[go: up one dir, main page]

CN118332847A - A modeling and analysis method for giant magnetostrictive transducer considering the effects of temperature and loss - Google Patents

A modeling and analysis method for giant magnetostrictive transducer considering the effects of temperature and loss Download PDF

Info

Publication number
CN118332847A
CN118332847A CN202410325058.7A CN202410325058A CN118332847A CN 118332847 A CN118332847 A CN 118332847A CN 202410325058 A CN202410325058 A CN 202410325058A CN 118332847 A CN118332847 A CN 118332847A
Authority
CN
China
Prior art keywords
giant magnetostrictive
temperature
transducer
loss
magnetic
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202410325058.7A
Other languages
Chinese (zh)
Other versions
CN118332847B (en
Inventor
赵能桐
彭超毅
高兵
黄博浩
徐修贤
徐千鸣
何志兴
宁倩
李湖胜
杨文虎
吴泽伟
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Hunan University
Original Assignee
Hunan University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Hunan University filed Critical Hunan University
Priority to CN202410325058.7A priority Critical patent/CN118332847B/en
Publication of CN118332847A publication Critical patent/CN118332847A/en
Application granted granted Critical
Publication of CN118332847B publication Critical patent/CN118332847B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Measuring Magnetic Variables (AREA)

Abstract

The invention discloses a modeling analysis method of a giant magnetostrictive transducer considering temperature and loss influence. Firstly, establishing an electric-magnetic-thermal simulation model of the giant magnetostrictive transducer, and obtaining the axial temperature distribution difference and the temperature rise change interval of the giant magnetostrictive rod through temperature field analysis of the giant magnetostrictive transducer; and then, aiming at parameters [ s ], [ d ] and [ mu ] of an electromagnetic-mechanical model which mainly influence the giant magnetostrictive transducer, introducing complex parameters for representing three energy losses of the giant magnetostrictive transducer, taking temperature influence into consideration by a function fitting method based on experimental data of temperature characteristics of the giant magnetostrictive material, and building a frequency domain calculation model of the electroacoustic transducer to simulate electroacoustic output characteristics of the transducer at different temperatures, so that accurate simulation of impedance and sound source level curves at different temperatures is realized, and further, the optimization design of the electroacoustic transducer and the regulation and control of an operation strategy with optimal working performance are guided.

Description

一种考虑温度和损耗影响的超磁致伸缩换能器建模分析方法A modeling and analysis method for giant magnetostrictive transducer considering the effects of temperature and loss

技术领域Technical Field

本发明涉及超磁致伸缩换能器测量领域技术领域,尤其涉及一种考虑温度和损耗影响的超磁致伸缩换能器建模分析方法。The invention relates to the technical field of giant magnetostrictive transducer measurement, and in particular to a giant magnetostrictive transducer modeling and analysis method taking into account the influence of temperature and loss.

背景技术Background technique

随着新型材料的兴起,超磁致伸缩材料凭借应变大、能量密度高和响应速度快等优良的性能优势逐渐占有传统压电材料市场。通过高频周期性磁场可以驱动超磁致伸缩棒往复振动,基于该特性可用于研制超磁致伸缩换能器。但超磁致伸缩材料是一种铁磁材料,受交变磁场的影响会产生涡流效应,随频率上升其涡流损耗大幅增加,长时间运行发热严重。同时,许多学者通过研究发现,超磁致伸缩材料具有温度敏感性,小幅度的温度变化会对其性能参数造成较大的影响,温度的扰动会引入非线性变化,针对换能器输出特性的研究将更加困难。国内外研究学者常用等效电路法和阻抗分析法对换能器整体建模,表征系统的输出特性。等效电路法的公式推导复杂,且参数辨识困难,容易陷入局部最优解,且参数很难通用与对各种工况;通过有限元方法建立的阻抗模型更加直观,且三维信息丰富,具有明确的物理意义,适合复杂结构的换能器电声特性分析。超磁致伸缩换能器的能量转化过程中,存在磁能损耗、磁-机耦合损耗和机械损耗,然而现有基于实数域的建模方法忽略了损耗的影响,难以有效预测换能器阻抗;此外,电声换能器密闭性强,散热途径少,其内部温度较高,而超磁致伸缩棒输出性能对温度具有较高敏感性,高温环境会严重降低换能器输出性能和效率,然而现有建模方法尚未涉及温度的影响,不能精确描述变温条件下的超磁致伸缩换能器输出特性。因此,构建考虑温度和损耗影响的超磁致伸缩电声特性分析方法是有效掌握电声换能器输出特性的关键,能够指导电声换能器优化设计和最佳工作性能的运行策略调控。With the rise of new materials, giant magnetostrictive materials have gradually occupied the traditional piezoelectric material market with their excellent performance advantages such as large strain, high energy density and fast response speed. The giant magnetostrictive rod can be driven to vibrate reciprocatingly by a high-frequency periodic magnetic field. Based on this characteristic, it can be used to develop a giant magnetostrictive transducer. However, the giant magnetostrictive material is a ferromagnetic material. It will produce eddy current effect under the influence of the alternating magnetic field. Its eddy current loss will increase significantly with the increase of frequency, and it will generate serious heat after long-term operation. At the same time, many scholars have found through research that giant magnetostrictive materials are temperature sensitive. Small temperature changes will have a great impact on their performance parameters. Temperature disturbances will introduce nonlinear changes, and the study of transducer output characteristics will be more difficult. Domestic and foreign researchers often use equivalent circuit method and impedance analysis method to model the overall transducer and characterize the output characteristics of the system. The formula derivation of the equivalent circuit method is complex, and the parameter identification is difficult. It is easy to fall into the local optimal solution, and the parameters are difficult to be universal and for various working conditions; the impedance model established by the finite element method is more intuitive, and has rich three-dimensional information, with clear physical meaning, suitable for the analysis of the electroacoustic characteristics of transducers with complex structures. In the energy conversion process of the giant magnetostrictive transducer, there are magnetic energy losses, magneto-mechanical coupling losses and mechanical losses. However, the existing modeling methods based on the real number domain ignore the influence of losses and it is difficult to effectively predict the transducer impedance. In addition, the electroacoustic transducer is highly sealed, has few heat dissipation paths, and has a high internal temperature. The output performance of the giant magnetostrictive rod is highly sensitive to temperature. High temperature environment will seriously reduce the output performance and efficiency of the transducer. However, the existing modeling methods have not yet involved the influence of temperature and cannot accurately describe the output characteristics of the giant magnetostrictive transducer under variable temperature conditions. Therefore, constructing a giant magnetostrictive electroacoustic characteristic analysis method that considers the influence of temperature and loss is the key to effectively mastering the output characteristics of the electroacoustic transducer, and can guide the optimization design of the electroacoustic transducer and the operation strategy regulation of the best working performance.

发明内容Summary of the invention

本发明的目的在于针对现有技术不足,提供一种考虑温度和损耗影响的超磁致伸缩换能器的电声特性分析方法,通过电-磁-机-声的多物理场有限元建模计算,获得不同温度下的声源级和阻抗曲线,指导超磁致伸缩换能器在不同温度下的输出特性研究。The purpose of the present invention is to provide an electroacoustic characteristic analysis method of a giant magnetostrictive transducer taking into account the influence of temperature and loss in view of the shortcomings of the prior art. Through the multi-physics field finite element modeling calculation of electro-magnetic-mechanical-acoustic, the sound source level and impedance curve at different temperatures are obtained to guide the study of the output characteristics of the giant magnetostrictive transducer at different temperatures.

