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CN102240911A - Incompletely-symmetrical four-freedom-degree space in-parallel mechanism with two-dimensional rotation and two-dimensional movement - Google Patents

Incompletely-symmetrical four-freedom-degree space in-parallel mechanism with two-dimensional rotation and two-dimensional movement Download PDF

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CN102240911A
CN102240911A CN2011101611028A CN201110161102A CN102240911A CN 102240911 A CN102240911 A CN 102240911A CN 2011101611028 A CN2011101611028 A CN 2011101611028A CN 201110161102 A CN201110161102 A CN 201110161102A CN 102240911 A CN102240911 A CN 102240911A
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branch
axis
moving platform
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李永刚
张二江
阎兵
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Tianjin University of Technology
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Abstract

一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,包括定平台和动平台。定平台和动平台之间连接四条支路,第一条支路和第三条支路的连接组合方式相同,各杆件之间依次通过第一转动副、第二转动副和球铰链将定平台与动平台连接起来;第二条支路和第四条支路的连接组合方式相同,各杆件之间依次通过第一转动副、万向铰和球铰链将定平台与动平台连接起来;动平台底部装有可驱动动平台垂直旋转的可装卸的电机。本发的优点是:1、结构简单紧凑,便于制造及安装。2、构件种类少、装配简单且驱动装置简单且易于控制。3、整体转动惯量小,动态运动特性好。4、可使动平台具有两维移动和两维转动的输出。

Figure 201110161102

A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement, including a fixed platform and a moving platform. Four branches are connected between the fixed platform and the moving platform. The connection and combination of the first branch and the third branch are the same. The platform is connected to the moving platform; the connection and combination of the second branch and the fourth branch are the same, and the fixed platform and the moving platform are connected by the first rotating pair, the universal joint and the ball joint between the rods in turn. ; The bottom of the moving platform is equipped with a detachable motor that can drive the moving platform to rotate vertically. The advantages of the present invention are: 1. The structure is simple and compact, which is convenient for manufacture and installation. 2. There are few types of components, simple assembly, and the driving device is simple and easy to control. 3. The overall moment of inertia is small, and the dynamic motion characteristics are good. 4. The movable platform can have the output of two-dimensional movement and two-dimensional rotation.

Figure 201110161102

Description

具有两维转动和两维移动的非完全对称的四自由度空间并联机构A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement

技术领域: Technical field:

本发明属于并联机构学领域,尤其是涉及一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构。The invention belongs to the field of parallel mechanisms, in particular to a non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement.

背景技术: Background technique:

随着并联机构学的兴起,并联机构在数控机床、机器人、医科手术等领域的应用范围越来越广,主要原因是并联机构具有刚度高、承载能力强、动态性能好、误差累积小、结构紧凑等优点。目前,应用最广泛的并联机构的自由度为三自由度或六自由度,研究并应用四自由度的并联机构很少,且公开发表的四自由度并联机构大多数实现的是三维平动和一维转动,实现两维转动和两维移动的四自由度并联机构非常少。驱动装置大多数采用的是各支链中的移动副,增加了传动转换装置,降低了整体机构的刚度,并且驱动电机安装在各支链上,增加了整体机构的转动惯量。With the rise of parallel mechanism science, the application range of parallel mechanism in the fields of CNC machine tools, robots, and medical surgery is becoming wider and wider. The main reason is that the parallel mechanism has high advantages such as compactness. At present, the degrees of freedom of the most widely used parallel mechanisms are three degrees of freedom or six degrees of freedom. There are few parallel mechanisms with four degrees of freedom studied and applied, and most of the published four degrees of freedom parallel mechanisms realize three-dimensional translation and One-dimensional rotation, four-degree-of-freedom parallel mechanisms that realize two-dimensional rotation and two-dimensional movement are very few. Most of the drive devices use the moving pairs in each branch chain, which increases the transmission conversion device and reduces the rigidity of the overall mechanism, and the drive motor is installed on each branch chain, which increases the moment of inertia of the overall mechanism.

