CN115408771B - Design method of high-altitude ultra-long endurance large aspect ratio integrated unmanned aerial vehicle platform - Google Patents
Design method of high-altitude ultra-long endurance large aspect ratio integrated unmanned aerial vehicle platform Download PDFInfo
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Abstract
本发明提出一种高空超长航时大展弦比一体化无人飞行平台设计方法,从整体一体化的角度进行考虑整流天线的全平台设计,充分考虑各个总体、气动、结构等参数的传递性和关联性,而进入详细设计阶段,即可以采用一体化平台约束下的分部件设计以加快迭代流程。本发明中,通过一体化的思路分解约束条件和设计指标,在平台和天线上进行交互设计,最终实现了一体化下的模块化研发,整流天线以一体化模块的形式与平台结合,也即通过简单的连接关系即可将天线与平台完整的组成一个整体系统。
The present invention proposes a design method for a high-altitude, ultra-long-flight, large-aspect-ratio integrated unmanned aerial platform. The full-platform design of the rectenna is considered from the perspective of overall integration, and the transferability and relevance of various overall, aerodynamic, structural and other parameters are fully considered. When entering the detailed design stage, the sub-component design under the constraints of the integrated platform can be adopted to speed up the iterative process. In the present invention, the constraints and design indicators are decomposed through an integrated approach, and interactive design is performed on the platform and the antenna, and finally modular research and development under integration is realized. The rectenna is combined with the platform in the form of an integrated module, that is, the antenna and the platform can be completely combined into an integrated system through a simple connection relationship.
Description
技术领域Technical Field
本发明涉及无人飞行平台设计领域,具体为一种高空超长航时大展弦比一体化无人飞行平台设计方法。The present invention relates to the field of unmanned aerial platform design, and in particular to a design method for a high-altitude, ultra-long-flight, large-aspect-ratio integrated unmanned aerial platform.
背景技术Background technique
受能源危机和环保态势的影响,高空长航时飞行平台目前最重要的动力来源之一即为太阳能,先后诞生了众多利用太阳能作为动力的高空长航时无人飞行器,主要包括平流层太阳能飞艇和无人机。Affected by the energy crisis and environmental protection situation, one of the most important power sources for high-altitude, long-endurance flight platforms is solar energy. Many high-altitude, long-endurance unmanned aerial vehicles using solar energy as power have been born, mainly including stratospheric solar airships and drones.
1)平流层太阳能飞艇1) Stratospheric Solar Airship
太阳能动力飞艇采用在艇身表面铺设太阳能电池板,利用转换的能量来驱动螺旋桨进行飞行和操控。由于艇身巨大,太阳能电池板只能铺设在艇身上部,且材料限制导致铺设位置选择比较困难,实际可用的面积并不大,还要满足巨大的艇体设备和动力用电需求,技术难度很高。目前,仅有加拿大太阳能飞艇公司研制的太阳能动力飞艇和中国达天飞艇公司的CA-21R飞艇实现了试航。相对来讲,太阳能飞艇的实用性低于无人机。Solar-powered airships use solar panels laid on the surface of the hull, and use the converted energy to drive the propeller for flight and control. Due to the huge hull, solar panels can only be laid on the upper part of the hull, and material limitations make it difficult to choose the laying position. The actual available area is not large, and the huge hull equipment and power electricity requirements must be met, which is technically very difficult. At present, only the solar-powered airship developed by the Canadian Solar Airship Company and the CA-21R airship developed by China's Datian Airship Company have achieved trial flights. Relatively speaking, the practicality of solar-powered airships is lower than that of drones.
2)高空长航时太阳能无人机2) High-altitude, long-flight solar-powered drones
采用太阳能作为动力的无人机是在光照条件下通过机翼搭载的太阳能电池板维持动力并储存电能,飞行高度高,续航时间长,是目前各国研究的热点。尽管相比常规动力无人机,太阳能无人机在飞行性能和有效载荷能力等方面有明显不足,但是在长航时续航方面优势明显,理论上可以实现无线时间巡航。目前,比较著名的长航时无人机有美国航空环境公司与NASA联合研制的“太阳能”系列无人机;英国国防部下属公司研制的“西风”系列无人机。另外,瑞士苏黎世联邦理工学院研发的AtlantikSolar太阳能无人机于2015年创造了81h的连续飞行记录,UAVOS设计的ApusDuo自主式太阳能无人机旨在实现365天巡航的目标。而国内的科研院所和高校也开展了较多的太阳能飞机设计研究,2019年7月,西北工业大学周洲教授的“魅影”无人机MY-12实现了跨昼夜飞行,达到27h37min,是国内公开报道的续航时间最长的太阳能无人机。UAVs powered by solar energy maintain power and store electrical energy through solar panels on the wings under lighting conditions. They have high flight altitudes and long endurance, and are currently a hot topic of research in various countries. Although solar-powered UAVs have obvious shortcomings in flight performance and payload capacity compared to conventional powered UAVs, they have obvious advantages in long-flight endurance and can theoretically achieve wireless time cruising. At present, the more famous long-flight UAVs include the "Solar" series of UAVs jointly developed by the American AeroVironment Company and NASA; and the "Zephyr" series of UAVs developed by a company under the British Ministry of Defense. In addition, the AtlantikSolar solar-powered UAV developed by the Swiss Federal Institute of Technology in Zurich set a continuous flight record of 81 hours in 2015, and the ApusDuo autonomous solar-powered UAV designed by UAVOS aims to achieve the goal of 365-day cruising. Domestic research institutes and universities have also carried out a lot of research on solar aircraft design. In July 2019, Professor Zhou Zhou of Northwestern Polytechnical University's "Phantom" UAV MY-12 achieved cross-day and night flight, reaching 27 hours and 37 minutes, which is the longest-lasting solar-powered UAV publicly reported in China.
显然,目前以太阳能作为动力的超长航时无人机是发展的热点之一。但是,尽管理论上“无限航时”,但是因为天气、纬度、昼夜对照度的影响,太阳能飞行器需要在白天利用太阳能充电,晚上降低高度利用电池维持动力飞行,提高飞行效率,电池板接收太阳能的转换效率最高也不超过30%。当对充电影响过大时,即无法维持续航飞行。另外,由于需要电池维持太阳光较弱时的飞行,电池重量几乎占到全机总重量的40%以上,严重影响了其他载荷的搭载能力,因此太阳能无人机的机体结构重量很轻。而为了尽可能铺设更多的电池板,其展弦比通常很大,带来了严峻的气动弹性问题和控制问题。可以说,尽管可使用无限的太阳能实现飞行,但是载荷能力差、控制难度高、环境因素影响大、能量转换效率低是制约该类飞行器发展的关键问题。Obviously, ultra-long-flight UAVs powered by solar energy are currently one of the hot spots for development. However, despite the "unlimited flight time" in theory, due to the influence of weather, latitude, and day-night contrast, solar aircraft need to use solar energy to charge during the day, lower the altitude at night to use batteries to maintain powered flight, and improve flight efficiency. The maximum conversion efficiency of solar panels receiving solar energy does not exceed 30%. When the impact on charging is too great, it is impossible to maintain sustained flight. In addition, since batteries are needed to maintain flight when sunlight is weak, the weight of the battery accounts for almost 40% of the total weight of the aircraft, which seriously affects the carrying capacity of other loads. Therefore, the body structure of solar UAVs is very light. In order to lay as many panels as possible, the aspect ratio is usually large, which brings severe aeroelastic and control problems. It can be said that although unlimited solar energy can be used to achieve flight, poor load capacity, high control difficulty, large impact of environmental factors, and low energy conversion efficiency are the key issues restricting the development of this type of aircraft.
为此,以电力驱动的超长航时无人机设计需要从能量来源与利用、载荷能力、气动结构效能和控制方面进行综合考虑。最佳的方式应该是不减少载荷能力的前提下实现无限航时的高效飞行,即将常规动力长航时飞行器的优势与稳定的无限能量来源相互结合,实现辐射能量的高效转化。而目前的太阳能飞行器方案显然无法满足要求。Therefore, the design of ultra-long-flight UAVs driven by electricity needs to be comprehensively considered from the aspects of energy source and utilization, load capacity, aerodynamic structure efficiency and control. The best way should be to achieve efficient flight with unlimited flight time without reducing load capacity, that is, to combine the advantages of conventional powered long-flight aircraft with a stable and unlimited energy source to achieve efficient conversion of radiant energy. However, the current solar aircraft solution obviously cannot meet the requirements.
为实现无人机的超长航时稳定续航,采用微波作为无人机的动力装置能量来源成为一种新的无人平台供能方式。现在的微波能量功能无人平台相对较少,除了早期的一些飞艇和无人机之外,并没有见到较多实例。如1980年,加拿大开展了名为SHARP(StationaryHigh Altitude Relay Program)的研究,该研究中设计了一款重量为4.1kg的无人机,该无人机在10kw地面发射天线的驱动下持续飞行了20分钟,验证了这种能量驱动方式的可行性。但些平台目前存在的主要问题是:因为接收微波能量的天线要求接收面呈现圆形平面状,当前的平台方案均是将这种接收天线直接以部件的形式安装于无人平台的本体,天线和无人机没有融合设计,这种方式尽管简单,但是带来了气动、结构和能量接收方面的种种问题,飞行平台性能极差,整个系统的效率低下。In order to achieve ultra-long flight time and stable endurance of UAVs, microwaves are used as the energy source of the UAV power device, which has become a new way of powering unmanned platforms. There are relatively few unmanned platforms with microwave energy functions now. Except for some early airships and UAVs, there are not many examples. For example, in 1980, Canada conducted a study called SHARP (Stationary High Altitude Relay Program), in which a 4.1kg UAV was designed. The UAV flew continuously for 20 minutes under the drive of a 10kw ground transmitting antenna, verifying the feasibility of this energy driving method. However, the main problem with these platforms is that because the antenna receiving microwave energy requires the receiving surface to be circular and flat, the current platform solutions are to directly install this receiving antenna in the form of a component on the body of the unmanned platform, and the antenna and the UAV are not integrated. Although this method is simple, it brings various problems in aerodynamics, structure and energy reception, and the performance of the flight platform is extremely poor, and the efficiency of the entire system is low.