为了实现本发明的目的,本发明采取的技术方案为:In order to achieve the purpose of the present invention, the technical solution adopted by the present invention is:

一种考虑温度和损耗影响的超磁致伸缩换能器建模分析方法,包括以下步骤:A modeling and analysis method for a giant magnetostrictive transducer considering the influence of temperature and loss comprises the following steps:

S1.建立参数化的超磁致伸缩换能器三维结构并简化细节,确认超磁致伸缩换能器几何尺寸参数,定义全局变量:半长轴a、半短轴b、外壳厚度e、外壳高度c、超磁致伸缩棒材半径r1高度h1;S1. Establish a parameterized three-dimensional structure of the giant magnetostrictive transducer and simplify the details, confirm the geometric size parameters of the giant magnetostrictive transducer, and define global variables: semi-major axis a, semi-minor axis b, shell thickness e, shell height c, giant magnetostrictive rod radius r1 height h1;

S2.根据简化后的超磁致伸缩换能器三维结构建立电磁场计算模型;S2. Establish an electromagnetic field calculation model based on the simplified three-dimensional structure of the giant magnetostrictive transducer;

其中:将驱动线圈视为均匀多匝,确定匝数N和输入电流I,并将两驱动线圈电流定义为相反方向,通过导磁硅钢磁轭以形成连续的磁回路;Wherein: the driving coil is regarded as a uniform multi-turn, the number of turns N and the input current I are determined, and the currents of the two driving coils are defined as being in opposite directions, and a continuous magnetic circuit is formed through the magnetic silicon steel yoke;

同时,采用棒材-永磁体-棒材分段式的振子结构,建立超磁致伸缩棒的压磁效应模型,定义磁化的主轴方向;At the same time, a sectional vibrator structure of rod-permanent magnet-rod is adopted to establish the piezomagnetic effect model of the giant magnetostrictive rod and define the main axis direction of magnetization.

其中:永磁体剩磁方向与线圈激励磁场同向,作为超磁致伸缩棒偏置磁场的激励源;Among them: the direction of the permanent magnet remanence is the same as the coil excitation magnetic field, which serves as the excitation source of the giant magnetostrictive rod bias magnetic field;

S3.根据简化后的超磁致伸缩换能器三维结构建立温度场计算模型,基于损耗结果模拟超磁致伸缩换能器整体的瞬态温升情况,分析超磁致伸缩棒的轴向分布规律,获得超磁致伸缩换能器温升区间范围以及轴向温度的空间分布;S3. Establish a temperature field calculation model based on the simplified three-dimensional structure of the giant magnetostrictive transducer, simulate the transient temperature rise of the giant magnetostrictive transducer as a whole based on the loss results, analyze the axial distribution of the giant magnetostrictive rod, and obtain the temperature rise range of the giant magnetostrictive transducer and the spatial distribution of the axial temperature;

其中:涉及超磁致伸缩换能器的电-磁-热多物理场的计算,计算超磁致伸缩换能器的主要损耗,包括线圈的交流损耗、超磁致伸缩棒的涡流损耗和磁滞损耗;Among them: the calculation of the electric-magnetic-thermal multi-physics field of the giant magnetostrictive transducer is involved, and the main losses of the giant magnetostrictive transducer are calculated, including the AC loss of the coil, the eddy current loss and hysteresis loss of the giant magnetostrictive rod;

S4.搭建超磁致伸缩材料的温度特性实验测试平台,得到基于超磁致伸缩材料温度特性的实验测试结果,通过多项式拟合方法,对影响输出特性的主要材料参数进行拟合,最小化误差和函数 获得超磁致伸缩材料温度相关的复数域函数,并通过参数反演获得复数域函数表征损耗;S4. Build a temperature characteristics experimental test platform for giant magnetostrictive materials, obtain experimental test results based on the temperature characteristics of giant magnetostrictive materials, and fit the main material parameters that affect the output characteristics through polynomial fitting methods to minimize errors and functions. The temperature-dependent complex domain function of the giant magnetostrictive material is obtained, and the complex domain function is obtained to characterize the loss through parameter inversion;

S5.基于S2中建立的电磁场计算模型搭建超磁致伸缩棒的磁致伸缩模型,将S4中获得的超磁致伸缩材料温度相关的复数域函数作为磁致伸缩模型的矩阵参数,通过线性压磁方程迭代计算获得超磁致伸缩棒的磁-机输出特性,将机械输出作为声-固耦合计算的初始条件;S5. Based on the electromagnetic field calculation model established in S2, a magnetostrictive model of the giant magnetostrictive rod is constructed, and the temperature-related complex domain function of the giant magnetostrictive material obtained in S4 is used as the matrix parameter of the magnetostrictive model. The magnetic-mechanical output characteristics of the giant magnetostrictive rod are obtained by iterative calculation of the linear piezomagnetic equation, and the mechanical output is used as the initial condition for the acoustic-solid coupling calculation;

S6.根据S5中建立的超磁致伸缩换能器三维模型的电磁-机械多物理场耦合计算模型结合声-固耦合建立超磁致伸缩换能器三维模型的电声特性仿真模型,定义外场声压的计算变量,设置声场计算的介质域,并添加完美匹配层(PML)作为无限远域,将无限远的边界条件作为声的吸收边界,增强模型迭代的收敛性和准确性;S6. According to the electromagnetic-mechanical multi-physics field coupling calculation model of the giant magnetostrictive transducer three-dimensional model established in S5, the electroacoustic characteristic simulation model of the giant magnetostrictive transducer three-dimensional model is established in combination with the acoustic-solid coupling, the calculation variables of the external field sound pressure are defined, the medium domain of the sound field calculation is set, and a perfect matching layer (PML) is added as an infinite domain, and the infinite boundary condition is used as the sound absorption boundary to enhance the convergence and accuracy of the model iteration;

S7.基于S3获得超磁致伸缩换能器温升区间范围以及轴向温度的空间分布,选择需要模拟的温度区间,通过S6建立的电声特性仿真模型模拟不同温度点下的超磁致伸缩换能器频域响应,保存外场声压的计算结果,并根据计算结果处理计算声源级;S7. Based on the temperature rise range of the giant magnetostrictive transducer and the spatial distribution of the axial temperature obtained in S3, the temperature range to be simulated is selected, the frequency domain response of the giant magnetostrictive transducer at different temperature points is simulated through the electroacoustic characteristic simulation model established in S6, the calculation results of the external field sound pressure are saved, and the sound source level is calculated according to the calculation results;

S8.通过交流阻抗和外场声压计算不同温度下的阻抗和声源级,得到相应曲线。S8. Calculate the impedance and sound source level at different temperatures through AC impedance and external field sound pressure to obtain the corresponding curve.

进一步的,所述S2中电磁场计算模型的表达式为闭合路径的磁场H的线积分等于穿过该回路所包围面积的电流代数和:Furthermore, the expression of the electromagnetic field calculation model in S2 is that the line integral of the magnetic field H of the closed path is equal to the algebraic sum of the currents passing through the area enclosed by the loop:

∮H·dl=∑Ik ∮H·dl=∑I k

简化后,线圈的磁场遵循表达式如下:After simplification, the magnetic field of the coil follows the expression:

Hl=NIHl=NI

其中:H为线圈提供的磁场强度,I为线圈电流大小,N为线圈总匝数,l为线圈的轴向长度;Where: H is the magnetic field strength provided by the coil, I is the coil current, N is the total number of turns of the coil, and l is the axial length of the coil;

超磁致伸缩棒的磁场分布情况满足麦克斯韦方程组:The magnetic field distribution of the giant magnetostrictive rod satisfies Maxwell's equations:

其中J、D、B满足以下方程:Where J, D, and B satisfy the following equation:

J=σE;J = σE;

D=εE;D = εE;

B=μH=μ0μrHB=μH=μ 0 μ r H

其中:J为超磁致伸缩棒的电流密度,D为电位移,E为电场强度,B为超磁致伸缩棒的磁感应强度,μ0为真空磁导率,μr为相对磁导率。Where: J is the current density of the giant magnetostrictive rod, D is the electric displacement, E is the electric field strength, B is the magnetic induction intensity of the giant magnetostrictive rod, μ0 is the vacuum magnetic permeability, and μr is the relative magnetic permeability.