发明内容: Invention content:

本发明的目的在于设计一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,该机构采用转动副驱动装置,并将驱动电机安装在固定架上,克服了上述提到的现有四自由度并联机构存在的问题。The object of the present invention is to design a non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement. The problems existing in the existing four-degree-of-freedom parallel mechanism.

如上构思,本发明的技术方案是:一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,包括定平台和动平台,其特征在于:定平台和动平台之间连接四条支路,第一条支路和第三条支路的连接组合方式相同,各杆件之间依次通过第一转动副、第二转动副和球铰链将定平台与动平台连接起来;第二条支路和第四条支路的连接组合方式相同,各杆件之间依次通过第一转动副、万向铰和球铰链将定平台与动平台连接起来;动平台底部装有可驱动动平台垂直旋转的可装卸的电机。As conceived above, the technical solution of the present invention is: a non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement, including a fixed platform and a moving platform, characterized in that: between the fixed platform and the moving platform Four branches are connected, the first branch and the third branch are connected in the same way, and the fixed platform and the moving platform are connected by the first rotating pair, the second rotating pair and the ball joint between the rods in turn; The connection and combination of the second branch and the fourth branch are the same, and the fixed platform and the moving platform are connected through the first rotating pair, the universal joint and the ball joint in turn between each rod; the bottom of the moving platform is equipped with a movable A detachable motor that drives the movable platform to rotate vertically.

上述第一条支路和第三条支路为约束支路,均由上、下两个连杆连接组成,其中下连杆的一端通过第一转动副和定平台相连,另一端通过第二转动副和上连杆的一端相连,上连杆的另一端通过球铰链和动平台相连。The above-mentioned first and third branches are constrained branches, both of which are connected by upper and lower connecting rods. One end of the lower connecting rod is connected with the fixed platform through the first rotating pair, and the other end is connected through the second The rotary pair is connected with one end of the upper link, and the other end of the upper link is connected with the moving platform through a ball joint.

上述第二条支路和第四条支路为非约束支路,均由上、下两个连杆连接组成,其中下连杆的一端通过转动副和定平台相连,另一端通过万向铰和上连杆的一端相连,上连杆的另一端通过球铰链和动平台相连。The second branch and the fourth branch mentioned above are unconstrained branches, both of which are connected by upper and lower connecting rods. One end of the lower connecting rod is connected with the fixed platform through a rotating pair, and the other end is connected through a universal hinge. It is connected with one end of the upper link, and the other end of the upper link is connected with the moving platform through a ball joint.

上述第二条支路和第四条支路关于第一条支路和第三条支路组成的平面对称;第一条支路和第三条支路关于第二条支路和第四条支路组成的平面对称。The above second branch and the fourth branch are symmetrical about the plane composed of the first branch and the third branch; the first branch and the third branch are about the second branch and the fourth branch The plane composed of branches is symmetrical.

上述四条支路中作为整个机构驱动装置的四个第一转动副均匀的分布在定平台的四周,并分别与四个驱动电机连接。Among the above four branches, the four first revolving pairs serving as the driving devices of the entire mechanism are evenly distributed around the fixed platform, and are respectively connected with the four driving motors.

上述第一条支路中转动副的轴线(1a,1b)和第三条支路中转动副的轴线(3a,3b)相互平行;第二条支路中转动副的轴线(2a)和第四条支路中转动副的轴线(4a)相互平行且正交于第一、第三支路中的转动副轴线。The axis (1a, 1b) of the revolving pair in the first branch above and the axis (3a, 3b) of the revolving pair in the third branch are parallel to each other; the axis (2a) of the revolving pair in the second branch and the The axes (4a) of the rotary pairs in the four branches are parallel to each other and orthogonal to the axes of the rotary pairs in the first and third branches.