气动方面:Pneumatics:
接收天线多以吊装的方式挂载无人平台的机腹,对总体的气动力特性带来了很大的破坏,主要体现在阻力急剧增大,全机的操稳特性也会因为产生明显的变化,这对利用电能驱动螺旋桨的高空长航时无人机来讲是一种极大的干扰,严重恶化了最终的平台性能。The receiving antenna is usually mounted on the belly of the unmanned platform in a hoisting manner, which causes great damage to the overall aerodynamic characteristics, mainly manifested in a sharp increase in resistance. The handling and stability characteristics of the entire aircraft will also undergo significant changes. This is a great interference to high-altitude and long-endurance UAVs that use electricity to drive propellers, and seriously deteriorates the final platform performance.
结构方面:Structural aspects:
由于存在整流电路板,接收天线相对密度较大,因而总重量较大,尤其是对能量要求较高的大型无人飞行平台上,大面积的整流结构天线带来的重量极有可能抵消这种供能形式的收益。另外,由于天线尺寸较大,因此飞行过程中带来的气弹和振动效应明显。Due to the presence of the rectifier circuit board, the receiving antenna has a relatively high density, so the total weight is relatively large, especially on large unmanned aerial platforms with high energy requirements. The weight brought by the large-area rectifier structure antenna is likely to offset the benefits of this form of energy supply. In addition, due to the large size of the antenna, the air bomb and vibration effects during flight are obvious.
能量接收方面:Energy reception:
整流电路单独吊装在无人平台后,飞行过程中受载,容易产生结构变形,导致整流接收单元产生位移和相位偏差,影响波束收集效率。After the rectifier circuit is hoisted separately on the unmanned platform, it is loaded during flight and is prone to structural deformation, which causes displacement and phase deviation of the rectifier receiving unit, affecting the beam collection efficiency.
发明内容Summary of the invention
为解决现有技术存在的问题,本发明提出一种高空超长航时大展弦比一体化无人飞行平台设计方法,方案采用大展弦比翼身融合布局,在机身下方位置一体化设计了微波能量接收整流天线,能够将地面辐射的射频能量接收并转化为直流电,通过直流电驱动电动螺旋桨进行巡航飞行。设计方法以整流天线载荷的性能为牵引,围绕载荷开展飞行平台的气动、结构的融合设计工作。采用“气动设计→气动优化→结构/载荷电特性设计→-结构/载荷电特性优化→气动/结构/载荷电特性多学科协同优化→气动/结构/载荷电特性最优构型”的逐层设计以及逐步优化的方式,提高设计效率。In order to solve the problems existing in the prior art, the present invention proposes a design method for a high-altitude, ultra-long-endurance, large-aspect-ratio integrated unmanned aerial platform. The scheme adopts a large-aspect-ratio wing-body fusion layout, and an integrated microwave energy receiving rectifier antenna is designed under the fuselage. It can receive and convert the radio frequency energy radiated from the ground into direct current, and drive the electric propeller through direct current for cruise flight. The design method is driven by the performance of the rectifier antenna load, and the aerodynamic and structural fusion design of the flight platform is carried out around the load. The layer-by-layer design and step-by-step optimization method of "aerodynamic design → aerodynamic optimization → structural/load electrical characteristics design → -structural/load electrical characteristics optimization → multidisciplinary collaborative optimization of aerodynamic/structural/load electrical characteristics → optimal configuration of aerodynamic/structural/load electrical characteristics" is adopted to improve the design efficiency.
本发明的技术方案为:The technical solution of the present invention is:
一种高空超长航时大展弦比一体化无人飞行平台设计方法,包括以下步骤:A design method for a high-altitude, ultra-long-flight, large-aspect-ratio integrated unmanned aerial platform comprises the following steps:
步骤1:根据设计要求,确定无人飞行平台和天线载荷的基本特性;所述无人飞行平台的能量来源为地面发射端辐射的微波射频能量,通过空间传输后到达布置在所述无人飞行平台上的接收天线,再进一步转化为直流电;Step 1: According to the design requirements, the basic characteristics of the unmanned aerial platform and the antenna load are determined; the energy source of the unmanned aerial platform is the microwave radio frequency energy radiated by the ground transmitting end, which is transmitted through space to reach the receiving antenna arranged on the unmanned aerial platform, and then further converted into direct current;
步骤2:根据步骤1确定的天线载荷特性,确定天线载荷对无人飞行平台的约束和要求;Step 2: According to the antenna load characteristics determined in step 1, determine the constraints and requirements of the antenna load on the unmanned aerial platform;
步骤3:根据步骤2确定的天线载荷对无人飞行平台的约束和要求,以及设计性能要求,确定无人飞行平台的基本布局形式;Step 3: Determine the basic layout of the unmanned aerial platform based on the constraints and requirements of the antenna load on the unmanned aerial platform determined in step 2, as well as the design performance requirements;
步骤4:根据天线载荷对无人飞行平台的约束和要求,确定内外翼段翼型:Step 4: Determine the airfoil of the inner and outer wing sections based on the constraints and requirements of the antenna load on the unmanned aerial platform:
步骤5:综合天线载荷和无人飞行平台的基本特性、天线载荷对无人飞行平台的约束和要求以及无人飞行平台的基本布局形式,确定无人飞行平台外形及参数:Step 5: Determine the shape and parameters of the unmanned aerial platform by integrating the basic characteristics of the antenna payload and the unmanned aerial platform, the constraints and requirements of the antenna payload on the unmanned aerial platform, and the basic layout of the unmanned aerial platform:
根据典型大展弦比飞机的翼载荷参数以及步骤2中的平台约束和要求和步骤3中平台基本布局形式,确定机翼面积S,进而根据初定的展弦比获得展长b;Based on the wing loading parameters of a typical high aspect ratio aircraft As well as the platform constraints and requirements in step 2 and the basic platform layout in step 3, determine the wing area S, and then obtain the span b according to the initially determined aspect ratio;
根据起飞重量m以及巡航升阻比预估值(L/D)c,确定发动机的推力T和相应的功率需求P;Determine the engine thrust T and the corresponding power requirement P based on the takeoff weight m and the estimated cruise lift-to-drag ratio (L/D) c ;
根据天线能量密度约束,获得天线直径be;According to the antenna energy density constraint, the antenna diameter be is obtained;
根据静稳定裕度要求和典型V尾飞机尾容量经验数据,设计确定V尾沿弦向位置以及V尾的大小;According to the static stability margin requirements and the empirical data of the tail capacity of typical V-tail aircraft, the chordwise position of the V-tail and the size of the V-tail are determined by design;
根据典型V尾飞机操纵特性数据,确定初始的副翼和V尾舵面位置以及大小尺寸;Determine the initial position and size of ailerons and V-tail control surfaces based on typical V-tail aircraft handling characteristics data;
根据巡航升阻比预估值和功率需求,确定螺旋桨直径、桨叶数量以及桨叶外形;Determine the propeller diameter, number of blades, and blade shape based on the estimated cruise lift-to-drag ratio and power requirements;
根据以上参数,构建融合一体化接收整流天线的大展弦比飞行平台气动外形;Based on the above parameters, the aerodynamic shape of a high aspect ratio flight platform integrating an integrated receiving rectenna is constructed;
步骤6:对步骤5构建的大展弦比飞行平台气动特性进行仿真计算分析,确定初始飞行平台气动性能;包括起降构型气动性能分析和巡航构型气动性能分析;其中起降构型气动性能分析包括确定起降构型从0度到失速攻角的升力系数、阻力系数和俯仰力矩系数曲线CL~α,CD~α,Cm~α;巡航构型气动性能分析包括确定巡航构型从0度到失速攻角的升力系数、阻力系数和俯仰力矩系数曲线CLp~α,CDp~α,Cmp~α,巡航配平升阻比(L/D)c以及巡航静稳定裕度;Step 6: Simulate and calculate the aerodynamic characteristics of the high aspect ratio flight platform constructed in step 5 to determine the initial aerodynamic performance of the flight platform, including the aerodynamic performance analysis of the take-off and landing configuration and the aerodynamic performance analysis of the cruise configuration. The aerodynamic performance analysis of the take-off and landing configuration includes determining the lift coefficient, drag coefficient and pitch moment coefficient curves CL ~α, CD ~α, Cm ~α from 0 degrees to the stall angle of attack of the take-off and landing configuration; the aerodynamic performance analysis of the cruise configuration includes determining the lift coefficient, drag coefficient and pitch moment coefficient curves CLp ~α, CDp ~α, Cmp ~α from 0 degrees to the stall angle of attack of the cruise configuration, the cruise trim lift-to-drag ratio (L/D) c and the cruise static stability margin;
步骤7:根据步骤6得到的初始飞行平台气动性能仿真结果,以提高巡航升阻比(L/D)c、减小全机纵向低头力矩Cm为优化目标开展初始飞行平台多目标气动力优化,进行单一气动力优化设计工作,并根据气动外形优化结果,确定气动载荷分布;Step 7: Based on the initial flight platform aerodynamic performance simulation results obtained in step 6, the initial flight platform multi-objective aerodynamic optimization is carried out with the optimization objectives of improving the cruise lift-to-drag ratio (L/D) c and reducing the longitudinal nose-down moment C m of the entire aircraft, and a single aerodynamic optimization design is performed. Based on the aerodynamic shape optimization results, the aerodynamic load distribution is determined;
步骤8:根据步骤7得到的气动载荷分布,设计整流天线的内部结构形式和飞行平台的结构形式,完成初步的结构有限元特性分析;Step 8: Based on the aerodynamic load distribution obtained in step 7, design the internal structure of the rectenna and the structure of the flight platform, and complete the preliminary structural finite element characteristic analysis;
步骤9:在步骤7初步结构有限元特性分析的基础上,确定整流天线分布式天线结构的嵌入和融合方式,对设计方案的电特性进行仿真分析;Step 9: Based on the preliminary structural finite element characteristic analysis in step 7, determine the embedding and fusion method of the rectenna distributed antenna structure, and simulate and analyze the electrical characteristics of the design scheme;
步骤10:根据步骤9得到的电性能特性,进行融合一体化天线平台的结构/电集成设计优化;Step 10: Based on the electrical performance characteristics obtained in step 9, optimize the structural/electrical integration design of the integrated antenna platform;
步骤11:根据步骤7-10得到的平台外形布局方案、结构有限元方案和整流天线电特性方案,进行气动/结构/电辐射特性多学科协同优化设计,设计完成高空超长航时大展弦比一体化无人飞行平台。Step 11: Based on the platform shape layout plan, structural finite element plan and rectenna electrical characteristics plan obtained in steps 7-10, conduct multidisciplinary collaborative optimization design of aerodynamic/structural/electrical radiation characteristics to complete the design of a high-altitude, ultra-long-flight, large-aspect-ratio integrated unmanned flying platform.