进一步的,所述S3中,建立的温度场计算模型如下:Furthermore, in S3, the temperature field calculation model established is as follows:

其中:Qe为电磁损耗,由阻性损耗和磁性损耗组成。E*为电场强度的共轭复数,H*为外磁场的共轭复数,ω为角频率。Where: Qe is the electromagnetic loss, which is composed of resistive loss and magnetic losses E * is the conjugate complex number of the electric field intensity, H * is the conjugate complex number of the external magnetic field, and ω is the angular frequency.

进一步的,所述S4中获得材料的温度相关函数的方法原理如下:Furthermore, the principle of the method for obtaining the temperature correlation function of the material in S4 is as follows:

超磁致伸缩材料主要参数的温度特性实验数据有n组,作为拟合的样本点如下:There are n groups of experimental data on the temperature characteristics of the main parameters of giant magnetostrictive materials, and the sample points used for fitting are as follows:

{(T1,s1,d1,μ1),(T2,s2,d2,μ2)…(Tn,sn,dn,μn)}{(T 1 , s 1 , d 1 , μ 1 ), (T 2 , s 2 , d 2 , μ 2 ) ... (T n , s n , d n , μ n )}

可以观察到参数矩阵[s]、[d]和[μ]中,各个元素的样本点分布规律大致符合二次多项式:It can be observed that the sample point distribution of each element in the parameter matrices [s], [d], and [μ] roughly conforms to the quadratic polynomial:

采用误差平方和作为目标函数:The sum of squared errors is used as the objective function:

求∈的最小值获得最佳拟合系数a0、a1和a2,通过参数反向优化获得超磁致伸缩材料的复数域温度相关函数如下:The minimum value of ∈ is obtained to obtain the best fitting coefficients a 0 , a 1 and a 2 . The complex domain temperature correlation function of the giant magnetostrictive material is obtained by parameter inverse optimization as follows:

其中:as0为柔顺系数的常数项拟合系数,as1为柔顺系数的一次项拟合系数,as2为柔顺系数的二次项拟合系数,ad0为压磁系数的常数项拟合系数,ad1为压磁系数的一次项拟合系数,ad2为压磁系数的二次项拟合系数,aμ0为磁导率的常数项拟合系数,aμ1为磁导率的一次项拟合系数,aμ2为磁导率的二次项拟合系数。Wherein: a s0 is the constant term fitting coefficient of the compliance coefficient, a s1 is the linear term fitting coefficient of the compliance coefficient, a s2 is the quadratic term fitting coefficient of the compliance coefficient, a d0 is the constant term fitting coefficient of the piezomagnetic coefficient, a d1 is the linear term fitting coefficient of the piezomagnetic coefficient, a d2 is the quadratic term fitting coefficient of the piezomagnetic coefficient, a μ0 is the constant term fitting coefficient of the magnetic permeability, a μ1 is the linear term fitting coefficient of the magnetic permeability, and a μ2 is the quadratic term fitting coefficient of the magnetic permeability.

进一步的,所述S5中超磁致伸缩棒的磁致伸缩模型的控制方程如下:Furthermore, the control equation of the magnetostrictive model of the giant magnetostrictive rod in S5 is as follows:

其中,超磁致伸缩换能器的压磁模型实数域线性表达形式如下:Among them, the real-domain linear expression of the piezomagnetic model of the giant magnetostrictive transducer is as follows:

ε为应变,sH为恒定磁场下的柔顺系数,d为压磁系数,μσ为恒定应力下的磁导率。ε is the strain, s H is the compliance coefficient under constant magnetic field, d is the piezomagnetic coefficient, and μ σ is the magnetic permeability under constant stress.

为考虑磁能损耗、磁-机耦合损耗和机械损耗带来的影响,引入复参数的表达形式如下:In order to consider the influence of magnetic energy loss, magnetic-mechanical coupling loss and mechanical loss, the expression of complex parameters is introduced as follows:

其中θ为恒定外磁场下,应力σ与应变ε的相位延迟;为外加磁场H与应变ε或应力σ与磁感应强度B的相位延迟;为恒应力下,磁感应强度B于外磁场H的相位延迟;Where θ is the phase delay between stress σ and strain ε under a constant external magnetic field; is the phase delay between the external magnetic field H and the strain ε or the stress σ and the magnetic induction intensity B; is the phase delay of magnetic induction intensity B to external magnetic field H under constant stress;

由于超磁致伸缩棒为柱状,属于四方对称的结构,柔顺矩阵包含6个独立变量,压磁矩阵和磁导率矩阵采用IEEE标准的z轴极化方向形式定义超磁致伸缩棒的全参数矩阵形式,如下:Since the giant magnetostrictive rod is a columnar structure with a tetragonal symmetry, the compliance matrix contains 6 independent variables. The piezomagnetic matrix and the permeability matrix use the z-axis polarization direction form of the IEEE standard to define the full parameter matrix form of the giant magnetostrictive rod, as follows:

其中变量关系遵循,s′66=(s′11+s′12)/2、s″66=(s″11+s″12)/2;其中:sij为柔顺系数矩阵的元素,dij压磁系数矩阵的元素,μij为磁导率矩阵的元素,′表示实部,″表示虚部。The variable relationship follows, s′ 66 =(s′ 11 +s′ 12 )/2, s″ 66 =(s″ 11 +s″ 12 )/2; where: s ij is the element of the compliance coefficient matrix, d ij is the element of the piezomagnetic coefficient matrix, μ ij is the element of the magnetic permeability matrix, ′ represents the real part, and ″ represents the imaginary part.

进一步的,所述S6中声-固耦合部分模型的频域表达式为:Furthermore, the frequency domain expression of the acoustic-solid coupling model in S6 is:

其中,ρ表示传声介质的密度,qv表示一个域的体积力,c表示声速,ω表示角频率,Qm表示引起压力变化的贡献源,pt为总声压,pb为背景声压,p为声压,下标c表示材料属性可为复数值。Where ρ is the density of the sound-transmitting medium, q v is the volume force in a domain, c is the speed of sound, ω is the angular frequency, Q m is the contributing source causing the pressure change, pt is the total sound pressure, p b is the background sound pressure, p is the sound pressure, and the subscript c indicates that the material property can be complex-valued.

声边界视为加速度的法向分量为零的边界条件,表达式如下:The acoustic boundary is regarded as a boundary condition where the normal component of the acceleration is zero, and the expression is as follows:

外场计算公式可计算域外任意距离的压力场,表达式如下:The external field calculation formula can calculate the pressure field at any distance outside the domain. The expression is as follows:

其中, in,

通过后处理计算可获得超磁致伸缩换能器的声源级,声源级的计算公式如下:The sound source level of the giant magnetostrictive transducer can be obtained through post-processing calculation. The calculation formula of the sound source level is as follows:

其中,有效声压p为1m处的外场声压,pref为基准声压,当pref=20×10-6Pa时,一般用在关于听觉测量或空气中的声级和噪声的测量;当pref=10-6Pa时,被广泛用于水声换能器的校准和液体中的声压级测量中。The effective sound pressure p is the external field sound pressure at 1m, pref is the reference sound pressure. When pref = 20× 10-6 Pa, it is generally used in auditory measurements or measurements of sound levels and noise in the air; when pref = 10-6 Pa, it is widely used in the calibration of underwater acoustic transducers and measurements of sound pressure levels in liquids.