上述第二条支路中万向铰的轴线(2b)分别与转动副轴线(2a)及万向铰的另一轴线(2c)正交;第四条支路中万向铰的轴线(4b)分别与转动副轴线(4a)及万向铰的另一轴线(4c)正交。The axis (2b) of the universal joint in the above-mentioned second branch is orthogonal to the axis of the rotating pair (2a) and another axis (2c) of the universal joint respectively; the axis (4b) of the universal joint in the fourth branch ) are respectively perpendicular to the rotary axis (4a) and the other axis (4c) of the universal joint.

上述四条支路与动平台连接的球铰链用三个等效的转动副来替代,其中,球铰链的一条轴线与各支路连杆的轴线平行;球铰链的一条轴线在动平台平面内,且均匀分布在动平台的四个周边上;球铰链的另一轴线分别垂直于各自的前两个轴线组成的平面。The ball joints connecting the above four branches to the moving platform are replaced by three equivalent rotating pairs, wherein one axis of the ball joint is parallel to the axis of the connecting rods of each branch; one axis of the ball joint is in the plane of the moving platform, And evenly distributed on the four peripheries of the moving platform; the other axis of the ball hinge is respectively perpendicular to the plane formed by the first two axes.

上述动平台上安装有刀具装夹装置。A tool clamping device is installed on the above moving platform.

本发明具有如下的优点和积极效果:The present invention has following advantage and positive effect:

1、结构简单紧凑,便于制造及安装。1. Simple and compact structure, easy to manufacture and install.

2、本发明构件种类少、装配简单且驱动装置简单且易于控制。2. The present invention has few types of components, simple assembly, simple driving device and easy control.

3、本发明整体转动惯量小,动态运动特性好。3. The overall moment of inertia of the present invention is small, and the dynamic motion characteristics are good.

4、本发明可使动平台具有两维移动和两维转动的输出。如有需要,配合动平台下端4. The present invention can make the movable platform have two-dimensional movement and two-dimensional rotation output. If necessary, cooperate with the lower end of the moving platform

面的可装卸的电机,使动平台上的刀具增加一维转动输出。The detachable motor on the surface increases the one-dimensional rotation output of the cutter on the moving platform.

附图说明 Description of drawings

图1为本发明并联机构的三维等轴侧视图;Fig. 1 is the three-dimensional isometric side view of parallel mechanism of the present invention;

图2为本发明并联机构的主视图;Fig. 2 is the front view of parallel mechanism of the present invention;

图3为本发明并联机构的侧视图。Fig. 3 is a side view of the parallel mechanism of the present invention.

图中:1.第一条支路,2.第二条支路,3.第三条支路,4.第四条支路,5.动平台,6.刀具装夹装置,7.可选择电机,8.定平台,A.万向铰,C.等效球铰链,11.第一条支路的下连杆,12.第一条支路的上连杆,21.第二条支路的下连杆,22.第二条支路的上连杆,31.第三条支路的下连杆,32.第三条支路的上连杆,41.第四条支路的下连杆,42.第四条支路的上连杆,1a.支链一的第一转动副的轴线,2a.支链二的转动副轴线,3a.支链三的第一转动副轴线,4a.支链四的转动副轴线,1b.支链一的第二转动副轴线,2b.支链二万向铰的第一轴线,3b.支链三的第二转动副轴线,4b.支链四万向铰的第一轴线,2c.支链二万向铰的第二轴线,4c支链四万向铰的第二轴线。In the figure: 1. The first branch, 2. The second branch, 3. The third branch, 4. The fourth branch, 5. The moving platform, 6. The tool clamping device, 7. Can Select the motor, 8. Fixed platform, A. Universal hinge, C. Equivalent spherical hinge, 11. The lower link of the first branch, 12. The upper link of the first branch, 21. The second The lower link of the branch, 22. The upper link of the second branch, 31. The lower link of the third branch, 32. The upper link of the third branch, 41. The fourth branch 42. The upper link of the fourth branch, 1a. the axis of the first rotating pair of branch chain one, 2a. the axis of the rotating pair of branch chain two, 3a. the first rotating pair of branch chain three Axis, 4a. Rotating pair axis of branch chain 4, 1b. Second rotating pair axis of branch chain 1, 2b. First axis of branch chain 2 universal hinge, 3b. Second rotating pair axis of branch chain 3, 4b . The first axis of the four universal hinges of the branch chain, 2c. The second axis of the two universal hinges of the branch chain, 4c the second axis of the four universal hinges of the branch chain.