进一步的,步骤1中,Furthermore, in step 1,
所述天线载荷的基本特性包括:天线载荷的几何外形、接收面积、天线直径、总厚度、能量转化效率以及能量密度;The basic characteristics of the antenna payload include: the geometric shape of the antenna payload, the receiving area, the antenna diameter, the total thickness, the energy conversion efficiency and the energy density;
所述无人飞行平台的基本特性包括:展弦比、巡航升阻比、巡航升力系数、起飞总重、机翼面积和静稳定裕度要求。The basic characteristics of the unmanned aerial platform include: aspect ratio, cruise lift-to-drag ratio, cruise lift coefficient, take-off gross weight, wing area and static stability margin requirements.
进一步的,步骤2中,天线载荷对平台的约束和要求包括:Furthermore, in step 2, the constraints and requirements of the antenna payload on the platform include:
1)根据天线载荷的接收面积,确定无人飞行平台上天线载荷布置区域面积,要求天线载荷在无人飞行平台上具有足够的布置面积;1) According to the receiving area of the antenna load, determine the area of the antenna load layout on the unmanned aerial platform, requiring the antenna load to have sufficient layout area on the unmanned aerial platform;
2)天线载荷布置区域为平面区域,且最大结构变形不大于设定要求;2) The antenna load layout area is a flat area, and the maximum structural deformation is not greater than the set requirements;
3)天线载荷布置区域的表面蒙皮厚度满足天线载荷总厚度要求。3) The surface skin thickness of the antenna load arrangement area meets the total thickness requirements of the antenna load.
进一步的,步骤3中,无人飞行平台的基本布局形式包括:Furthermore, in step 3, the basic layout of the unmanned aerial platform includes:
1)无人飞行平台采用大展弦比翼身融合布局形式,采用尾置电动螺旋桨驱动;1) The unmanned aerial platform adopts a high aspect ratio wing-body fusion layout and is driven by a tail-mounted electric propeller;
2)根据静稳定裕度要求,无人飞行平台采用倒V尾形式,避免螺旋桨滑流对V尾舵面效率的影响;2) According to the static stability margin requirements, the unmanned aerial platform adopts an inverted V-tail form to avoid the influence of propeller slipstream on the efficiency of the V-tail control surface;
3)根据天线结构变形约束,飞行平台的机身部位下方进行天线融合设计;3) According to the deformation constraint of antenna structure, antenna fusion design is performed under the fuselage of the flight platform;
4)根据展弦比和升阻比要求,确定外段机翼和内段翼身组合部位的面积;4) Determine the area of the outer wing and inner wing-body combination according to the aspect ratio and lift-to-drag ratio requirements;
5)采用翼稍小翼;5) Use winglets;
6)采用前三点式常规起降方式;6) Adopt the conventional three-point take-off and landing method;
7)副翼位于外翼段,控制滚转;俯仰和偏航由V尾舵面进行控制。7) Ailerons are located on the outer wing sections and control roll; pitch and yaw are controlled by the V-tail control surfaces.
进一步的,步骤4中,外翼段采用下表面为平直段的高升阻比翼型,翼型升阻比不低于设定要求;内翼身融合段翼型在高升阻比翼型的基础上进行进一步优化得到:Furthermore, in step 4, the outer wing section adopts a high lift-to-drag ratio airfoil with a straight lower surface, and the lift-to-drag ratio of the airfoil is not less than the set requirement; the airfoil of the inner wing-body fusion section is further optimized on the basis of the high lift-to-drag ratio airfoil to obtain:
设计状态:Ma=0.1356,雷诺数Re=0.34E6,攻角α=0°Design status: Ma = 0.1356, Reynolds number Re = 0.34E6, angle of attack α = 0°
设计目标:升阻比最大Design goal: maximum lift-to-drag ratio
约束条件:力矩系数Cm≥-0.13Constraints: Moment coefficient Cm ≥ -0.13
约束最大相对厚度T/C大于等于15%The maximum relative thickness T/C is greater than or equal to 15%
约束天线区域的内翼身融合段下表面为平直段:限制该区域y(x)=0,x∈(x1,x2),(x1,x2)为天线区域对应的内翼身融合段翼型下表面坐标。The lower surface of the inner wing-body fusion section in the constrained antenna area is a straight section: the area is restricted to y(x)=0, x∈(x1,x2), (x1,x2) are the coordinates of the lower surface of the inner wing-body fusion section airfoil corresponding to the antenna area.
进一步的,步骤7中,设计目标为:Furthermore, in step 7, the design goal is:
巡航升阻比最大(L/D)c,全机纵向低头力矩最小The cruise lift-to-drag ratio is the largest (L/D) c , and the longitudinal nose-down moment of the entire aircraft is the smallest
min 1/(L/D)c min 1/(L/D) c
min|Cm|min|C m |
设计约束为:The design constraints are:
巡航升力系数不小于初始值CLcinitial:The cruise lift coefficient is not less than the initial value C Lcinitial :
CLc≥CLcinitial C Lc ≥C Lcinitial
天线区域不发生变化:The antenna area does not change:
Areae=Areaeinitial Area e = Area einitial
全机展弦比不变:The aspect ratio of the whole machine remains unchanged:
进一步的,步骤8中,设计整流天线的内部结构形式和无人飞行平台的结构形式,完成初步的结构有限元特性分析包括:Furthermore, in step 8, the internal structure of the rectenna and the structure of the unmanned aerial platform are designed, and a preliminary structural finite element characteristic analysis is completed, including:
根据机翼气动载荷,以及气动弹性要求,确定采用兼顾承载和变形效率的双梁式结构形式,给定初步的前后梁位置、相对厚度以及高度分布;According to the wing aerodynamic load and aeroelastic requirements, it is determined to adopt a double-beam structure that takes into account both load-bearing and deformation efficiency, and the preliminary front and rear beam positions, relative thickness and height distribution are given;
根据整流天线区域的气动载荷约束,确定天线的结构形式为多层复合材料形式,总厚度δe与机翼蒙皮厚度一致,多层结构形式包括封装表面复合材料、蜂窝层;According to the aerodynamic load constraints of the rectenna area, the antenna structure is determined to be a multi-layer composite material, the total thickness δ e is consistent with the wing skin thickness, and the multi-layer structure includes a packaging surface composite material and a honeycomb layer;
根据天线区域和平台的连接方式,对平台的天线区域外周进行结构补强,天线结构与平台通过粘合方式实现连接;According to the connection method between the antenna area and the platform, the periphery of the antenna area of the platform is structurally reinforced, and the antenna structure and the platform are connected by bonding;
根据全机弯矩承载要求,机身内部横向布置盒型梁;According to the bending moment bearing requirements of the whole aircraft, box beams are arranged transversely inside the fuselage;
根据外形设计,V尾尾撑杆以碳管直接插入机身;According to the appearance design, the V-tail tail strut is directly inserted into the fuselage with a carbon tube;
根据承载要求,在机翼和机身内沿纵向布置多个框,连接尾撑杆、起落架、发动机和蒙皮;According to the load-bearing requirements, multiple frames are arranged longitudinally in the wings and fuselage to connect the tail strut, landing gear, engine and skin;
根据无人飞行平台总体受力情况,对全机的结构特性进行有限元分析,确定全机最大变形量以及应力集中点。According to the overall stress condition of the unmanned aerial platform, a finite element analysis is conducted on the structural characteristics of the entire aircraft to determine the maximum deformation of the entire aircraft and the stress concentration points.