与现有技术相比,本发明的优点在于:Compared with the prior art, the advantages of the present invention are:

本发明提出的考虑温度和损耗影响的超磁致伸缩换能器的电声特性分析方法,可以用于不同复杂结构的换能器系统建立有限元模型,该模型可考虑不同温度下和损耗影响下的换能器电声特性,有利于掌握电声换能器不同工况下的输出特性,可指导电声换能器优化设计和最佳工作性能的运行策略调控。The electroacoustic characteristics analysis method of the giant magnetostrictive transducer considering the influence of temperature and loss proposed in the present invention can be used to establish a finite element model for transducer systems of different complex structures. The model can consider the electroacoustic characteristics of the transducer under different temperatures and under the influence of losses, which is conducive to mastering the output characteristics of the electroacoustic transducer under different working conditions, and can guide the optimization design of the electroacoustic transducer and the regulation of the operating strategy for the best working performance.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1为本发明中超磁致伸缩换能器多物理场仿真建模整体流程图;FIG1 is an overall flow chart of multi-physics field simulation modeling of a giant magnetostrictive transducer in the present invention;

图2为本发明中超磁致伸缩换能器振子的温度分布示意图;FIG2 is a schematic diagram of the temperature distribution of the oscillator of the giant magnetostrictive transducer in the present invention;

图3为本发明中主要材料参数的函数拟合主要流程示意图;FIG3 is a schematic diagram of the main process of function fitting of main material parameters in the present invention;

图4为本发明中模拟不同温度下超磁致伸缩换能器的电阻曲线;FIG4 is a resistance curve of a giant magnetostrictive transducer simulated at different temperatures in the present invention;

图5为本发明中模拟不同温度下超磁致伸缩换能器的电抗曲线;FIG5 is a reactance curve of a giant magnetostrictive transducer simulated at different temperatures in the present invention;

图6为本发明中模拟不同温度下超磁致伸缩换能器的声源级曲线。FIG. 6 is a sound source level curve of the giant magnetostrictive transducer simulated at different temperatures in the present invention.

具体实施方式Detailed ways

为更进一步阐述本发明为达成预定目的所采用的技术手段及功效,以下结合附图及较佳实例,对依据本发明提出的考虑温度和损耗影响的超磁致伸缩换能器建模分析方法,详细说明如下:In order to further explain the technical means and effects adopted by the present invention to achieve the predetermined purpose, the modeling and analysis method of the giant magnetostrictive transducer considering the influence of temperature and loss proposed by the present invention is described in detail below in combination with the accompanying drawings and preferred examples:

步骤1:参数化建立超磁致伸缩换能器的三维模型,全局定义变量:半长轴a、半短轴b、外壳厚度e、外壳高度c、超磁致伸缩棒材半径r1高度h1等主要参数,忽略螺纹孔、多匝线圈和通孔等模型细节以提高仿真效率。Step 1: Parameterize and establish a three-dimensional model of the giant magnetostrictive transducer. Globally define variables: semi-major axis a, semi-minor axis b, shell thickness e, shell height c, giant magnetostrictive rod radius r1 height h1 and other main parameters. Ignore model details such as threaded holes, multi-turn coils and through holes to improve simulation efficiency.

根据超磁致伸缩换能器所需计算的物理场定义相应的材料属性和参数。The corresponding material properties and parameters are defined according to the physical fields required to be calculated for the giant magnetostrictive transducer.

电磁场计算的基本材料属性:相对磁导率、相对介电常数和电导率。Basic material properties for electromagnetic field calculations: relative permeability, relative permittivity, and electrical conductivity.

温度场计算的基本材料属性:导热系数、恒压热容和密度。Basic material properties for temperature field calculations: thermal conductivity, heat capacity at constant pressure, and density.

固体力学计算中的泊松比、杨氏模量以及超磁致伸缩材料磁致伸缩计算所需的全参数矩阵。Poisson's ratio and Young's modulus in solid mechanics calculations, as well as the full parameter matrix required for magnetostriction calculations of giant magnetostrictive materials.

声场计算需要的介质声速与声压。The medium sound velocity and sound pressure required for sound field calculation.

步骤2:建立超磁致伸缩换能器三维模型的电磁场计算模型,设置均匀多匝的驱动线圈提供激励磁场,确定匝数N和输入电流大小I,将两驱动线圈磁场定义为相反方向,振子与导磁硅钢磁轭得以形成连续的磁回路。建立超磁致伸缩棒的压磁效应模型,定义磁化方向。永磁体剩磁方向与线圈激励磁场同向,为超磁致伸缩棒提供偏置磁场。Step 2: Establish an electromagnetic field calculation model for the three-dimensional model of the giant magnetostrictive transducer, set a uniform multi-turn drive coil to provide an excitation magnetic field, determine the number of turns N and the input current I, define the magnetic fields of the two drive coils as opposite directions, and the vibrator and the magnetic silicon steel yoke form a continuous magnetic circuit. Establish a piezomagnetic effect model for the giant magnetostrictive rod and define the magnetization direction. The direction of the permanent magnet remanence is in the same direction as the coil excitation magnetic field, providing a bias magnetic field for the giant magnetostrictive rod.

步骤3:建立超磁致伸缩换能器三维模型的温度场计算模型,主要涉及超磁致伸缩换能器的电-磁-热多物理场耦合计算。基于步骤2计算的超磁致伸缩换能器所得的电磁损耗值,通过时域计算模拟超磁致伸缩换能器整体的瞬态温升情况,分析超磁致伸缩棒的轴向分布规律,获得超磁致伸缩棒的温升区间范围并保存结果。Step 3: Establish a temperature field calculation model for the three-dimensional model of the giant magnetostrictive transducer, which mainly involves the electric-magnetic-thermal multi-physics field coupling calculation of the giant magnetostrictive transducer. Based on the electromagnetic loss value of the giant magnetostrictive transducer calculated in step 2, simulate the transient temperature rise of the giant magnetostrictive transducer as a whole through time domain calculation, analyze the axial distribution law of the giant magnetostrictive rod, obtain the temperature rise range of the giant magnetostrictive rod and save the result.

步骤4:搭建超磁致伸缩材料的温度特性实验测试平台,获取超磁致伸缩材料温度相关的材料性能数据。基于函数拟合的方法获取材料参数的温度相关变化规律,通过最小化误差和函数求解得到最佳拟合系数组合[as0,as1,as2;ad0,ad1,ad2;aμ0,aμ1,aμ2],将得到的拟合函数通过参数的反向优化分离实部和虚部。Step 4: Build a temperature characteristic test platform for giant magnetostrictive materials to obtain temperature-related material performance data of giant magnetostrictive materials. Based on the function fitting method, the temperature-related variation law of material parameters is obtained, and the error and function are minimized. The best fitting coefficient combination [a s0 , a s1 , a s2 ; a d0 , a d1 , a d2 ; a μ0 , a μ1 , a μ2 ] is obtained, and the real part and the imaginary part of the obtained fitting function are separated by reverse optimization of parameters.

步骤5:建立超磁致伸缩换能器三维模型的电磁-机械多物理场耦合计算模型,主要涉及超磁致伸缩换能器的电-磁-机的多场计算。首先基于步骤2的超磁致伸缩换能器电磁模型,基于压磁方程建立超磁致伸缩棒的磁致伸缩模型。定义超磁致伸缩棒的磁化振动方向,按照磁化方向定义柔顺系数矩阵[s]、压磁系数矩阵[d]和磁导率矩阵[μ]形式,将超磁致伸缩材料温度相关的复数域函数代入计算。Step 5: Establish the electromagnetic-mechanical multi-physics field coupling calculation model of the giant magnetostrictive transducer three-dimensional model, which mainly involves the electromagnetic-magnetic-mechanical multi-field calculation of the giant magnetostrictive transducer. First, based on the electromagnetic model of the giant magnetostrictive transducer in step 2, the magnetostrictive model of the giant magnetostrictive rod is established based on the piezomagnetic equation. Define the magnetization vibration direction of the giant magnetostrictive rod, define the compliance coefficient matrix [s], piezomagnetic coefficient matrix [d] and magnetic permeability matrix [μ] according to the magnetization direction, and substitute the complex domain function related to the temperature of the giant magnetostrictive material into the calculation.

步骤6:通过声-固耦合结合步骤5的电磁-机械多物理场耦合计算模型,建立超磁致伸缩换能器的电声特性仿真模型,定义外场声压的计算变量,设置无限远的边界条件作为声的吸收边界,增强模型迭代的收敛性和准确性。Step 6: By combining the acoustic-solid coupling with the electromagnetic-mechanical multi-physics field coupling calculation model of step 5, a simulation model of the electroacoustic characteristics of the giant magnetostrictive transducer is established, the calculation variables of the external field sound pressure are defined, and the infinite boundary condition is set as the sound absorption boundary to enhance the convergence and accuracy of the model iteration.