具体实施方式Detailed ways

下面结合附图和具体实施方式对本发明进行详细的解说。The present invention will be explained in detail below in conjunction with the accompanying drawings and specific embodiments.

如图一所示,本发明的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,包括定平台(8),动平台(5),连接定平台与动平台的第一条支路(1),第二条支路(2),第三条支路(3),第四条支路(4),安装在动平台上端面的刀具装夹装置(6)及安装在动平台下表面的可装卸的电机(7)。所述的第一条支路(1)和第三条支路(3)具有相同的连接方式;所述的第二条支路(2)和第四条支路(4)具有相同的连接方式。第二条支路(2)和第四条支路(4)关于第一条支路(1)和第三条支路(3)组成的平面对称;第一条支路(1)和第三条支路(3)关于第二条支路(2)和第四条支路(4)组成的平面对称。As shown in Figure 1, a non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement of the present invention includes a fixed platform (8) and a moving platform (5), connecting the fixed platform and the moving platform The first branch (1), the second branch (2), the third branch (3), the fourth branch (4), the tool clamping device installed on the upper end of the moving platform (6 ) and a detachable motor (7) installed on the lower surface of the moving platform. The first branch (1) and the third branch (3) have the same connection mode; the second branch (2) and the fourth branch (4) have the same connection Way. The second branch (2) and the fourth branch (4) are symmetrical about the plane composed of the first branch (1) and the third branch (3); the first branch (1) and the The three branches (3) are symmetrical about the plane formed by the second branch (2) and the fourth branch (4).

在本机构中,第一条支路(1)中的连杆(11)一端通过第一转动副和定平台(8)相连;另一端通过第二转动副和连杆(12)相连,两转动副的轴线(1a,1b)相互平行;连杆(12)的另一端通过球铰链(C)和动平台(5)相连,球铰链用三个等效的移动副来代替,其中球铰副的一条轴线沿着连杆(12)的轴向,球铰链的一条轴线在动平台(5)的平面内且平行于动平台(5)的一条周边。In this mechanism, one end of the connecting rod (11) in the first branch (1) is connected with the fixed platform (8) through the first rotating pair; the other end is connected with the connecting rod (12) through the second rotating pair, and the two The axes (1a, 1b) of the rotating pair are parallel to each other; the other end of the connecting rod (12) is connected to the moving platform (5) through a ball joint (C), and the ball joint is replaced by three equivalent moving pairs, among which the ball joint An axis of the pair is along the axial direction of the connecting rod (12), and an axis of the ball joint is in the plane of the moving platform (5) and parallel to a periphery of the moving platform (5).

在本机构中,第二条支路(2)中的连杆(21)一端通过转动副和定平台(8)相连;另一端通过万向铰和连杆(22)相连,万向铰的轴线(2b)正交与转动副轴线(2a),万向铰的轴线(2c)垂直于万向铰的轴线(2b);连杆(22)的另一端通过球铰副(C)和动平台(5)相连,球铰副用三个等效的移动副来代替,其中球铰副的一条轴线沿着连杆(22)的轴向,球铰副的一条轴线在动平台(5)的平面内且平行于动平台(5)的一条周边。In this mechanism, one end of the connecting rod (21) in the second branch (2) is connected with the fixed platform (8) through a rotating pair; the other end is connected with the connecting rod (22) through a universal hinge, and the The axis (2b) is perpendicular to the axis of the rotary joint (2a), and the axis (2c) of the universal joint is perpendicular to the axis (2b) of the universal joint; the other end of the connecting rod (22) passes through the ball joint (C) and the dynamic The platform (5) is connected, and the ball joint pair is replaced by three equivalent moving pairs, wherein one axis of the ball joint pair is along the axial direction of the connecting rod (22), and one axis of the ball joint pair is on the moving platform (5). In the plane and parallel to a perimeter of the moving platform (5).