进一步的,步骤9中,确定整流天线分布式天线结构的嵌入和融合方式,对设计方案的电特性进行仿真分析包括:Furthermore, in step 9, the embedding and integration method of the rectenna distributed antenna structure is determined, and the electrical characteristics of the design scheme are simulated and analyzed, including:
根据无人飞行平台的结构设计方案和受力情况,确定一体化整流天线的嵌合形式为嵌入天线区域的多层复合材料结构中,形成泡沫夹心,天线部位的夹层结构形式为:封装表面复材、上蜂窝、天线层、下蜂窝、复材;According to the structural design and stress conditions of the unmanned aerial platform, the integrated rectenna is embedded in the multi-layer composite material structure of the antenna area to form a foam sandwich. The sandwich structure of the antenna part is: packaging surface composite material, upper honeycomb, antenna layer, lower honeycomb, composite material.
根据确定的平台蒙皮总厚度约束δe,确定融入一体化接收整流天线的电辐射性能参数,包括方向图、峰值增益、耦合度;对电性能进行仿真,得到电辐射性能特性。According to the determined total thickness constraint δ e of the platform skin, the electric radiation performance parameters of the integrated receiving rectenna are determined, including the directivity pattern, peak gain, and coupling degree; the electric performance is simulated to obtain the electric radiation performance characteristics.
进一步的,步骤10中,进行融合一体化天线平台的结构/电集成设计优化过程为:Furthermore, in step 10, the structural/electrical integration design optimization process of the integrated antenna platform is as follows:
目标函数为辐射性能f(x),全机结构特性g(x),即以最优力学性能、最优电辐射性能为优化目标;取a为蒙皮厚度,b为泡沫厚度,δwf为前梁厚度,δwb为后梁厚度,δr1,…δrn为纵向布置的翼肋厚度,建立一体化阵列的机电集成设计数学模型如下:The objective function is the radiation performance f(x) and the overall structural characteristics g(x), that is, the optimal mechanical performance and the optimal electrical radiation performance are taken as the optimization targets; a is taken as the skin thickness, b is the foam thickness, δ wf is the front beam thickness, δ wb is the rear beam thickness, δ r1 ,…δ rn is the thickness of the longitudinally arranged wing ribs, and the mechanical and electrical integration design mathematical model of the integrated array is established as follows:
设计目标为:全机结构重量最轻g(x),电辐射性能f(x)最好The design goals are: the lightest overall structural weight g(x) and the best electrical radiation performance f(x)
min 1/f(x)min 1/f(x)
min g(x)min g(x)
设计约束为:蒙皮厚度限定范围amin≤a≤amax The design constraints are: Skin thickness limit range a min ≤ a ≤ a max
泡沫厚度限定范围bmin≤b≤bmax The foam thickness is limited to b min ≤ b ≤ b max
前梁厚度限定范围δwfmin≤δwf≤δwfmax Front beam thickness limit range δ wfmin ≤δ wf ≤δ wfmax
后梁厚度限定范围δwbmin≤δwb≤δwbmax Rear beam thickness limit range δ wbmin ≤δ wb ≤δ wbmax
翼肋厚度限定范围 Rib thickness limit
翼稍变形限定范围:ewt≤ewtmax Limit range of wing tip deformation: e wt ≤ e wtmax
使用优化算法进行融合一体化天线平台的结构/电集成设计优化,得到结构性能和电辐射性能最优的布置方案。The optimization algorithm is used to optimize the structural/electrical integration design of the fusion integrated antenna platform to obtain the layout plan with the best structural performance and electrical radiation performance.
进一步的,步骤11中,进行气动/结构/电辐射特性多学科协同优化设计的过程为:给定设计变量,包括:Furthermore, in step 11, the process of multidisciplinary collaborative optimization design of aerodynamic/structural/electric radiation characteristics is as follows: given design variables, including:
气动方面:翼展、前缘后掠角、后缘后掠角、上反角安装角、特征截面厚度、特征截面弯度、特征截面最大厚度位置、根稍比、翼稍小翼外倾角;Aerodynamics: wingspan, leading edge sweep angle, trailing edge sweep angle, dihedral installation angle, characteristic section thickness, characteristic section curvature, characteristic section maximum thickness position, root-to-wing ratio, winglet camber angle;
结构方面:前梁厚度、后梁厚度、机身位置加强梁位置、加强梁厚度、特征截面翼肋厚度、天线区域的泡沫厚度、封装复合材料厚度、翼稍变形量;Structure: front beam thickness, rear beam thickness, fuselage reinforcement beam position, reinforcement beam thickness, characteristic section wing rib thickness, antenna area foam thickness, packaging composite material thickness, wing tip deformation;
电特性方面:天线阵元大小、天线阵元数量、天线阵元排布方式;Electrical characteristics: antenna element size, number of antenna elements, and antenna element arrangement;
设计目标为:The design goals are:
气动方面:全机巡航升阻比不低于步骤7优化值(L/C)c≥(L/C)c-firstopt Aerodynamics: The cruise lift-to-drag ratio of the whole aircraft is not less than the optimized value in step 7 (L/C) c ≥ (L/C) c-firstopt
结构方面:全机结构重量不超过步骤10优化值:g(x)≤g(x)firstopt Structural aspect: The weight of the whole machine structure does not exceed the optimization value in step 10: g(x)≤g(x) firstopt
电性能方面:全机的辐射性能不低于步骤10的优化值:f(x)≥f(x)firstopt Electrical performance: The radiation performance of the whole machine is not less than the optimized value in step 10: f(x)≥f(x) firstopt
设计约束为:The design constraints are:
气动外形约束:Aerodynamic shape constraints:
巡航升力系数不小于步骤7优化值:CLc≥CLcfirstopt The cruise lift coefficient is not less than the optimized value in step 7: C Lc ≥ C Lcfirstopt
天线区域不发生变化:Areae=Areaeinitial The antenna area does not change: Area e = Area einitial
全机展弦比不变: The aspect ratio of the whole machine remains unchanged:
结构约束:Structural constraints:
蒙皮厚度限定范围amin≤a≤amax Skin thickness limit range a min ≤ a ≤ a max
泡沫厚度限定范围bmin≤b≤bmax The foam thickness is limited to b min ≤ b ≤ b max
前梁厚度限定范围δwfmin≤δwf≤δwfmax Front beam thickness limit range δ wfmin ≤δ wf ≤δ wfmax
后梁厚度限定范围δwbmin≤δwb≤δwbmax Rear beam thickness limit range δ wbmin ≤δ wb ≤δ wbmax
翼肋厚度限定范围 Rib thickness limit
翼稍变形限定范围ewt≤ewtmax Wing tip deformation limit range e wt ≤ e wtmax
电特性约束:Electrical characteristics constraints:
阵元有效面积限定范围:Ses≤Sesmax Array element effective area limit range: S es ≤ S esmax
阵元数量限定范围:Nes≤Nesmax Array element quantity limit range: Nes ≤ Nesmax
使用优化算法进行气动/结构/电辐射特性多学科协同优化设计,得到高空超长航时大展弦比一体化无人飞行平台方案。An optimization algorithm is used to conduct multidisciplinary collaborative optimization design of aerodynamic/structural/electric radiation characteristics, and a solution for a high-altitude, ultra-long-flight, large-aspect-ratio integrated unmanned flying platform is obtained.
有益效果Beneficial Effects
本发明提出的高空超长航时大展弦比一体化无人飞行平台设计方法从整体一体化的角度进行考虑整流天线的全平台设计,充分考虑各个总体、气动、结构等参数的传递性和关联性,而进入详细设计阶段,即可以采用一体化平台约束下的分部件设计以加快迭代流程。本发明中,通过一体化的思路分解约束条件和设计指标,在平台和天线上进行交互设计,最终实现了一体化下的模块化研发,整流天线以一体化模块的形式与平台结合,也即通过简单的连接关系即可将天线与平台完整的组成一个整体系统。The design method of the high-altitude, ultra-long-flight, large-aspect-ratio integrated unmanned aerial platform proposed in the present invention considers the full-platform design of the rectenna from the perspective of overall integration, fully considering the transferability and relevance of various overall, aerodynamic, structural and other parameters, and entering the detailed design stage, that is, the sub-component design under the constraints of the integrated platform can be adopted to speed up the iterative process. In the present invention, the constraints and design indicators are decomposed through an integrated approach, and interactive design is performed on the platform and the antenna, and finally modular research and development under integration is realized. The rectenna is combined with the platform in the form of an integrated module, that is, the antenna and the platform can be completely combined into an integrated system through a simple connection relationship.
最终设计得到的大展弦比一体化无人飞行平台采用大展弦比翼身融合布局,在翼梢增加翼梢小翼以进一步减小诱导阻力。作为全机动力装置来源,整流接收天线与全机气动和结构一体化设计,从外形上保证了全机的气动特性,而由于整流接收天线采用与机体表面结构类似的蒙皮、泡沫等复合设计形式,两者可以达到结构上的高度统一和融合,具有相近的力学特性,因而可以作为一个整体来考虑其承载特性,有效避免了外部整流天线加装后的结构重量特性差的弊端。The high aspect ratio integrated unmanned aerial platform finally designed adopts a high aspect ratio wing-body fusion layout, and adds winglets at the wingtips to further reduce induced drag. As the source of the whole aircraft power unit, the rectifier antenna is integrated with the aerodynamic and structural design of the whole aircraft, which ensures the aerodynamic characteristics of the whole aircraft from the appearance. Since the rectifier antenna adopts a composite design form such as skin and foam similar to the surface structure of the fuselage, the two can achieve a high degree of structural unity and integration, and have similar mechanical properties. Therefore, its load-bearing characteristics can be considered as a whole, effectively avoiding the disadvantages of poor structural weight characteristics after the external rectifier antenna is installed.