步骤7:基于步骤3的温度场计算结果的分析,根据超磁致伸缩棒的温升范围以及轴向温度的空间分布,选择需要模拟的温度区间,模拟不同温度点下的超磁致伸缩换能器频域响应,保存中间变量的计算结果。Step 7: Based on the analysis of the temperature field calculation results in step 3, select the temperature range to be simulated according to the temperature rise range of the giant magnetostrictive rod and the spatial distribution of the axial temperature, simulate the frequency domain response of the giant magnetostrictive transducer at different temperature points, and save the calculation results of the intermediate variables.

步骤8:通过交流阻抗和外场声压计算不同温度下的阻抗和声源级,绘制响应曲线。Step 8: Calculate the impedance and sound source level at different temperatures through AC impedance and external field sound pressure, and draw the response curve.

步骤2中,电磁场计算模型的表达式为:In step 2, the expression of the electromagnetic field calculation model is:

闭合路径的磁场H的线积分等于穿过该回路所包围面积的电流代数和:∮H·dl=∑Ik,简化后,线圈的磁场遵循表达式:Hl=NI。The line integral of the magnetic field H of the closed path is equal to the algebraic sum of the currents passing through the area enclosed by the loop: ∮H·dl=∑I k . After simplification, the magnetic field of the coil follows the expression: Hl=NI.

超磁致伸缩换能器的磁场分布情况满足麦克斯韦方程组:The magnetic field distribution of the giant magnetostrictive transducer satisfies Maxwell's equations:

其中J、D、B满足以下方程:J=σE、D=εE和B=μH=μ0μrH。Wherein J, D, and B satisfy the following equations: J=σE, D=εE, and B=μH=μ 0 μ r H.

步骤3中,超磁致伸缩换能器的电磁热的温度场计算的控制方程如下:In step 3, the control equation for calculating the temperature field of the electromagnetic heat of the giant magnetostrictive transducer is as follows:

非稳态且含热源的导热微分方程满足以下关系:The unsteady heat conduction differential equation with heat source satisfies the following relationship:

Qe为电磁损耗,由阻性损耗Qr和磁能损耗Qm组成。 Qe is the electromagnetic loss, which consists of resistive loss Qr and magnetic energy loss Qm .

步骤4中,主要材料参数的温度相关函数拟合方法原理如下:In step 4, the principle of the temperature-dependent function fitting method of the main material parameters is as follows:

超磁致伸缩材料主要参数的温度特性实验数据有n组,作为拟合的样本点如下There are n sets of experimental data on the temperature characteristics of the main parameters of giant magnetostrictive materials, and the sample points used for fitting are as follows

{(T1,s1,d1,μ1),(T2,s2,d2,μ2)…(Tn,sn,dn,μn)]{(T 1 , s 1 , d 1 , μ 1 ), (T 2 , s 2 , d 2 , μ 2 ) ... (T n , s n , d n , μ n )]

可以观察到材料参数矩阵[s]、[d]和[μ]中,各个元素的样本点分布规律大致符合二次多项式It can be observed that the distribution of sample points of each element in the material parameter matrices [s], [d], and [μ] roughly conforms to the quadratic polynomial

采用误差平方和作为目标函数The error sum of squares is used as the objective function

求∈的最小值获得最佳拟合系数a0、a1和a2,通过参数反向优化获得超磁致伸缩材料的复数域温度相关函数如下。The minimum value of ∈ is obtained to obtain the best fitting coefficients a 0 , a 1 and a 2 , and the complex domain temperature correlation function of the giant magnetostrictive material is obtained by parameter inverse optimization as follows.

步骤5中,超磁致伸缩棒的磁致伸缩模型的控制方程如下:In step 5, the governing equation of the magnetostrictive model of the giant magnetostrictive rod is as follows:

其中,超磁致伸缩换能器的压磁模型实数域线性表达形式如下:Among them, the real-domain linear expression of the piezomagnetic model of the giant magnetostrictive transducer is as follows:

为考虑磁能损耗、磁-机耦合损耗和机械损耗带来的影响,引入复参数的表达形式如下:In order to consider the influence of magnetic energy loss, magnetic-mechanical coupling loss and mechanical loss, the expression of complex parameters is introduced as follows:

其中θ为恒定外磁场下,应力σ与应变ε的相位延迟;为外加磁场H与应变ε或应力σ与磁感应强度B的相位延迟;为恒应力下,磁感应强度B于外磁场H的相位延迟。Where θ is the phase delay between stress σ and strain ε under a constant external magnetic field; is the phase delay between the external magnetic field H and the strain ε or the stress σ and the magnetic induction intensity B; is the phase delay of magnetic induction intensity B to external magnetic field H under constant stress.

由于超磁致伸缩棒为柱状,属于四方对称的结构,柔顺矩阵包含6个独立变量,压磁矩阵和磁导率矩阵采用IEEE标准的z轴极化方向形式定义超磁致伸缩棒的全参数矩阵形式,如下:Since the giant magnetostrictive rod is a columnar structure with a tetragonal symmetry, the compliance matrix contains 6 independent variables. The piezomagnetic matrix and the permeability matrix use the z-axis polarization direction form of the IEEE standard to define the full parameter matrix form of the giant magnetostrictive rod, as follows:

其中变量关系遵循:s′66=(s′11+s′12)/2、s″66=(s″11+s″12)/2。The relationship between the variables follows: s′ 66 =(s′ 11 +s′ 12 )/2, s″ 66 =(s″ 11 +s″ 12 )/2.

声-固耦合部分模型的频域的控制方程为:The governing equation in the frequency domain of the acoustic-solid coupling model is:

其中,ρ表示传声介质的密度,qv表示一个域的体积力,c表示声速,ω表示角频率,Qm表示引起压力变化的贡献源,pt为总声压,pb为背景声压,p为声压,下标c表示材料属性可为复数值。Where ρ is the density of the sound-transmitting medium, q v is the volume force in a domain, c is the speed of sound, ω is the angular frequency, Q m is the contributing source causing the pressure change, pt is the total sound pressure, p b is the background sound pressure, p is the sound pressure, and the subscript c indicates that the material property can be complex-valued.

声边界视为加速度的法向分量为零的边界条件,表达式如下:The acoustic boundary is regarded as a boundary condition where the normal component of the acceleration is zero, and the expression is as follows:

外场计算公式可计算域外任意距离的压力场,表达式如下:The external field calculation formula can calculate the pressure field at any distance outside the domain. The expression is as follows:

其中, in,

通过以下公式进行后处理计算可获得超磁致伸缩换能器的声源级,声源级的计算公式如下:The sound source level of the giant magnetostrictive transducer can be obtained by post-processing calculation using the following formula. The calculation formula for the sound source level is as follows:

其中,pref为基准声压,当pref=20×10-6Pa时,一般用在关于听觉测量或空气中的声级和噪声的测量;当Pref=10-6Pa时,被广泛用于水声换能器的校准和液体中的声压级测量中。in, pref is the reference sound pressure. When pref = 20×10 -6 Pa, it is generally used in auditory measurements or measurements of sound levels and noise in the air. When Pref = 10 -6 Pa, it is widely used in the calibration of underwater acoustic transducers and the measurement of sound pressure levels in liquids.

以上所述,仅是本发明的较佳实施例而已,并非对本发明做任何形式上的限制,任何熟悉本专业的技术人员,在不脱离本发明技术方案范围内,依据本发明的技术实质对以上实施例所做的任何简单修改、等同变化与修饰,均仍属于本发明技术方案的范围内。The above description is only a preferred embodiment of the present invention and does not limit the present invention in any form. Any technician familiar with the profession, without departing from the scope of the technical solution of the present invention, makes any simple modifications, equivalent changes and modifications to the above embodiments based on the technical essence of the present invention, which still fall within the scope of the technical solution of the present invention.