在本机构中,所述的各支路的驱动装置均安装在固定架上,通过各支路中第一转动副相对于定平台的旋转角度来调节各支路相对于定平台(8)的位置,进而改变动平台(5)位姿。In this mechanism, the driving devices of each branch are installed on the fixed frame, and the rotation angle of each branch relative to the fixed platform (8) is adjusted by the rotation angle of the first rotating pair in each branch relative to the fixed platform (8). position, and then change the pose of the moving platform (5).

在本实施方式中,采用伺服驱动电机进行驱动,也可以是其他形式电机进行驱动。In this embodiment, a servo drive motor is used for driving, but other types of motors may also be used for driving.

本机构的工作原理如下:由于第二支路和第四支路为非约束支路,对机构没有约束作用,而第一支路和第三支路为约束支路,共同作用给整个机构提供了两个约束(垂直于动平台的转动和第一、第三支链转动副轴线方向的移动),从而使动平台拥有两维的转动和两维的移动输出。通过调节伺服电机的输出参数,来调节动平台的位姿。The working principle of this mechanism is as follows: Since the second branch and the fourth branch are non-constrained branches, they have no restraint effect on the mechanism, while the first branch and the third branch are constrained branches, which work together to provide the whole mechanism Two constraints (rotation perpendicular to the moving platform and movement in the direction of the axis of rotation of the first and third branch chains) are established, so that the moving platform has two-dimensional rotation and two-dimensional movement output. Adjust the pose of the moving platform by adjusting the output parameters of the servo motor.

Claims (9)