本发明的附加方面和优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the present invention will be given in part in the following description and in part will be obvious from the following description, or will be learned through practice of the present invention.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
本发明的上述和/或附加的方面和优点从结合下面附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and easily understood from the description of the embodiments in conjunction with the following drawings, in which:
图1:大展弦比一体化无人飞行平台全局视图;Figure 1: Global view of the large aspect ratio integrated unmanned aerial platform;
图2:大展弦比一体化无人飞行平台三视图;Figure 2: Three views of the large aspect ratio integrated unmanned aerial platform;
图3:大展弦比一体化无人飞行平台接收天线位置视图和天线视图;Figure 3: Location view and antenna view of the receiving antenna of the large aspect ratio integrated unmanned aerial platform;
图4:大展弦比一体化无人飞行平台整流接收天线结构示意图。Figure 4: Schematic diagram of the structure of the large aspect ratio integrated unmanned aerial platform rectifying receiving antenna.
其中:标号1为翼梢小翼,标号2为外翼段,标号3为前起落架,标号4为电动螺旋桨推进系统,标号5为尾撑杆,标号6为倒V尾,标号7为内翼段(翼身融合段),标号8为副翼,标号9为V尾舵面,标号10为一体化接收整流天线,标号11为天线和平台的融合连接结构。Among them: label 1 is the winglet, label 2 is the outer wing section, label 3 is the front landing gear, label 4 is the electric propeller propulsion system, label 5 is the tail strut, label 6 is the inverted V-tail, label 7 is the inner wing section (wing-body fusion section), label 8 is the aileron, label 9 is the V-tail rudder, label 10 is the integrated receiving rectifier antenna, and label 11 is the fusion connection structure of the antenna and the platform.
具体实施方式Detailed ways
以电力驱动的超长航时无人机设计需要从能量来源与利用、载荷能力、气动结构效能和控制方面进行综合考虑,最佳的方式应该是不减少载荷能力的前提下实现无限航时的高效飞行,即将常规动力长航时飞行器的优势与稳定的无限能量来源相互结合,实现辐射能量的高效转化。但目前的太阳能飞行器并不能满足要求。因此,为了实现无人机的超长航时稳定续航,采用微波作为无人机的动力装置能量来源成为一种新的无人平台供能方式,接收微波能量的天线要求接收面呈现圆形平面状,而已有的微波能量功能无人平台均是将这种接收天线直接以部件的形式安装于无人平台的本体,没有进行融合设计,导致气动、结构和能量接收方面都存在较多问题。The design of an ultra-long-flight UAV driven by electricity needs to be comprehensively considered from the aspects of energy source and utilization, load capacity, aerodynamic structure efficiency and control. The best way should be to achieve efficient flight with unlimited flight time without reducing the load capacity, that is, to combine the advantages of conventional powered long-flight aircraft with a stable and unlimited energy source to achieve efficient conversion of radiant energy. However, current solar aircraft cannot meet the requirements. Therefore, in order to achieve ultra-long flight and stable endurance of UAVs, using microwaves as the energy source of the UAV's power device has become a new way to supply energy to unmanned platforms. The antenna that receives microwave energy requires the receiving surface to be circular and flat, while the existing microwave energy function unmanned platforms all install this receiving antenna directly on the unmanned platform body in the form of a component without any fusion design, resulting in many problems in aerodynamics, structure and energy reception.
为此,本发明在保证能量接收效率的前提下,提出了一种高空超长航时大展弦比一体化无人飞行平台设计方法,能够将整流接收天线和无人平台高度一体化融合,,消除外露天线带来的气动、结构和能量接收方面的问题,提高整个平台的效率。To this end, the present invention proposes a design method for a high-altitude, ultra-long-flight, large-aspect-ratio integrated unmanned aerial platform under the premise of ensuring energy receiving efficiency, which can highly integrate the rectifying receiving antenna and the unmanned platform, eliminate the aerodynamic, structural and energy receiving problems caused by the outdoor antenna, and improve the efficiency of the entire platform.
下面结合具体实施例描述本发明:The present invention is described below in conjunction with specific embodiments:
本实施例要求实现的高空超长航时大展弦比无人机主要功能是在18km以上高空进行定点巡航,实现对一定区域范围的连续不间断监控和侦察,也可以执行应急救援过程中的地面信息监控以及信号中继任务。为此,无人飞行平台采用大展弦比翼身融合布局,在机身下方位置一体化设计了微波能量接收整流天线,能够将地面辐射的射频能量接收并转化为直流电,通过直流电驱动电动螺旋桨进行巡航飞行。无人飞行平台设计特点主要体现在:1)大展弦比翼身融合布局加翼稍小翼,能够在高空低雷诺数环境下保证较好的升阻比特性,从而减小飞行功耗,提高功效比;2)一体化接收整流天线布局形式,将整流天线与机体外形、结构融合一体化设计,能够减小或者消除天线载荷对机体外形和结构特性的影响。The main function of the high-altitude, ultra-long-flight, high-aspect-ratio UAV required to be realized in this embodiment is to carry out fixed-point cruising at an altitude of more than 18km, to achieve continuous and uninterrupted monitoring and reconnaissance of a certain area, and to perform ground information monitoring and signal relay tasks during emergency rescue. To this end, the unmanned aerial platform adopts a large aspect ratio wing-body fusion layout, and an integrated microwave energy receiving rectifier antenna is designed under the fuselage, which can receive and convert the radio frequency energy radiated from the ground into direct current, and drive the electric propeller through direct current for cruising flight. The design features of the unmanned aerial platform are mainly reflected in: 1) The large aspect ratio wing-body fusion layout plus the winglet can ensure a good lift-to-drag ratio characteristic in a high-altitude low Reynolds number environment, thereby reducing flight power consumption and improving power efficiency; 2) The integrated receiving rectifier antenna layout form integrates the rectifier antenna with the body shape and structure into an integrated design, which can reduce or eliminate the influence of the antenna load on the body shape and structural characteristics.
该无人飞行平台设计方法的基本思路是:首先根据设计要求,分解平台和天线载荷的基本特性,明确相互干扰关系;根据载荷的要求,确定平台的设计边界,从而构建初步的布局形式;从二维翼型到三维构型,完成飞行平台的外形设计,并首先开展第一次的气动优化,从气动层面获得较优的外形方案;在气动外形方案限定的基础上,对内部结构特性和天线的力电特性进行设计,并开展气动外形限定下的全机结构/电性能的综合优化设计,获得第一轮力电优化外形;最后在已有的优化气动外形、结构方案和天线方案的基础上,利用梯度法进行全平台气动/结构/电特性的多学科协同优化设计,获得最优方案构型。The basic idea of the unmanned aerial platform design method is: first, according to the design requirements, the basic characteristics of the platform and antenna loads are decomposed to clarify the mutual interference relationship; according to the load requirements, the design boundary of the platform is determined to construct a preliminary layout form; from the two-dimensional wing profile to the three-dimensional configuration, the shape design of the flight platform is completed, and the first aerodynamic optimization is carried out first to obtain a better shape scheme from the aerodynamic level; on the basis of the limitation of the aerodynamic shape scheme, the internal structural characteristics and the electromechanical characteristics of the antenna are designed, and the comprehensive optimization design of the whole machine structure/electrical performance under the limitation of the aerodynamic shape is carried out to obtain the first round of electromechanical optimized shape; finally, on the basis of the existing optimized aerodynamic shape, structural scheme and antenna scheme, the gradient method is used to carry out multidisciplinary collaborative optimization design of the aerodynamic/structural/electrical characteristics of the whole platform to obtain the optimal scheme configuration.
具体步骤如下:Specific steps are as follows:
步骤1:根据设计要求,确定平台和天线载荷的基本特性:Step 1: Determine the basic characteristics of the platform and antenna payload based on the design requirements:
该平台的能量来源为地面发射端辐射的微波射频能量,通过空间传输后到达接收天线,再进一步转化为直流电。因为微波发射之后形成圆形覆盖区域,要求接收端也为平整的圆面,因而接收端天线载荷的基本特性包括:The energy source of the platform is the microwave radio frequency energy radiated by the ground transmitter, which reaches the receiving antenna after being transmitted through space and is further converted into direct current. Because the microwave forms a circular coverage area after transmission, the receiving end is also required to be a flat circular surface, so the basic characteristics of the receiving end antenna load include:
几何外形:圆形;接收面积:Se,与全平台最终的功率需求相关;天线直径:De;总厚度:he,与结构设计方案相关;能量转化效率:η;能量密度:ρa,与天线电特性相关。Geometric shape: circular; receiving area: Se , related to the final power requirement of the entire platform; antenna diameter: De ; total thickness: he , related to the structural design scheme; energy conversion efficiency: η; energy density: ρa , related to the electrical characteristics of the antenna.
而平台的基本特性包括:The basic features of the platform include:
展弦比:巡航升阻比:(L/D)c;巡航升力系数:CLc;起飞总重:m;机翼面积:Sw;静稳定裕度要求,本实施例中取10%。Aspect Ratio: Cruise lift-to-drag ratio: (L/D) c ; Cruise lift coefficient: C Lc ; Take-off gross weight: m; Wing area: S w ; Static stability margin requirement, which is 10% in this embodiment.