Claims (6)

1.一种考虑温度和损耗影响的超磁致伸缩换能器建模分析方法,其特征在于:包括以下步骤:1. A modeling and analysis method for a giant magnetostrictive transducer considering the influence of temperature and loss, characterized in that it comprises the following steps: S1.建立参数化的超磁致伸缩换能器三维结构并简化细节,确认超磁致伸缩换能器几何尺寸参数,定义全局变量:半长轴a、半短轴b、外壳厚度e、外壳高度c、超磁致伸缩棒材半径r1高度h1;S1. Establish a parameterized three-dimensional structure of the giant magnetostrictive transducer and simplify the details, confirm the geometric size parameters of the giant magnetostrictive transducer, and define global variables: semi-major axis a, semi-minor axis b, shell thickness e, shell height c, giant magnetostrictive rod radius r1 height h1; S2.根据简化后的超磁致伸缩换能器三维结构建立电磁场计算模型;S2. Establish an electromagnetic field calculation model based on the simplified three-dimensional structure of the giant magnetostrictive transducer; 其中:将驱动线圈视为均匀多匝,确定匝数N和输入电流I,并将两驱动线圈电流定义为相反方向,通过导磁硅钢磁轭以形成连续的磁回路;Wherein: the driving coil is regarded as a uniform multi-turn, the number of turns N and the input current I are determined, and the currents of the two driving coils are defined as being in opposite directions, and a continuous magnetic circuit is formed through the magnetic silicon steel yoke; 同时,采用棒材-永磁体-棒材分段式的振子结构,建立超磁致伸缩棒的压磁效应模型,定义磁化的主轴方向;At the same time, a sectional vibrator structure of rod-permanent magnet-rod is adopted to establish the piezomagnetic effect model of the giant magnetostrictive rod and define the main axis direction of magnetization. 其中:永磁体剩磁方向与线圈激励磁场同向,作为超磁致伸缩棒偏置磁场的激励源;Among them: the direction of the permanent magnet remanence is the same as the coil excitation magnetic field, which serves as the excitation source of the giant magnetostrictive rod bias magnetic field; S3.根据简化后的超磁致伸缩换能器三维结构建立温度场计算模型,基于损耗结果模拟超磁致伸缩换能器整体的瞬态温升情况,分析超磁致伸缩棒的轴向分布规律,获得超磁致伸缩换能器温升区间范围以及轴向温度的空间分布;S3. Establish a temperature field calculation model based on the simplified three-dimensional structure of the giant magnetostrictive transducer, simulate the transient temperature rise of the giant magnetostrictive transducer as a whole based on the loss results, analyze the axial distribution of the giant magnetostrictive rod, and obtain the temperature rise range of the giant magnetostrictive transducer and the spatial distribution of the axial temperature; 其中:涉及超磁致伸缩换能器的电-磁-热多物理场的计算,计算超磁致伸缩换能器的主要损耗,包括线圈的交流损耗、超磁致伸缩棒的涡流损耗和磁滞损耗;Among them: the calculation of the electric-magnetic-thermal multi-physics field of the giant magnetostrictive transducer is involved, and the main losses of the giant magnetostrictive transducer are calculated, including the AC loss of the coil, the eddy current loss and hysteresis loss of the giant magnetostrictive rod; S4.搭建超磁致伸缩材料的温度特性实验测试平台,得到基于超磁致伸缩材料温度特性的实验测试结果,通过多项式拟合方法,对影响输出特性的主要材料参数进行拟合,最小化误差和函数 获得超磁致伸缩材料温度相关的复函数,并通过参数反演获得表征损耗的虚部部分;S4. Build a temperature characteristics experimental test platform for giant magnetostrictive materials, obtain experimental test results based on the temperature characteristics of giant magnetostrictive materials, and fit the main material parameters that affect the output characteristics through polynomial fitting methods to minimize errors and functions. The temperature-dependent complex function of the giant magnetostrictive material is obtained, and the imaginary part representing the loss is obtained by parameter inversion; S5.基于S2中建立的电磁场计算模型构建超磁致伸缩棒的磁致伸缩模型,将S4中获得的超磁致伸缩材料温度相关的复数域函数作为磁致伸缩模型的矩阵参数,通过线性压磁方程迭代计算获得超磁致伸缩棒的磁-机输出特性,将机械输出作为声-固耦合计算的初始条件;S5. Based on the electromagnetic field calculation model established in S2, a magnetostrictive model of the giant magnetostrictive rod is constructed, the temperature-related complex domain function of the giant magnetostrictive material obtained in S4 is used as the matrix parameter of the magnetostrictive model, the magnetic-mechanical output characteristics of the giant magnetostrictive rod are obtained by iterative calculation of the linear piezomagnetic equation, and the mechanical output is used as the initial condition for the acoustic-solid coupling calculation; S6.根据S5中建立的超磁致伸缩换能器三维模型的电磁-机械多物理场耦合计算模型,结合声-固耦合建立超磁致伸缩换能器三维模型的电声特性仿真模型,定义外场声压的计算变量,设置声场计算的介质域,并添加完美匹配层(PML)作为无限远域,将无限远的边界条件作为声的吸收边界,增强模型迭代的收敛性和准确性;S6. According to the electromagnetic-mechanical multi-physics field coupling calculation model of the three-dimensional model of the giant magnetostrictive transducer established in S5, the electroacoustic characteristic simulation model of the three-dimensional model of the giant magnetostrictive transducer is established in combination with the acoustic-solid coupling, the calculation variables of the external field sound pressure are defined, the medium domain of the sound field calculation is set, and the perfect matching layer (PML) is added as the infinite domain, and the infinite boundary condition is used as the sound absorption boundary to enhance the convergence and accuracy of the model iteration; S7.基于S3获得超磁致伸缩换能器温升区间范围以及轴向温度的空间分布,选择需要模拟的温度区间,通过S6建立的电声特性仿真模型模拟不同温度点下的超磁致伸缩换能器频域响应,保存外场声压的计算结果,并根据计算结果处理计算声源级;S7. Based on the temperature rise range of the giant magnetostrictive transducer and the spatial distribution of the axial temperature obtained in S3, the temperature range to be simulated is selected, the frequency domain response of the giant magnetostrictive transducer at different temperature points is simulated through the electroacoustic characteristic simulation model established in S6, the calculation results of the external field sound pressure are saved, and the sound source level is calculated according to the calculation results; S8.通过交流阻抗和外场声压计算不同温度下的阻抗和声源级,得到相应曲线。S8. Calculate the impedance and sound source level at different temperatures through AC impedance and external field sound pressure to obtain the corresponding curve. 2.如权利要求1所述的考虑温度和损耗影响的超磁致伸缩换能器建模分析方法,其特征在于:所述S2中电磁场计算模型的表达式为闭合路径的磁场H的线积分等于穿过该回路所包围面积的电流代数和:2. The giant magnetostrictive transducer modeling and analysis method considering the influence of temperature and loss as claimed in claim 1, characterized in that: the expression of the electromagnetic field calculation model in S2 is that the line integral of the magnetic field H of the closed path is equal to the algebraic sum of the currents passing through the area enclosed by the loop: 简化后,线圈产生的激励磁场遵循表达式如下:After simplification, the excitation magnetic field generated by the coil follows the expression: Hl=NIHl=NI 其中:H为线圈提供的磁场强度,I为线圈电流大小,N为线圈总匝数,l为线圈的轴向长度;Where: H is the magnetic field strength provided by the coil, I is the coil current, N is the total number of turns of the coil, and l is the axial length of the coil; 超磁致伸缩棒的磁场分布情况满足麦克斯韦方程组:The magnetic field distribution of the giant magnetostrictive rod satisfies Maxwell's equations: 其中J、D、B满足以下方程:Where J, D, and B satisfy the following equation: J=σE;J = σE; D=εE;D = εE; B=μH=μ0μrHB=μH=μ 0 μ r H 其中:J为超磁致伸缩棒的电流密度,D为电位移,E为电场强度,B为超磁致伸缩棒的磁感应强度,μ0为真空磁导率,μr为相对磁导率。Where: J is the current density of the giant magnetostrictive rod, D is the electric displacement, E is the electric field strength, B is the magnetic induction intensity of the giant magnetostrictive rod, μ0 is the vacuum magnetic permeability, and μr is the relative magnetic permeability. 