1.一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,包括定平台和动平台,其特征在于:定平台和动平台之间连接四条支路,第一条支路和第三条支路的连接组合方式相同,各杆件之间依次通过第一转动副、第二转动副和球铰链将定平台与动平台连接起来;第二条支路和第四条支路的连接组合方式相同,各杆件之间依次通过第一转动副、万向铰和球铰链将定平台与动平台连接起来;动平台底部装有可驱动动平台垂直旋转的可装卸的电机。1. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement, comprising a fixed platform and a moving platform, characterized in that four branches are connected between the fixed platform and the moving platform, the first The connection and combination of the branch road and the third branch road are the same, and the fixed platform and the moving platform are connected by the first rotating pair, the second rotating pair and the ball joint in sequence between the rods; the second branch road and the fourth branch road The connection and combination of the branch roads are the same, and the fixed platform and the moving platform are connected by the first rotating pair, the universal joint and the ball joint in turn between the rods; the bottom of the moving platform is equipped with a removable motor. 2.根据权利要求1所述的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,其特征在于:上述第一条支路和第三条支路为约束支路,均由上、下两个连杆连接组成,其中下连杆的一端通过第一转动副和定平台相连,另一端通过第二转动副和上连杆的一端相连,上连杆的另一端通过球铰链和动平台相连。2. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement according to claim 1, characterized in that: the first branch and the third branch are constrained branches Both are composed of upper and lower connecting rods, one end of the lower connecting rod is connected with the fixed platform through the first rotating pair, the other end is connected with one end of the upper connecting rod through the second rotating pair, and the other end of the upper connecting rod One end is connected with the moving platform through a ball hinge. 3.根据权利要求1所述的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,其特征在于:上述第二条支路和第四条支路为非约束支路,均由上、下两个连杆连接组成,其中下连杆的一端通过转动副和定平台相连,另一端通过万向铰和上连杆的一端相连,上连杆的另一端通过球铰链和动平台相连。3. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement according to claim 1, characterized in that: the second branch and the fourth branch are non-constrained The branches are composed of upper and lower connecting rods, one end of the lower connecting rod is connected with the fixed platform through a rotating pair, the other end is connected with one end of the upper connecting rod through a universal hinge, and the other end of the upper connecting rod is connected through The ball hinge is connected with the moving platform. 4.根据权利要求1或2或3所述的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,其特征在于:上述第二条支路和第四条支路关于第一条支路和第三条支路组成的平面对称;第一条支路和第三条支路关于第二条支路和第四条支路组成的平面对称。4. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement according to claim 1, 2 or 3, characterized in that: the second branch and the fourth branch The road is symmetrical about the plane formed by the first branch and the third branch; the first branch and the third branch are symmetrical about the plane formed by the second branch and the fourth branch. 5.根据权利要求1或2或3所述的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,其特征在于:四条支路中作为整个机构驱动装置的四个第一转动副均匀的分布在定平台的四周,并分别与四个驱动电机连接。5. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement according to claim 1, 2 or 3, characterized in that: four of the four branches as the driving device of the entire mechanism A first rotating pair is evenly distributed around the fixed platform and connected with four drive motors respectively. 6.根据权利要求1或2或3所述的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,其特征在于:第一条支路中转动副的轴线(1a,1b)和第三条支路中转动副的轴线(3a,3b)相互平行;第二条支路中转动副的轴线(2a)和第四条支路中转动副的轴线(4a)相互平行且正交于第一、第三支路中的转动副轴线。6. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement according to claim 1, 2 or 3, characterized in that: the axis of the rotating pair in the first branch ( 1a, 1b) and the axis of the revolving pair in the third branch (3a, 3b) are parallel to each other; the axis of the revolving pair in the second branch (2a) and the axis of the revolving pair in the fourth branch (4a) They are parallel to each other and perpendicular to the axis of rotation of the first and third branches. 7.根据权利要求1或2或3所述的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,其特征在于:第二条支路中万向铰的轴线(2b)分别与转动副轴线(2a)及万向铰的另一轴线(2c)正交;第四条支路中万向铰的轴线(4b)分别与转动副轴线(4a)及万向铰的另一轴线(4c)正交。7. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement according to claim 1, 2 or 3, characterized in that: the axis of the universal joint in the second branch (2b) are respectively perpendicular to the rotary axis (2a) and the other axis (2c) of the universal hinge; the axis (4b) of the universal hinge in the fourth branch is respectively perpendicular to the rotary axis (4a) and the The other axis (4c) of the hinge is orthogonal. 8.根据权利要求1或2或3所述的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,其特征在于:四条支路与动平台连接的球铰链用三个等效的转动副来替代,其中,球铰链的一条轴线与各支路连杆的轴线平行;球铰链的一条轴线在动平台平面内,且均匀分布在动平台的四个周边上;球铰链的另一轴线分别垂直于各自的前两个轴线组成的平面。8. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement according to claim 1, 2 or 3, characterized in that: the four branches are used for ball joints connected to the moving platform Three equivalent rotating pairs are used instead, wherein one axis of the ball joint is parallel to the axis of each branch connecting rod; one axis of the ball joint is in the plane of the moving platform and evenly distributed on the four peripheries of the moving platform; The other axes of the ball hinge are respectively perpendicular to the plane formed by the respective first two axes. 9.根据权利要求1所述的一种具有两维转动和两维移动的非完全对称的四自由度空间并联机构,其特征在于:上述动平台上安装有刀具装夹装置。9. A non-completely symmetrical four-degree-of-freedom space parallel mechanism with two-dimensional rotation and two-dimensional movement according to claim 1, wherein a tool clamping device is installed on the moving platform.
CN2011101611028A 2011-06-15 2011-06-15 Incompletely-symmetrical four-freedom-degree space in-parallel mechanism with two-dimensional rotation and two-dimensional movement Pending CN102240911A (en)

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