步骤2:根据天线载荷特性,确定天线载荷对平台的约束和要求:Step 2: Determine the constraints and requirements of the antenna payload on the platform based on the antenna payload characteristics:
根据步骤1获得的天线载荷特性,对平台设计的约束为:According to the antenna load characteristics obtained in step 1, the constraints on platform design are:
1)天线具有足够的布置面积;1) The antenna has sufficient layout area;
2)天线布置区域受结构变形影响小,为平面区域,也即天线下表面具有平整度要求;2) The antenna layout area is less affected by structural deformation and is a flat area, that is, the lower surface of the antenna has flatness requirements;
3)天线载荷布置区域的表面蒙皮厚度hw满足要求,即hw=he。3) The surface skin thickness hw of the antenna load arrangement area meets the requirements, that is, hw = he .
步骤3:根据天线载荷约束和要求,以及设计性能要求,确定飞行平台的基本布局形式:Step 3: Determine the basic layout of the flight platform based on antenna load constraints and requirements, as well as design performance requirements:
根据步骤2中天线载荷对平台的约束和要求以及步骤1平台基本特性的要求,初步确定平台的基本布局形式,主要包括:According to the constraints and requirements of the antenna payload on the platform in step 2 and the requirements of the basic characteristics of the platform in step 1, the basic layout of the platform is preliminarily determined, mainly including:
1)根据高空低雷诺数要求,平台采用大展弦比翼身融合布局形式,采用尾置电动螺旋桨驱动;1) According to the requirements of high altitude and low Reynolds number, the platform adopts a large aspect ratio wing-body fusion layout and is driven by a tail-mounted electric propeller;
2)根据静稳定裕度要求,飞行平台采用倒V尾形式,避免螺旋桨滑流对V尾舵面效率的影响;2) According to the static stability margin requirements, the flight platform adopts an inverted V-tail form to avoid the influence of propeller slipstream on the efficiency of the V-tail control surface;
3)根据天线结构变形等约束,飞行平台的机身部位下方进行天线融合设计;3) Based on constraints such as antenna structure deformation, antenna fusion design is performed under the fuselage of the flight platform;
4)受展弦比和升阻比的共同影响,确定外段机翼和内段翼身组合部位的面积;4) Under the influence of aspect ratio and lift-to-drag ratio, determine the area of the outer wing and inner wing-body combination;
5)为减少诱导阻力,提高升阻比,采用翼稍小翼;5) To reduce induced drag and improve lift-to-drag ratio, winglets are used;
6)采用常规起降方式;6) Use conventional take-off and landing methods;
7)副翼位于外翼段,控制滚转;俯仰和偏航由V尾舵面进行控制。7) Ailerons are located on the outer wing sections and control roll; pitch and yaw are controlled by the V-tail control surfaces.
步骤4:根据天线载荷约束和平台要求,确定内外翼段翼型:Step 4: Determine the inner and outer wing sections’ airfoils based on the antenna load constraints and platform requirements:
为保证全机升阻特性并兼顾天线下表面的平整度约束,外翼段采用下表面为平直段的高升阻比翼型,内翼身融合段采用带平整性约束的优化翼型:In order to ensure the lift-to-drag characteristics of the whole aircraft and take into account the flatness constraint of the lower surface of the antenna, the outer wing section adopts a high lift-to-drag ratio airfoil with a straight lower surface, and the inner wing-body fusion section adopts an optimized airfoil with flatness constraints:
内翼身融合段翼型在高升阻比翼型的基础上进行进一步优化,主要目标为提高18km巡航高度的升阻比:The inner wing-body fusion section airfoil is further optimized based on the high lift-to-drag ratio airfoil, with the main goal of improving the lift-to-drag ratio at a cruising altitude of 18km:
设计状态:Ma=0.1356,雷诺数Re=0.34E6,攻角α=0°Design status: Ma = 0.1356, Reynolds number Re = 0.34E6, angle of attack α = 0°
设计目标:升阻比最大Design goal: maximum lift-to-drag ratio
约束条件:力矩系数Cm≥-0.13Constraints: Moment coefficient Cm ≥ -0.13
约束最大相对厚度T/C大于等于15%The maximum relative thickness T/C is greater than or equal to 15%
约束天线区域的内翼身融合段下表面为平直段,即限制该区域y(x)=0,x∈(x1,x2),(x1,x2)为天线区域对应的内翼身融合段翼型下表面坐标;The lower surface of the inner wing-body fusion section in the constrained antenna area is a straight section, that is, the area is restricted to y(x) = 0, x∈(x1,x2), (x1,x2) are the coordinates of the lower surface of the inner wing-body fusion section airfoil corresponding to the antenna area;
采用Hicks-Henne解析函数法参数化翼型,使用MQPSO优化算法优化翼型的最大升阻比,种群规模20,迭代代数30,获得优化后的内翼身融合段翼型。The Hicks-Henne analytical function method is used to parameterize the airfoil, and the MQPSO optimization algorithm is used to optimize the maximum lift-to-drag ratio of the airfoil. The population size is 20 and the iteration number is 30. The optimized inner wing-to-body fusion section airfoil is obtained.
步骤5:综合载荷和平台的特征,确定基本的平台外形及参数:Step 5: Consider the characteristics of the load and platform to determine the basic platform shape and parameters:
根据典型大展弦比飞机的翼载荷参数以及步骤2中的平台约束和要求和步骤3中平台基本布局形式,确定机翼面积S,进而根据初定的展弦比获得展长b;Based on the wing loading parameters of a typical high aspect ratio aircraft As well as the platform constraints and requirements in step 2 and the basic platform layout in step 3, determine the wing area S, and then obtain the span b according to the initially determined aspect ratio;
根据起飞重量m以及巡航升阻比预估值(L/D)c,确定发动机的推力T和相应的功率需求P;Determine the engine thrust T and the corresponding power requirement P based on the takeoff weight m and the estimated cruise lift-to-drag ratio (L/D) c ;
根据天线能量密度约束,获得天线直径be;According to the antenna energy density constraint, the antenna diameter be is obtained;
根据静稳定裕度要求和典型V尾飞机尾容量经验数据,设计确定V尾沿弦向位置以及V尾的大小;According to the static stability margin requirements and the empirical data of the tail capacity of typical V-tail aircraft, the chordwise position of the V-tail and the size of the V-tail are determined by design;
根据典型V尾飞机操纵特性数据,确定初始的副翼和V尾舵面位置以及大小尺寸;Determine the initial position and size of ailerons and V-tail control surfaces based on typical V-tail aircraft handling characteristics data;
根据巡航升阻比预估值和功率需求,确定螺旋桨直径、桨叶数量以及桨叶外形;Determine the propeller diameter, number of blades, and blade shape based on the estimated cruise lift-to-drag ratio and power requirements;
根据以上参数,构建融合一体化接收整流天线的大展弦比飞行平台气动外形。Based on the above parameters, the aerodynamic shape of a high aspect ratio flight platform integrating an integrated receiving rectenna is constructed.
步骤6:对步骤5构建的大展弦比飞行平台气动特性进行仿真计算分析,确定初始飞行平台气动性能;包括起降构型气动性能分析和巡航构型气动性能分析;其中起降构型气动性能分析包括确定起降构型从0度到失速攻角的升力系数、阻力系数和俯仰力矩系数曲线CL~α,CD~α,Cm~α;巡航构型气动性能分析包括确定巡航构型从0度到失速攻角的升力系数、阻力系数和俯仰力矩系数曲线CLp~α,CDp~α,Cmp~α,巡航配平升阻比(L/D)c以及巡航静稳定裕度;Step 6: Simulate and calculate the aerodynamic characteristics of the high aspect ratio flight platform constructed in step 5 to determine the initial aerodynamic performance of the flight platform, including the aerodynamic performance analysis of the take-off and landing configuration and the aerodynamic performance analysis of the cruise configuration. The aerodynamic performance analysis of the take-off and landing configuration includes determining the lift coefficient, drag coefficient and pitch moment coefficient curves CL ~α, CD ~α, Cm ~α from 0 degrees to the stall angle of attack of the take-off and landing configuration; the aerodynamic performance analysis of the cruise configuration includes determining the lift coefficient, drag coefficient and pitch moment coefficient curves CLp ~α, CDp ~α, Cmp ~α from 0 degrees to the stall angle of attack of the cruise configuration, the cruise trim lift-to-drag ratio (L/D) c and the cruise static stability margin;
步骤7:根据步骤6得到的初始飞行平台气动性能仿真结果,进行单一气动力优化设计工作:Step 7: Based on the initial flight platform aerodynamic performance simulation results obtained in step 6, perform single aerodynamic optimization design:
根据得到的初始飞行平台气动力数据与设计目标之间的差异,以提高巡航升阻比(L/D)c、减小全机纵向低头力矩Cm为优化目标开展初始飞行平台多目标气动力优化。According to the difference between the initial flight platform aerodynamic data and the design target, the multi-objective aerodynamic optimization of the initial flight platform was carried out with the optimization targets of improving the cruise lift-to-drag ratio (L/D) c and reducing the longitudinal nose-down moment C m of the whole aircraft.
设计目标为:The design goals are:
巡航升阻比最大(L/D)c,全机纵向低头力矩最小The cruise lift-to-drag ratio is the largest (L/D) c , and the longitudinal nose-down moment of the entire aircraft is the smallest
min 1/(L/D)c min 1/(L/D) c
min|Cm|min|C m |
设计约束为:The design constraints are:
巡航升力系数不小于初始值CLcinitial:The cruise lift coefficient is not less than the initial value C Lcinitial :
CLc≥CLcinitial C Lc ≥C Lcinitial
天线区域不发生变化:The antenna area does not change:
Areae=Areaeinitial Area e = Area einitial
全机展弦比不变:The aspect ratio of the whole machine remains unchanged:
优化设计中方案的参数化使用FFD方法,网格变形采用IDW方法,使用改进的PSO粒子群优化算法进行寻优,使用代理模型进行优化加速。优化设计首先使用拉丁超立方生成不少于500个初始样本点,使用混合加点方式加点不少于300次,前期优化使用固定设计空间,后期使用自适应设计空间扩大优化成果。The parameterization of the scheme in the optimization design uses the FFD method, the mesh deformation uses the IDW method, the improved PSO particle swarm optimization algorithm is used for optimization, and the proxy model is used for optimization acceleration. The optimization design first uses Latin hypercube to generate no less than 500 initial sample points, and uses the mixed point addition method to add points no less than 300 times. The fixed design space is used in the early optimization, and the adaptive design space is used in the later stage to expand the optimization results.
根据气动外形优化结果,确定气动载荷分布。According to the aerodynamic shape optimization results, the aerodynamic load distribution is determined.
步骤8:根据步骤7得到的气动载荷分布,设计整流天线的内部结构形式和飞行平台的结构形式,完成初步的结构有限元特性分析,包括:Step 8: Based on the aerodynamic load distribution obtained in step 7, design the internal structure of the rectenna and the structure of the flight platform, and complete the preliminary structural finite element characteristic analysis, including:
根据机翼气动载荷,以及气动弹性要求,确定兼顾承载和变形效率的双梁式结构形式,给定初步的前后梁位置、相对厚度以及高度分布;According to the wing aerodynamic load and aeroelastic requirements, determine the double-beam structure that takes into account both load-bearing and deformation efficiency, and give the preliminary front and rear beam positions, relative thickness and height distribution;
根据整流天线区域的气动载荷约束,确定天线的结构形式为多层复合材料形式,总厚度δe与机翼蒙皮厚度一致,多层结构形式分别为:封装表面复合材料、蜂窝层等。According to the aerodynamic load constraints of the rectenna area, the antenna structure is determined to be a multi-layer composite material. The total thickness δe is consistent with the wing skin thickness. The multi-layer structural forms are: package surface composite material, honeycomb layer, etc.
根据天线区域和平台的连接方式,对平台的天线区域外周进行结构补强,天线结构与平台通过粘合方式实现连接;According to the connection method between the antenna area and the platform, the periphery of the antenna area of the platform is structurally reinforced, and the antenna structure and the platform are connected by bonding;
根据全机弯矩承载要求,机身内部横向布置盒型梁;According to the bending moment bearing requirements of the whole aircraft, box beams are arranged transversely inside the fuselage;
根据外形设计,V尾尾撑杆以碳管直接插入机身;According to the appearance design, the V-tail tail strut is directly inserted into the fuselage with a carbon tube;
根据承载要求,在机翼和机身内沿纵向布置多个框,连接尾撑杆、起落架、发动机和蒙皮等。According to the load-bearing requirements, multiple frames are arranged longitudinally inside the wings and fuselage to connect the tail strut, landing gear, engine and skin, etc.
根据总体受力情况,使用FEM方法对全机的结构特性进行有限元分析,确定全机最大变形量以及应力集中点。According to the overall stress conditions, the FEM method is used to conduct finite element analysis on the structural characteristics of the entire machine to determine the maximum deformation of the entire machine and the stress concentration point.
步骤9:在初步结构有限元特性分析的基础上,确定整流天线分布式天线结构的嵌入和融合方式,对设计方案的电特性进行仿真分析:Step 9: Based on the preliminary structural finite element characteristic analysis, determine the embedding and integration method of the rectenna distributed antenna structure, and simulate and analyze the electrical characteristics of the design scheme:
根据全平台的结构设计方案和受力情况,确定一体化整流天线的嵌合形式为嵌入天线区域的多层复合材料结构中,形成泡沫夹心,也即天线部位的夹层结构形式为:封装表面复材、上蜂窝、天线层、下蜂窝、复材;According to the structural design and stress conditions of the entire platform, the integrated rectenna is embedded in the multi-layer composite material structure of the antenna area to form a foam sandwich, that is, the sandwich structure of the antenna part is: packaging surface composite material, upper honeycomb, antenna layer, lower honeycomb, composite material;
根据确定的平台蒙皮总厚度约束δe,确定融入一体化接收整流天线的电辐射性能参数,包括方向图、峰值增益、耦合度;对电性能进行仿真,得到电辐射性能特性;According to the determined total thickness constraint δ e of the platform skin, the electric radiation performance parameters of the integrated receiving rectenna are determined, including the directivity pattern, peak gain, and coupling degree; the electric performance is simulated to obtain the electric radiation performance characteristics;
步骤10:根据初始的电性能特性,进行融合一体化天线平台的结构/电集成设计优化:Step 10: Based on the initial electrical performance characteristics, optimize the structural/electrical integration design of the integrated antenna platform:
目标函数为辐射性能f(x),全机结构特性g(x),即以最优力学性能(包括刚强度)、最优电辐射性能(包括方向图、峰值增益、耦合度等)为优化目标。设a为蒙皮厚度,b为泡沫厚度,δwf为前梁厚度,δwb为后梁厚度,δr1,…δrn为纵向布置的翼肋厚度,建立一体化阵列的机电集成设计数学模型如下:The objective function is the radiation performance f(x) and the overall structural characteristics g(x), that is, the optimal mechanical performance (including rigidity) and the optimal electrical radiation performance (including directivity, peak gain, coupling, etc.) are optimized. Let a be the skin thickness, b be the foam thickness, δ wf be the front beam thickness, δ wb be the rear beam thickness, δ r1 ,…δ rn be the longitudinally arranged rib thickness, and the mechanical and electrical integration design mathematical model of the integrated array is established as follows:
设计目标为:全机结构重量最轻g(x),电辐射性能f(x)最好The design goals are: the lightest overall structural weight g(x) and the best electrical radiation performance f(x)
min 1/f(x)min 1/f(x)
min g(x)min g(x)
设计约束为:蒙皮厚度限定范围amin≤a≤amax The design constraints are: Skin thickness limit range a min ≤ a ≤ a max
泡沫厚度限定范围bmin≤b≤bmax The foam thickness is limited to b min ≤ b ≤ b max
前梁厚度限定范围δwfmin≤δwf≤δwfmax Front beam thickness limit range δ wfmin ≤δ wf ≤δ wfmax
后梁厚度限定范围δwbmin≤δwb≤δwbmax Rear beam thickness limit range δ wbmin ≤δ wb ≤δ wbmax
翼肋厚度限定范围 Rib thickness limit
翼稍变形限定范围:ewt≤ewtmax;Limit range of wing tip deformation: e wt ≤ e wtmax ;
使用优化算法进行融合一体化天线平台的结构/电集成设计优化,得到结构性能和电辐射性能最优的布置方案。The optimization algorithm is used to optimize the structural/electrical integration design of the fusion integrated antenna platform to obtain the layout plan with the best structural performance and electrical radiation performance.
步骤11:根据步骤7-10得到的平台外形布局方案、结构有限元方案和整流天线电特性方案,进行气动/结构/电辐射特性多学科协同优化设计:Step 11: Based on the platform shape layout scheme, structural finite element scheme and rectenna electrical characteristic scheme obtained in steps 7-10, conduct multidisciplinary collaborative optimization design of aerodynamic/structural/electrical radiation characteristics:
在步骤7中,通过优化算法对飞行平台的气动特性进行了优化设计,得到了从气动方面相对最优的构型,接着以该气动外形为基础,在步骤10中,对融合整流天线的方案的结构和电辐射性能特性进行了进一步的优化设计,得到了结构性能和电辐射性能最优的布置方案。两个步骤的优化分别获取了外形和内部力电特性最优的方案,而接下来就是以内外最优构型为基础,开展全飞行平台融合一体化整流天线的气动/结构/电特性多学科协同优化设计。因为步骤7和步骤10的优化方案已经是相对最优的方案初值,因此在该步骤的多学科协同优化设计中可以给定相对较合理的初始值。In step 7, the aerodynamic characteristics of the flight platform were optimized by the optimization algorithm, and the relatively optimal configuration from the aerodynamic aspect was obtained. Then, based on the aerodynamic shape, in step 10, the structure and electrical radiation performance characteristics of the fusion rectenna scheme were further optimized, and the optimal layout scheme for structural performance and electrical radiation performance was obtained. The optimization of the two steps respectively obtained the optimal schemes for the shape and internal electromechanical characteristics, and the next step is to carry out the multidisciplinary collaborative optimization design of the aerodynamic/structural/electrical characteristics of the integrated rectenna of the full flight platform based on the optimal internal and external configurations. Because the optimization schemes of steps 7 and 10 are already the relatively optimal initial values of the schemes, relatively reasonable initial values can be given in the multidisciplinary collaborative optimization design of this step.
根据全平台的设计需求,以及步骤7、10的优化设计过程,给定设计变量,包括:According to the design requirements of the entire platform and the optimization design process of steps 7 and 10, the design variables are given, including:
气动方面:翼展、前缘后掠角、后缘后掠角、上反角安装角、特征截面厚度、特征截面弯度、特征截面最大厚度位置、根稍比、翼稍小翼外倾角;Aerodynamics: wingspan, leading edge sweep angle, trailing edge sweep angle, dihedral installation angle, characteristic section thickness, characteristic section curvature, characteristic section maximum thickness position, root-to-wing ratio, winglet camber angle;
结构方面:前梁厚度、后梁厚度、机身位置加强梁位置、加强梁厚度、特征截面翼肋厚度、天线区域的泡沫厚度、封装复合材料厚度、翼稍变形量;Structure: front beam thickness, rear beam thickness, fuselage reinforcement beam position, reinforcement beam thickness, characteristic section wing rib thickness, antenna area foam thickness, packaging composite material thickness, wing tip deformation;
电特性方面:天线阵元大小、天线阵元数量、天线阵元排布方式Electrical characteristics: antenna element size, number of antenna elements, and antenna element arrangement
设计目标为:The design goals are:
气动方面:全机巡航升阻比不低于步骤7优化值(L/C)c≥(L/C)c-firstopt Aerodynamics: The cruise lift-to-drag ratio of the whole aircraft is not less than the optimized value in step 7 (L/C) c ≥ (L/C) c-firstopt
结构方面:全机结构重量不超过步骤10优化值:g(x)≤g(x)firstopt Structural aspect: The weight of the whole machine structure does not exceed the optimization value in step 10: g(x)≤g(x) firstopt
电性能方面:全机的辐射性能不低于步骤10的优化值:f(x)≥f(x)firstopt Electrical performance: The radiation performance of the whole machine is not less than the optimized value in step 10: f(x)≥f(x) firstopt
设计约束为:The design constraints are:
气动外形约束:Aerodynamic shape constraints:
巡航升力系数不小于步骤7优化值:CLc≥CLcfirstopt The cruise lift coefficient is not less than the optimized value in step 7: C Lc ≥ C Lcfirstopt
天线区域不发生变化:Areae=Areaeinitial The antenna area does not change: Area e = Area einitial
全机展弦比不变: The aspect ratio of the whole machine remains unchanged:
结构约束:Structural constraints:
蒙皮厚度限定范围amin≤a≤amax Skin thickness limit range a min ≤ a ≤ a max
泡沫厚度限定范围bmin≤b≤bmax The foam thickness is limited to b min ≤ b ≤ b max
前梁厚度限定范围δwfmin≤δwf≤δwfmax Front beam thickness limit range δ wfmin ≤δ wf ≤δ wfmax
后梁厚度限定范围δwbmin≤δwb≤δwbmax Rear beam thickness limit range δ wbmin ≤δ wb ≤δ wbmax
翼肋厚度限定范围 Rib thickness limit
翼稍变形限定范围ewt≤ewtmax Wing tip deformation limit range e wt ≤ e wtmax
电特性约束:Electrical characteristics constraints:
阵元有效面积限定范围:Ses≤Sesmax Array element effective area limit range: S es ≤ S esmax
阵元数量限定范围:Nes≤Nesmax Array element quantity limit range: Nes ≤ Nesmax
至此,完成了全平台的气动/结构/电辐射特性多学科协同优化设计,最终得到的平台几何特征为:So far, the multidisciplinary collaborative optimization design of the aerodynamic/structural/electrical radiation characteristics of the entire platform has been completed, and the final platform geometric characteristics are:
1)全机翼展30m,展弦比20,设定的大展弦比可以保证低速高空飞行的气动效率;当然,根据性能的要求对展弦比进行进一步的优化和修改,该参数与一体化接收天线的供能相关,因此根据相应要求进行优化设定。1) The wingspan of the aircraft is 30m and the aspect ratio is 20. The large aspect ratio can ensure the aerodynamic efficiency of low-speed and high-altitude flight. Of course, the aspect ratio is further optimized and modified according to the performance requirements. This parameter is related to the power supply of the integrated receiving antenna, so it is optimized and set according to the corresponding requirements.
2)机翼面积45m2,整流天线面积为15.918m2,面积占比根据能量需求确定;2) The wing area is 45m 2 , the rectenna area is 15.918m 2 , and the area ratio is determined according to the energy demand;
3)翼身融合截面的翼型为升阻比满足设定要求的高升阻比翼型,最大相对厚度为12.0044%,最大厚度位置位于弦长30%处,下表面适配天线要求,有较长直线段;翼稍小翼翼型为常规NACA0012翼型,主要用来减小诱导阻力,提高全机气动效率;全机沿展向无扭转,当然,可以根据性能要求对翼型的选择进行进一步优化适配;3) The airfoil of the wing-body fusion section is a high lift-to-drag ratio airfoil whose lift-to-drag ratio meets the set requirements, with a maximum relative thickness of 12.0044%, and the maximum thickness position is located at 30% of the chord length. The lower surface is adapted to the antenna requirements and has a long straight section; the winglet airfoil is a conventional NACA0012 airfoil, which is mainly used to reduce induced drag and improve the aerodynamic efficiency of the whole aircraft; the whole aircraft has no torsion along the span direction. Of course, the selection of the airfoil can be further optimized and adapted according to the performance requirements;
4)一体化整流天线呈圆形平面,直径为4.502m,圆心距离机头位置为3.015m处,一体化整流天线由蒙皮、上下层泡沫、整流天线封装而成,能量接收能力约为1km/m2,折算的巡航功率供需要求为8KW;4) The integrated rectenna is a circular plane with a diameter of 4.502m. The center of the circle is 3.015m away from the nose. The integrated rectenna is composed of skin, upper and lower foam layers, and rectenna packaging. The energy receiving capacity is about 1km/ m2 , and the converted cruise power supply and demand requirement is 8KW;
5)尾撑杆长度为6m,每片V尾的面积1.8375m2,其后缘40%的面积为舵面,展长为2.5m,弦长为0.3m,主要用来进行纵、横航向的姿态控制;5) The tail strut is 6m long, and the area of each V-tail is 1.8375m2 . 40% of the area of the trailing edge is the rudder surface, with a span of 2.5m and a chord length of 0.3m, which is mainly used for longitudinal and lateral attitude control;
6)副翼位于机翼外侧,靠近翼稍小翼,其展长为3.5m,弦长为0.15m,和V尾一起参与横向操纵;6) The aileron is located on the outside of the wing, close to the wing tip, with a span of 3.5m and a chord length of 0.15m. It participates in lateral control together with the V-tail;
7)采用两叶电动尾推桨作为动力装置,桨叶采用S1223叶素翼型,桨根到桨尖扭转角为60度,桨叶直径为2.5m,当然,该桨叶可以根据推进装置需求进行进一步的优化改进;7) A two-blade electric tail propeller is used as the power device. The propeller blade adopts the S1223 blade element airfoil, the torsion angle from the root to the tip is 60 degrees, and the blade diameter is 2.5m. Of course, the blade can be further optimized and improved according to the requirements of the propulsion device;
8)采用前三点式起落架,前起因受下表面天线的影响向上收起到机身上表面舱内,主起向前收到下表面的起落架舱内。8) The front three-point landing gear is adopted. The front lift is retracted upward into the upper compartment of the fuselage due to the influence of the lower surface antenna, and the main lift is retracted forward into the landing gear compartment on the lower surface.
本发明最终得到的高空超长航时大展弦比一体化无人飞行平台采用大展弦比翼身融合布局,在翼梢增加翼梢小翼以进一步减小诱导阻力。作为全机动力装置来源,整流接收天线与全机气动和结构一体化设计,从外形上保证了全机的气动特性,而由于整流接收天线采用与机体表面结构类似的蒙皮、泡沫等复合设计形式,两者可以达到结构上的高度统一和融合,具有相近的力学特性,因而可以作为一个整体来考虑其承载特性,有效避免了外部整流天线加装后的结构重量特性差的弊端。The high-altitude, ultra-long-duration, high-aspect-ratio integrated unmanned aerial platform finally obtained by the present invention adopts a high-aspect-ratio wing-body fusion layout, and adds winglets at the wingtips to further reduce induced drag. As the source of the whole aircraft power device, the rectifier receiving antenna is integrated with the aerodynamic and structural design of the whole aircraft, which ensures the aerodynamic characteristics of the whole aircraft from the appearance. Since the rectifier receiving antenna adopts a composite design form such as skin and foam similar to the surface structure of the fuselage, the two can achieve a high degree of structural unity and integration, and have similar mechanical properties. Therefore, its load-bearing characteristics can be considered as a whole, effectively avoiding the disadvantage of poor structural weight characteristics after the external rectifier antenna is installed.
实际设计加工时,从整体一体化的角度进行考虑整流天线的全平台设计,充分考虑各个总体、气动、结构等参数的传递性和关联性,而进入详细设计阶段,即可以采用一体化平台约束下的分部件设计以加快迭代流程。本发明中,通过一体化的思路分解约束条件和设计指标,在平台和天线上进行交互设计,最终实现了一体化下的模块化研发,整流天线以一体化模块的形式与平台结合,也即通过简单的连接关系即可将天线与平台完整的组成一个整体系统。During the actual design and processing, the full platform design of the rectenna is considered from the perspective of overall integration, and the transferability and relevance of various overall, aerodynamic, structural and other parameters are fully considered. When entering the detailed design stage, the sub-component design under the constraints of the integrated platform can be adopted to speed up the iteration process. In the present invention, the constraints and design indicators are decomposed through an integrated approach, and interactive design is performed on the platform and the antenna, and finally modular research and development under integration is realized. The rectenna is combined with the platform in the form of an integrated module, that is, the antenna and the platform can be completely combined into an integrated system through a simple connection relationship.
尽管上面已经示出和描述了本发明的实施例,可以理解的是,上述实施例是示例性的,不能理解为对本发明的限制,本领域的普通技术人员在不脱离本发明的原理和宗旨的情况下在本发明的范围内可以对上述实施例进行变化、修改、替换和变型。Although the embodiments of the present invention have been shown and described above, it is to be understood that the above embodiments are illustrative and are not to be construed as limitations on the present invention. A person skilled in the art may change, modify, substitute and modify the above embodiments within the scope of the present invention without departing from the principles and purpose of the present invention.
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