3.如权利要求1所述的一种考虑温度和损耗影响的超磁致伸缩换能器建模分析方法,其特征在于:所述S3中,建立的温度场计算模型如下:3. A giant magnetostrictive transducer modeling and analysis method considering the influence of temperature and loss as claimed in claim 1, characterized in that: in said S3, the temperature field calculation model established is as follows: 其中:Qe为电磁损耗,由阻性损耗和磁性损耗组成。E*为电场强度的共轭复数,H*为外磁场的共轭复数,ω为角频率。Where: Qe is the electromagnetic loss, which is composed of resistive loss and magnetic losses E * is the conjugate complex number of the electric field intensity, H * is the conjugate complex number of the external magnetic field, and ω is the angular frequency. 4.如权利要求1所述的一种考虑温度和损耗影响的超磁致伸缩换能器建模分析方法,其特征在于:所述S4中获得材料的温度相关函数的方法原理如下:4. A giant magnetostrictive transducer modeling and analysis method considering the influence of temperature and loss as claimed in claim 1, characterized in that: the method principle of obtaining the temperature correlation function of the material in S4 is as follows: 超磁致伸缩材料主要参数的温度特性实验数据有n组,作为拟合的样本点如下:There are n groups of experimental data on the temperature characteristics of the main parameters of giant magnetostrictive materials, and the sample points used for fitting are as follows: {(T1,s1,d11),)T2,s2,d22)…(Tn,sn,dnn)}{(T 1 ,s 1 ,d 11 ),)T 2 ,s 2 ,d 22 )…(T n ,s n ,d nn )} 可以观察到参数矩阵[s]、[d]和[μ]中,各个元素的样本点分布规律大致符合二次多项式:It can be observed that the sample point distribution of each element in the parameter matrices [s], [d], and [μ] roughly conforms to the quadratic polynomial: 采用误差平方和作为目标函数:The sum of squared errors is used as the objective function: 求∈的最小值获得最佳拟合系数a0、a1和a2,通过参数反向优化获得超磁致伸缩材料的复数域温度相关函数如下:The minimum value of ∈ is obtained to obtain the best fitting coefficients a 0 , a 1 and a 2 . The complex domain temperature correlation function of the giant magnetostrictive material is obtained by parameter inverse optimization as follows: 其中:as0为柔顺系数的常数项拟合系数,as1为柔顺系数的一次项拟合系数,as2为柔顺系数的二次项拟合系数,ad0为压磁系数的常数项拟合系数,ad1为压磁系数的一次项拟合系数,ad2为压磁系数的二次项拟合系数,aμ0为磁导率的常数项拟合系数,aμ1为磁导率的一次项拟合系数,aμ2为磁导率的二次项拟合系数。Wherein: a s0 is the constant term fitting coefficient of the compliance coefficient, a s1 is the linear term fitting coefficient of the compliance coefficient, a s2 is the quadratic term fitting coefficient of the compliance coefficient, a d0 is the constant term fitting coefficient of the piezomagnetic coefficient, a d1 is the linear term fitting coefficient of the piezomagnetic coefficient, a d2 is the quadratic term fitting coefficient of the piezomagnetic coefficient, a μ0 is the constant term fitting coefficient of the magnetic permeability, a μ1 is the linear term fitting coefficient of the magnetic permeability, and a μ2 is the quadratic term fitting coefficient of the magnetic permeability. 5.如权利要求1所述的一种考虑温度和损耗影响的超磁致伸缩换能器建模分析方法,其特征在于:所述S5中超磁致伸缩棒的磁致伸缩模型的控制方程如下:5. A method for modeling and analyzing a giant magnetostrictive transducer considering the influence of temperature and loss as claimed in claim 1, characterized in that: the control equation of the magnetostrictive model of the giant magnetostrictive rod in S5 is as follows: 其中,超磁致伸缩换能器的压磁模型实数域线性表达形式如下:Among them, the real-domain linear expression of the piezomagnetic model of the giant magnetostrictive transducer is as follows: ε为应变,sH为恒定磁场下的柔顺系数,d为压磁系数,μσ为恒定应力下的磁导率。ε is the strain, s H is the compliance coefficient under constant magnetic field, d is the piezomagnetic coefficient, and μ σ is the magnetic permeability under constant stress. 为考虑磁能损耗、磁-机耦合损耗和机械损耗带来的影响,引入复参数的表达形式如下:In order to consider the influence of magnetic energy loss, magnetic-mechanical coupling loss and mechanical loss, the expression of complex parameters is introduced as follows: 其中θ为恒定外磁场下,应力σ与应变ε的相位延迟;为外加磁场H与应变ε或应力σ与磁感应强度B的相位延迟;为恒应力下,磁感应强度B于外磁场H的相位延迟;Where θ is the phase delay between stress σ and strain ε under a constant external magnetic field; is the phase delay between the external magnetic field H and the strain ε or the stress σ and the magnetic induction intensity B; is the phase delay of magnetic induction intensity B to external magnetic field H under constant stress; 由于超磁致伸缩棒为柱状,属于四方对称的结构,柔顺矩阵包含6个独立变量,压磁系数和磁导率矩阵均采用IEEE标准的z轴极化方向形式定义超磁致伸缩棒的全参数矩阵形式,如下:Since the giant magnetostrictive rod is a columnar structure with a tetragonal symmetry, the compliance matrix contains 6 independent variables. The piezomagnetic coefficient and permeability matrix both use the IEEE standard z-axis polarization direction to define the full parameter matrix form of the giant magnetostrictive rod, as follows: 其中变量关系遵循,s'66=(s'11+s'12)/2、s″66=(s″11+s″12)/2;The variable relationship follows, s' 66 =(s' 11 +s' 12 )/2, s″ 66 =(s″ 11 +s″ 12 )/2; 其中:sij为柔顺系数矩阵的元素,dij压磁系数矩阵的元素,μij为磁导率矩阵的元素,'表示实部,"表示虚部。Where: s ij is the element of the compliance coefficient matrix, d ij is the element of the piezomagnetic coefficient matrix, μ ij is the element of the magnetic permeability matrix, ' represents the real part, and " represents the imaginary part. 6.如权利要求1所述的一种考虑温度和损耗影响的超磁致伸缩换能器建模分析方法,其特征在于:所述S6中声-固耦合部分模型的频域表达式为:6. A giant magnetostrictive transducer modeling and analysis method considering the influence of temperature and loss as claimed in claim 1, characterized in that: the frequency domain expression of the acoustic-solid coupling part model in S6 is: 其中,ρ表示传声介质的密度,qv表示一个域的体积力,c表示声速,ω表示角频率,Qm表示引起压力变化的贡献源,pt为总声压,pb为背景声压,p为声压,下标c表示材料属性可为复数值。Where ρ is the density of the sound-transmitting medium, q v is the volume force in a domain, c is the speed of sound, ω is the angular frequency, Q m is the contributing source causing the pressure change, pt is the total sound pressure, p b is the background sound pressure, p is the sound pressure, and the subscript c indicates that the material property can be complex-valued. 声边界视为加速度的法向分量为零的边界条件,表达式如下:The acoustic boundary is regarded as a boundary condition where the normal component of the acceleration is zero, and the expression is as follows: 外场计算公式可计算域外任意距离的压力场,表达式如下:The external field calculation formula can calculate the pressure field at any distance outside the domain. The expression is as follows: 其中, in, 通过后处理计算可获得超磁致伸缩换能器的声源级,声源级的计算公式如下:The sound source level of the giant magnetostrictive transducer can be obtained through post-processing calculation. The calculation formula of the sound source level is as follows: 其中,有效声压p为1m处的外场声压,pref为基准声压,当pref=20×10-6Pa时,一般用在关于听觉测量或空气中的声级和噪声的测量;当pref=10-6Pa时,被广泛用于水声换能器的校准和液体中的声压级测量中。The effective sound pressure p is the external field sound pressure at 1m, pref is the reference sound pressure. When pref = 20× 10-6 Pa, it is generally used in auditory measurements or measurements of sound levels and noise in the air; when pref = 10-6 Pa, it is widely used in the calibration of underwater acoustic transducers and measurements of sound pressure levels in liquids.
CN202410325058.7A 2024-03-21 2024-03-21 Giant magnetostrictive transducer modeling analysis method considering temperature and loss influence Active CN118332847B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202410325058.7A CN118332847B (en) 2024-03-21 2024-03-21 Giant magnetostrictive transducer modeling analysis method considering temperature and loss influence

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202410325058.7A CN118332847B (en) 2024-03-21 2024-03-21 Giant magnetostrictive transducer modeling analysis method considering temperature and loss influence

Publications (2)

Publication Number Publication Date
CN118332847A true CN118332847A (en) 2024-07-12
CN118332847B CN118332847B (en) 2025-05-16

Family

ID=91767149

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202410325058.7A Active CN118332847B (en) 2024-03-21 2024-03-21 Giant magnetostrictive transducer modeling analysis method considering temperature and loss influence

Country Status (1)

Country Link
CN (1) CN118332847B (en)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN118607447A (en) * 2024-08-08 2024-09-06 湖南大学 A nonlinear equivalent circuit modeling method for giant magnetostrictive transducer
CN119247229A (en) * 2024-10-15 2025-01-03 湖南大学 A giant magnetostrictive flextensional transducer energy conversion efficiency testing system and method
CN119558254A (en) * 2025-01-24 2025-03-04 上海交通大学 Electromagnetic thermal field circuit coupling simulation method and system for non-insulated superconducting magnets

Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20050274820A1 (en) * 2004-06-14 2005-12-15 Bright Charles B Very high speed rate shaping fuel injector
WO2019223368A1 (en) * 2018-05-22 2019-11-28 深圳供电局有限公司 Simulation model establishment method for high-temperature superconducting corc
CN114896942A (en) * 2022-04-25 2022-08-12 浙江水利水电学院 Thin film bulk acoustic resonator modeling method considering temperature effect
CN116822350A (en) * 2023-06-20 2023-09-29 湖南大学 Method and system for identifying electromagnetic-mechanical coupling parameters of giant magnetostrictive transducer
CN117676443A (en) * 2023-12-07 2024-03-08 湖南大学 Transient response obtaining method of underwater giant magnetostrictive electroacoustic transducer
CN117709163A (en) * 2023-12-20 2024-03-15 湖南大学 Method and system for analyzing nonlinear time domain characteristics of giant magnetostrictive transducer
CN117709162A (en) * 2023-12-20 2024-03-15 湖南大学 Transducer dynamic characteristic rapid analysis optimization method and system based on deep learning

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20050274820A1 (en) * 2004-06-14 2005-12-15 Bright Charles B Very high speed rate shaping fuel injector
WO2019223368A1 (en) * 2018-05-22 2019-11-28 深圳供电局有限公司 Simulation model establishment method for high-temperature superconducting corc
CN114896942A (en) * 2022-04-25 2022-08-12 浙江水利水电学院 Thin film bulk acoustic resonator modeling method considering temperature effect
CN116822350A (en) * 2023-06-20 2023-09-29 湖南大学 Method and system for identifying electromagnetic-mechanical coupling parameters of giant magnetostrictive transducer
CN117676443A (en) * 2023-12-07 2024-03-08 湖南大学 Transient response obtaining method of underwater giant magnetostrictive electroacoustic transducer
CN117709163A (en) * 2023-12-20 2024-03-15 湖南大学 Method and system for analyzing nonlinear time domain characteristics of giant magnetostrictive transducer
CN117709162A (en) * 2023-12-20 2024-03-15 湖南大学 Transducer dynamic characteristic rapid analysis optimization method and system based on deep learning

Non-Patent Citations (4)

* Cited by examiner, † Cited by third party
Title
NENGTONG ZHAO 等: "Design of underwater magnetostrictive longitudinal-type transducers with circuit model considering eddy currents and multi-rod structure", APPLIED ACOUSTICS, 7 December 2022 (2022-12-07) *
赵章荣;邬义杰;顾新建;徐君;葛荣杰;: "超磁致伸缩执行器的三维非线性动态有限元模型", 浙江大学学报(工学版), no. 02, 15 February 2008 (2008-02-15) *
黄博浩 等: "考虑永磁体偏置的超磁致伸缩换能器磁能损耗分析", 中国电机工程学报, vol. 44, no. 13, 5 July 2021 (2021-07-05), pages 5409 - 5419 *
黄文美;薛胤龙;王莉;翁玲;王博文;: "考虑动态损耗的超磁致伸缩换能器的多场耦合模型", 电工技术学报, no. 07, 10 April 2016 (2016-04-10) *

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN118607447A (en) * 2024-08-08 2024-09-06 湖南大学 A nonlinear equivalent circuit modeling method for giant magnetostrictive transducer
CN119247229A (en) * 2024-10-15 2025-01-03 湖南大学 A giant magnetostrictive flextensional transducer energy conversion efficiency testing system and method
CN119558254A (en) * 2025-01-24 2025-03-04 上海交通大学 Electromagnetic thermal field circuit coupling simulation method and system for non-insulated superconducting magnets
CN119558254B (en) * 2025-01-24 2025-05-27 上海交通大学 Electromagnetic thermal field path coupling simulation method and system for non-insulated superconducting magnet

Also Published As

Publication number Publication date
CN118332847B (en) 2025-05-16

Similar Documents

Publication Publication Date Title
CN118332847B (en) Giant magnetostrictive transducer modeling analysis method considering temperature and loss influence
Rupitsch Piezoelectric sensors and actuators
JP5556882B2 (en) Magnetic body simulation method and program
Shan et al. A new energy harvester using a piezoelectric and suspension electromagnetic mechanism
CN111324944A (en) A COMSOL-based Calculation Method of Iron Core Vibration Characteristics
Palumbo et al. Experimental investigation on a Fe-Ga close yoke vibrational harvester by matching magnetic and mechanical biases
CN117676443A (en) Transient response obtaining method of underwater giant magnetostrictive electroacoustic transducer
Wang et al. Research on the effect of core joints on transformer noise
Bjurström et al. Tunable spring balanced magnetic energy harvester for low frequencies and small displacements
Chen et al. Multi-DOF lumped-parameter modeling of high-power giant magnetostrictive transducer coupled with spatial distribution of magnetic field
Nielsen et al. Estimation of optimal values for lumped elements in a finite element—lumped parameter model of a loudspeaker
Cao et al. Modeling dynamic hysteresis for giant magnetostrictive actuator using hybrid genetic algorithm
Wei et al. Modeling of high-power Tonpilz Terfenol-D transducer using complex material parameters
Chang et al. Novel Wiegand-effect based energy harvesting device for linear magnetic positioning system
TWI480522B (en) Method for measuring electroacoustic parameters of transducer
Hilgert et al. Neural-network-based model for dynamic hysteresis in the magnetostriction of electrical steel under sinusoidal induction
Zhang et al. Structural optimization design of MEMS piezoelectric hydrophones based on intelligent learning algorithm
Zhao et al. Time-varying magnetic-thermal-mechanical coupling model of giant magnetostrictive transducer under non-uniform magnetic field
Sawant et al. Modeling of electrodynamic zero-net mass-flux actuators
Wang et al. Influence and optimization design of structure parameters on a giant magnetostrictive transducer
Taranenko et al. Multifunctional vibration-frequency measuring transducer of force with cylindrical resonator
Lan et al. A lumped parameter model of the longitudinal NiMnGa transducer based on piezomagnetic equations
Gao et al. Design of broadband dish-shaped transducer with giant magnetostrictive material
Huang et al. Modeling of output characteristics of giant magnetostrictive transducer considering temperature and eddy currents
Liu et al. Structural Optimization of a Giant Magnetostrictive Actuator Based on BP-NSGA-II Algorithm

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant