CN103433916B - The isometrical sphere of two degrees of freedom is pure rolls rotating mechanism in parallel - Google Patents
The isometrical sphere of two degrees of freedom is pure rolls rotating mechanism in parallel Download PDFInfo
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Abstract
本发明公开了一种二自由度等径球面纯滚并联转动机构,涉及机器人、精密仪器和设备以及机械制造技术领域。所述机构主要由运动平台、固定基座和运动支链构成,可以实现运动平台绕固定基座做二自由度等径球面纯滚并联转动。所述运动平台和固定基座间通过运动副连接三个以上运动支链,每个运动支链包含两个以上连杆;每个运动支链均为对称结构,包含两个或多个运动副,形成4个以上自由度。本发明提供的转动机构,运动平台工作空间大;结构紧凑;刚度大;机构不含冗余约束,运动支链间无相互内应力,精度稳定性高;结构简单,便于安装。这些优点使该转动机构在高性能指向装置领域会有广泛的应用。
The invention discloses a two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism, which relates to the technical fields of robots, precision instruments and equipment, and mechanical manufacturing. The mechanism is mainly composed of a motion platform, a fixed base and a motion branch chain, which can realize the pure rolling and parallel rotation of the motion platform around the fixed base with two degrees of freedom and equal diameter spherical surface. The motion platform and the fixed base are connected with more than three kinematic branch chains through kinematic pairs, and each kinematic branch chain contains more than two connecting rods; each kinematic branch chain has a symmetrical structure and contains two or more kinematic pairs , forming more than 4 degrees of freedom. The rotating mechanism provided by the invention has a large working space of the moving platform; compact structure; high rigidity; the mechanism does not contain redundant constraints, and there is no mutual internal stress between the moving branch chains; the precision and stability are high; the structure is simple and easy to install. These advantages enable the rotating mechanism to be widely used in the field of high-performance pointing devices.
Description
技术领域technical field
本发明涉及机器人、精密仪器和设备以及机械制造技术领域,具体涉及一种二自由度等径球面纯滚并联转动机构。The invention relates to the technical field of robots, precision instruments and equipment, and machinery manufacturing, and in particular to a two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism.
背景技术Background technique
二自由度转动机构已经在机械制造、汽车工业制造、航空航天制造、机器人等领域得到了广泛应用,包括机床主轴、汽车联轴节、航空指向平台等领域。随着技术发展,机构末端负载越来越大,传统二自由度转动机构已经不易满足设计要求;而二自由度并联转动机构因其具有刚度大、精度高、承载能力强、运动惯量小等特点,越来越受到关注并得到广泛应用。典型如,G.R.Dunlop基于三自由度多铰链并联机构专利(US4651589)设计了具有两个转动自由度的并联雷达追踪器(CanterburySatelliteTracker);专利US5893296及WO99/21070公开了一种四支链的二自由度并联转动机构,并被成功用作娱乐喷泉等装置;专利US7478576及US7472622均公开了一种三支链的二自由度并联转动机构。已公开的机构多为具有冗余约束的并联机构,机构的支链间有随平台姿态变化且不稳定的装配应力,在高速运动过程中,动态性能不好,精度稳定性差。The two-degree-of-freedom rotating mechanism has been widely used in machinery manufacturing, automobile manufacturing, aerospace manufacturing, robotics and other fields, including machine tool spindles, automobile couplings, aviation pointing platforms and other fields. With the development of technology, the load at the end of the mechanism is getting larger and larger, and the traditional two-degree-of-freedom rotating mechanism is difficult to meet the design requirements; and the two-degree-of-freedom parallel rotating mechanism has the characteristics of high rigidity, high precision, strong bearing capacity, and small motion inertia. , has attracted more and more attention and has been widely used. Typically, G.R.Dunlop designed a parallel radar tracker (Canterbury Satellite Tracker) with two rotational degrees of freedom based on the three-degree-of-freedom multi-hinge parallel mechanism patent (US4651589); patent US5893296 and WO99/21070 disclose a four-branched two-freedom degree parallel rotation mechanism, and has been successfully used as devices such as entertainment fountains; patents US7478576 and US7472622 both disclose a two-degree-of-freedom parallel rotation mechanism with three branches. Most of the published mechanisms are parallel mechanisms with redundant constraints. The branch chains of the mechanism have unstable assembly stresses that vary with the attitude of the platform. During high-speed motion, the dynamic performance is not good and the precision stability is poor.
发明内容Contents of the invention
本发明的目的是提供一种二自由度等径球面纯滚并联转动机构,该类机构主要由运动平台、固定基座和运动支链构成,可以实现运动平台绕固定基座做二自由度等径球面纯滚并联转动。所述运动平台和固定基座间包含三个以上运动支链,每个运动支链包含两个以上连杆;每个运动支链均为对称结构,包含两个或多个运动副,形成4个以上自由度;每个运动支链的输入端通过运动副与固定基座相连,每个运动支链的输出端通过运动副与运动平台相连;各个运动支链间相对位置可以是关于中心对称的,如此,机构既美观且各运动支链间承载力均衡,应用寿命长。The purpose of the present invention is to provide a two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism, which is mainly composed of a moving platform, a fixed base and a moving branch chain, which can realize two-degree-of-freedom movement of the moving platform around the fixed base, etc. Radial spherical pure rolling parallel rotation. There are more than three kinematic branch chains between the motion platform and the fixed base, and each kinematic branch chain contains more than two connecting rods; each kinematic branch chain is a symmetrical structure, including two or more kinematic pairs, forming 4 More than one degree of freedom; the input end of each kinematic branch chain is connected to the fixed base through a kinematic pair, and the output end of each kinematic branch chain is connected to the motion platform through a kinematic pair; the relative position of each kinematic branch chain can be symmetrical about the center In this way, the mechanism is beautiful and the bearing capacity of each motion branch chain is balanced, and the service life is long.
本发明所述二自由度等径球面纯滚并联转动机构,所述每个运动支链关于对称面II对称,实现运动平台绕固定基座做二自由度等径球面纯滚并联转动;所述等径球面是指:假设A点与B点的连线的中点为C点,分别以A点和B点为球心,AC或BC为半径做球,两个球的公切面为对称面II;The two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention, each of the kinematic branch chains is symmetrical about the symmetry plane II, and realizes the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation of the motion platform around the fixed base; Isometric spherical surface means: assume that the midpoint of the line connecting point A and point B is point C, with point A and point B as the center of the sphere, AC or BC as the radius to make a sphere, and the common tangent plane of the two spheres is a symmetrical plane II;
所述A点由如下关系确定:当各运动支链与运动平台相连的运动副轴线共面时,A点位于各运动支链与运动平台相连的运动副轴线所形成的面中心;当各运动支链与运动平台相连的运动副轴线交于一公共点时,A点位于该公共点处;The A point is determined by the following relationship: when each kinematic branch chain is coplanar with the kinematic auxiliary axis connected to the kinematic platform, A point is located at the center of the surface formed by each kinematic branch chain and the kinematic auxiliary axis connected to the kinematic platform; When the auxiliary axis of motion connected by the branch chain and the motion platform intersects at a common point, point A is located at the common point;
所述B点由如下关系确定:当各运动支链与固定基座相连的运动副轴线共面时,B点位于各运动支链与固定基座相连的运动副轴线所形成的面中心;当各运动支链与固定基座相连的运动副轴线交于一公共点时,B点位于该公共点处。The B point is determined by the following relationship: when each kinematic branch chain is coplanar with the kinematic auxiliary axis connected to the fixed base, B point is located at the center of the surface formed by each kinematic branch chain and the kinematic auxiliary axis connected to the fixed base; When the kinematic secondary axes connected by each kinematic branch chain and the fixed base intersect at a common point, point B is located at the common point.
该二自由度等径球面纯滚并联转动机构仅具有两个转动自由度,但具有多个驱动运动支链,可以实现冗余驱动,以保证在高负载情形下的输入力矩不足。具体实施时可以在每个运动支链与固定基座的连接运动副上安装驱动电机,负载低时只需其中两个驱动电机工作并输出力矩,其余剩下的驱动电机仅作位置随动;负载大时,所有驱动电机均参与工作并输出力矩,以确保在瞬时有足够的转动力矩驱动负载转动。The two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism has only two rotational degrees of freedom, but has multiple driving motion branches, which can realize redundant driving to ensure that the input torque is insufficient under high load conditions. In specific implementation, drive motors can be installed on the kinematic pair connected between each motion branch chain and the fixed base. When the load is low, only two of the drive motors are required to work and output torque, and the rest of the drive motors are only for position follow-up; When the load is heavy, all drive motors participate in the work and output torque to ensure that there is enough torque to drive the load to rotate in an instant.
本发明提供的转动机构具有以下优点:The rotating mechanism provided by the present invention has the following advantages:
(1)运动平台工作空间大(一般为±60°,最大可达±90°);(2)结构紧凑;(3)刚度大;(4)机构不含冗余约束,运动支链间无相互内应力,精度稳定性高;(5)结构简单,便于安装。这些优点使该转动机构在高性能指向装置领域会有广泛的应用。(1) The working space of the motion platform is large (generally ±60°, up to ±90°); (2) The structure is compact; (3) The rigidity is large; (4) The mechanism does not contain redundant constraints, and there is no Mutual internal stress, high accuracy and stability; (5) Simple structure, easy to install. These advantages enable the rotating mechanism to be widely used in the field of high-performance pointing devices.
附图说明Description of drawings
图1为本发明二自由度等径球面纯滚并联转动机构整体结构示意图;Fig. 1 is a schematic diagram of the overall structure of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图2为本发明二自由度等径球面纯滚并联转动机构中运动支链对称结构示意图;Fig. 2 is a schematic diagram of the symmetrical structure of the kinematic branch chain in the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention;
图3为本发明二自由度等径球面纯滚并联转动机构第一实施例结构示意图;Fig. 3 is a structural schematic diagram of the first embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图4为本发明二自由度等径球面纯滚并联转动机构第二实施例结构示意图;Fig. 4 is a structural schematic diagram of the second embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图5为本发明二自由度等径球面纯滚并联转动机构第三实施例结构示意图;Fig. 5 is a structural schematic diagram of the third embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图6为本发明二自由度等径球面纯滚并联转动机构第四实施例结构示意图;Fig. 6 is a structural schematic diagram of the fourth embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图7为本发明二自由度等径球面纯滚并联转动机构第五实施例结构示意图;Fig. 7 is a structural schematic diagram of the fifth embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图8为本发明二自由度等径球面纯滚并联转动机构第六实施例结构示意图;Fig. 8 is a structural schematic diagram of the sixth embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图9为本发明二自由度等径球面纯滚并联转动机构第七实施例结构示意图;Fig. 9 is a structural schematic diagram of the seventh embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图10为本发明二自由度等径球面纯滚并联转动机构第八实施例结构示意图;Fig. 10 is a structural schematic diagram of the eighth embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图11为本发明二自由度等径球面纯滚并联转动机构第九实施例结构示意图;Fig. 11 is a structural schematic diagram of the ninth embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图12为本发明二自由度等径球面纯滚并联转动机构第十实施例结构示意图;Fig. 12 is a structural schematic diagram of the tenth embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图13为本发明二自由度等径球面纯滚并联转动机构第十一实施例结构示意图;Fig. 13 is a structural schematic diagram of the eleventh embodiment of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention;
图14为本发明二自由度等径球面纯滚并联转动机构第十二实施例结构示意图;Fig. 14 is a structural schematic diagram of the twelfth embodiment of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention;
图15为本发明二自由度等径球面纯滚并联转动机构第十三实施例结构示意图;Fig. 15 is a structural schematic diagram of the thirteenth embodiment of the two-degree-of-freedom equal-diameter spherical pure-rolling parallel rotation mechanism of the present invention;
图16为本发明二自由度等径球面纯滚并联转动机构第十四实施例结构示意图。Fig. 16 is a structural schematic diagram of the fourteenth embodiment of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention.
具体实施方式detailed description
下面将结合附图和实施例对本发明作进一步的详细说明。The present invention will be further described in detail with reference to the accompanying drawings and embodiments.
在所有实施例中,所述Ri表示一个转动副,Pi表示一个移动副,Ui表示一个含有两个相交转动轴线的万向节副,Ci表示一个圆柱副,Pai表示一个由四个转动副构成的平行四杆副,Si表示一个球副,i为自然数。In all embodiments, said R i represents a rotary joint, P i represents a moving joint, U i represents a universal joint joint containing two intersecting rotational axes, C i represents a cylindrical joint, and Pa i represents a joint composed of A parallel four bar pair composed of four revolving pairs, S i represents a spherical pair, and i is a natural number.
本发明提供的二自由度等径球面纯滚并联转动机构,如图1所示,包括运动平台1、固定基座2、第一运动支链3、第二运动支链4、第三运动支链5;运动平台1与固定基座2通过运动副分别与第一运动支链3、第二运动支链4、第三运动支链5的两端相连。第一运动支链3、第二运动支链4、第三运动支链5(还可以包括第四运动支链6等更多的运动支链)可以是结构相同的运动支链,也可以仅部分运动支链结构相同。相同的运动支链间也可以有不同的结构尺寸,只要满足一定的条件即可。固定基座2可以安装在机床等设备的运动末端上或者执行机构上,运动平台1则安装旋转刀头或者目标传感器,如此,运动平台1可以实现相对与固定基座2的±60°,最大可达±90°的工作空间,即可以实现机械加工或者目标跟踪及检测等应用。The two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism provided by the present invention, as shown in Figure 1, includes a motion platform 1, a fixed base 2, a first motion branch chain 3, a second motion branch chain 4, a third motion branch The chain 5; the motion platform 1 and the fixed base 2 are respectively connected with the two ends of the first motion branch chain 3, the second motion branch chain 4 and the third motion branch chain 5 through the motion pairs. The first kinematic branch chain 3, the second kinematic branch chain 4, the third kinematic branch chain 5 (can also include more kinematic branch chains such as the fourth kinematic branch chain 6) can be kinematic branch chains with the same structure, or only Some kinematic branches have the same structure. The same kinematic branches can also have different structural sizes, as long as certain conditions are met. The fixed base 2 can be installed on the moving end of the machine tool and other equipment or on the actuator, and the moving platform 1 is equipped with a rotating cutter head or a target sensor. In this way, the moving platform 1 can achieve ±60° relative to the fixed base 2, and the maximum The working space can reach ±90°, that is, it can realize applications such as machining or target tracking and detection.
所述运动支链结构需要满足的条件为:每个运动支链中存在一个对称面II,运动支链中的运动副均关于该对称面II上下对称,如图2所示,转动副R3与R2的轴线延长线的交点D,转动副R1与R2的轴线延长线的交点E,转动副R3与R1的轴线的延长线的交点F,三个交点组成一个平面等腰三角形DEF,其中:D点为顶点,腰长DE等于腰长DF;穿过D点和C点且以底边EF为法线的垂直平分面称为对称面II。在运动平台1与固定基座2之间,所有运动支链的对称面II相互重合,构成一个公共的对称面。The condition that the kinematic branch chain structure needs to meet is: there is a symmetry plane II in each kinematic branch chain, and the kinematic pairs in the kinematic branch chain are all symmetrical up and down with respect to the symmetry plane II, as shown in Figure 2, the revolving pair R 3 The intersection point D with the extension line of the axis of R 2 , the intersection point E of the extension line of the axis of the rotating pair R 1 and R 2 , the intersection point F of the extension line of the axis of the rotating pair R 3 and R 1 , the three intersection points form a plane isosceles Triangle DEF, wherein: point D is the vertex, waist length DE is equal to waist length DF; the perpendicular bisector passing through point D and point C and taking the base EF as normal is called symmetry plane II. Between the motion platform 1 and the fixed base 2, the symmetry planes II of all the motion branch chains coincide with each other to form a common symmetry plane.
所述的运动支链与运动平台1或者固定基座2之间的连接关系可以是转动副、移动副、万向节副或者圆柱副;也可以采用相同的运动副进行连接,以简化结构,节约制造成本。The connection relationship between the motion branch chain and the motion platform 1 or the fixed base 2 can be a rotating pair, a moving pair, a universal joint pair or a cylindrical pair; the same kinematic pair can also be used for connection to simplify the structure, Save manufacturing cost.
所述的运动支链与运动平台1可以实现绕固定基座2的二自由度等径球面纯滚运动,如图1所示,A点和B点为两个半球的球心,C点为两个半球的接触点;运动平台1所在的半球的球心为A点,半径为A点与C点的距离LAC;固定基座2所在的半球的球心为B点,半径为B点与C点的距离LBC;且LAC=LBC;平面II为两个接触半球的过C点公切面,称为对称面II。本发明提供的二自由度等径球面纯滚并联转动机构在运动时,运动平台1就像固定在半球A上,固定基座2就像固定在半球B上,两个半球球面做无滑移的纯滚运动,两个半球接触点为C点,因此形成了运动平台1相对于固定基座2的等径球面纯滚并联转动。The motion branch chain and the motion platform 1 can realize a two-degree-of-freedom equidiameter spherical pure rolling motion around the fixed base 2, as shown in Figure 1, points A and B are the centers of two hemispheres, and point C is The contact point of the two hemispheres; the center of the hemisphere where the motion platform 1 is located is point A, and the radius is the distance L AC between point A and point C; the center of the hemisphere where the fixed base 2 is located is point B, and the radius is point B The distance from point C is L BC ; and L AC =L BC ; plane II is the common tangent plane passing through point C of the two contacting hemispheres, called symmetry plane II. When the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism provided by the present invention is in motion, the motion platform 1 is as if fixed on the hemisphere A, and the fixed base 2 is as if fixed on the hemisphere B, and the two hemispheres do not slip The pure rolling motion of the two hemispheres is point C, so the pure rolling parallel rotation of the equidiametric spherical surface of the moving platform 1 relative to the fixed base 2 is formed.
所述球心A点由如下关系确定:当各运动支链与运动平台1相连的运动副轴线或中心共面时,A点位于各运动支链与运动平台1相连的运动副轴线或中心所形成的面中心;当各运动支链与运动平台1相连的运动副轴线交于一公共点时,A点位于该公共点处。The point A of the center of the sphere is determined by the following relationship: when each branch chain is coplanar with the secondary axis or the center of the movement that is connected to the movement platform 1, point A is located at the position of the secondary axis or center of the movement that each branch chain is connected to the movement platform 1 The center of the formed surface; when the secondary kinematic axes of each kinematic branch chain and the kinematic platform 1 intersect at a common point, point A is located at the common point.
所述球心B点由如下关系确定:当各运动支链与固定基座2相连的运动副轴线或中心共面时,B点位于各运动支链与固定基座2相连的运动副轴线或中心所形成的面中心;当各运动支链与固定基座2相连的运动副轴线交于一公共点时,B点位于该公共点处。The point B of the center of the sphere is determined by the following relationship: when the secondary axis or center of the movement of each branch chain connected to the fixed base 2 is coplanar, point B is located at the secondary axis or axis of movement of each branch chain connected to the fixed base 2 The center of the surface formed by the center; when the kinematic secondary axes connected to each kinematic branch chain and the fixed base 2 intersect at a common point, point B is located at the common point.
本发明的二自由度等径球面纯滚并联转动机构的实施例一如图3所示,包括运动平台101、固定基座102、第一运动支链103、第二运动支链104和第三运动支链105;运动平台101上设有三个转动副连接端,分别和三个运动支链构成三个转动副R4、R6和R8,三个转动副轴线交于一公共点;固定基座102上设有三个转动副连接端,分别和三个运动支链构成三个转动副R1、R5和R7,三个转动副轴线交于一公共点;第一运动支链103由三个连杆组成,包含有四个转动副,依次为R1、R2、R3和R4,转动副R1和R2构成下连杆,转动副R2和R3构成中连杆,R3和R4构成上连杆;R1和固定基座102相连,R4和运动平台101相连,转动副R1和转动副R2位于中连杆的两侧;第二运动支链104由两个连杆组成,包含三个运动副,依次为R5、S1和R6,转动副R5和球副S1构成下连杆,转动副R6和球副S1构成上连杆,转动副R5与固定基座102相连,转动副R6与运动平台101相连,转动副R5和转动副R6位于球副S1的两端;第三运动支链105由两个连杆组成,包含三个运动副,依次为R7、S2和R8,转动副R7和球副S2构成下连杆,转动副R8和球副S2构成上连杆,转动副R7与固定基座102相连,转动副R8与运动平台101相连,转动副R7和转动副R8位于球副S2的两端;其中,第一运动支链103中转动副R2和转动副R3的轴线交点,第二运动支链104中球副S1的中心点以及第三运动支链105中球副S2的中心点形成对称面II;Embodiment 1 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in Figure 3, including a motion platform 101, a fixed base 102, a first kinematic branch chain 103, a second kinematic branch chain 104 and a third kinematic branch chain. The motion branch chain 105; the motion platform 101 is provided with three rotating pair connection ends, which respectively form three rotating pairs R 4 , R 6 and R 8 with the three moving branch chains, and the axes of the three rotating pairs intersect at a common point; fixed The base 102 is provided with three revolving pairs connecting ends, respectively forming three revolving pairs R 1 , R 5 and R 7 with the three kinematic branch chains, and the axes of the three revolving pairs intersect at a common point; the first kinematic branch chain 103 It consists of three connecting rods, including four rotating pairs, which are R 1 , R 2 , R 3 and R 4 in turn. The rotating pairs R 1 and R 2 form the lower link, and the rotating pairs R 2 and R 3 form the middle link. R 3 and R 4 constitute the upper link; R 1 is connected to the fixed base 102, R 4 is connected to the motion platform 101, and the rotating pair R 1 and the rotating pair R 2 are located on both sides of the middle connecting rod; the second moving support The chain 104 is composed of two connecting rods, including three kinematic pairs, which are R5 , S1 and R6 in sequence. The rotating pair R5 and the ball pair S1 form the lower link, and the rotating pair R6 and the ball pair S1 form the lower link. On the upper link, the rotating pair R5 is connected to the fixed base 102, and the rotating pair R6 is connected to the motion platform 101. The rotating pair R5 and the rotating pair R6 are located at the two ends of the ball pair S1 ; the third motion branch chain 105 is composed of Composed of two connecting rods, including three kinematic pairs, which are R 7 , S 2 and R 8 in turn, the rotating pair R 7 and the ball pair S 2 form the lower link, and the rotating pair R 8 and the ball pair S 2 form the upper link , the revolving pair R 7 is connected with the fixed base 102, the revolving pair R 8 is connected with the motion platform 101, and the revolving pair R 7 and the revolving pair R 8 are located at the two ends of the ball pair S 2 ; The intersection point of the axes of the pair R2 and the rotating pair R3 , the center point of the ball pair S1 in the second kinematic branch chain 104 and the center point of the ball pair S2 in the third kinematic branch chain 105 form a plane of symmetry II ;
本发明的二自由度等径球面纯滚并联转动机构的实施例二如图4所示,包括运动平台201、固定基座202、第一运动支链203、第二运动支链204和第三运动支链205;运动平台201上设有三个转动副连接端,分别和三个运动支链构成三个转动副R4、R6和R8,三个转动副轴线共面且两两相交;固定基座202上设有三个转动副连接端,分别和三个运动支链构成三个转动副R1、R5和R7,三个转动副轴线共面且两两相交;第一运动支链203由三个连杆组成,包含有四个转动副,依次为R1、R2、R3和R4,转动副R1和R2构成下连杆,R2和R3构成中连杆,R3和R4构成上连杆;R1和固定基座202相连,R4和运动平台201相连;第二运动支链204由两个连杆组成,包含三个运动副,依次为R5、S1和R6,转动副R5和球副S1构成下连杆,转动副R6和球副S1构成上连杆,转动副R5与固定基座202相连,转动副R6与运动平台201相连;第三运动支链205由两个连杆组成,包含三个运动副,依次为R7、S2和R8,转动副R7和球副S2构成下连杆,转动副R8和球副S2构成上连杆,转动副R7与固定基座202相连,转动副R8与运动平台201相连;其中,第一运动支链203中转动副R2和转动副R3的轴线交点,第二运动支链204中球副S1的中心点以及第三运动支链205中球副S2的中心点形成对称面II;Embodiment 2 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. The motion branch chain 205; the motion platform 201 is provided with three rotating pair connection ends, which form three rotating pairs R 4 , R 6 and R 8 with the three moving branch chains respectively, and the axes of the three rotating pairs are coplanar and intersect two by two; The fixed base 202 is provided with three revolving pairs connecting ends, respectively forming three revolving pairs R 1 , R 5 and R 7 with the three kinematic branch chains. The chain 203 is composed of three connecting rods, including four rotating pairs, which are R 1 , R 2 , R 3 and R 4 in turn. The rotating pairs R 1 and R 2 form the lower link, and R 2 and R 3 form the middle link. Rods, R 3 and R 4 constitute the upper link; R 1 is connected to the fixed base 202, R 4 is connected to the motion platform 201; the second motion branch chain 204 is composed of two links, including three motion pairs, which are in turn R 5 , S 1 and R 6 , the rotating pair R 5 and the spherical pair S 1 form the lower link, the rotating pair R 6 and the spherical pair S 1 form the upper link, the rotating pair R 5 is connected with the fixed base 202, and the rotating pair R 6 is connected to the motion platform 201; the third motion branch chain 205 is composed of two connecting rods, including three motion pairs, which are R 7 , S 2 and R 8 in turn, and the rotation pair R 7 and the ball pair S 2 constitute the lower connection Rod, rotating pair R 8 and ball pair S 2 form the upper link, rotating pair R 7 is connected with the fixed base 202, and rotating pair R 8 is connected with the motion platform 201; wherein, the rotating pair R 2 in the first motion branch chain 203 The intersection with the axis of the rotating pair R3 , the center point of the ball pair S1 in the second kinematic branch chain 204 and the center point of the ball pair S2 in the third kinematic branch chain 205 form a plane of symmetry II;
本发明的二自由度等径球面纯滚并联转动机构的实施例三如图5所示,包括运动平台301、固定基座302、第一运动支链303、第二运动支链304、第三运动支链305和第四运动支链306;运动平台301上设有三个转动副连接端,分别和三个运动支链(第一运动支链303、第二运动支链304、第三运动支链305)构成三个转动副R2、R4和R6,三个转动副轴线共面且两两相交;固定基座302上设有三个转动副连接端,分别和三个运动支链(第一运动支链303、第二运动支链304、第三运动支链305)构成三个转动副R1、R3和R5,三个转动副轴线共面且两两相交;第一运动支链303、第二运动支链304以及第三运动支链305结构相似,均由两个连杆组成,但运动支链中连杆的长度可以依据具体应用背景选择不同尺寸;以第一运动支链303为例,包含有三个运动副,依次为R1、S2和R2,转动副R1和球副S2构成下连杆,转动副R2和球副S2构成上连杆,转动副R1与固定基座302相连,转动副R2与运动平台301相连;第四运动支链306为中心支链,仅由一个连杆组成,包含两个运动副,依次为U1和S1;万向节副U1和固定基座302相连,且万向节副U1中心位于R1、R3和R5轴线构成的平面上,球副S1和运动平台301相连,且球副S1中心位于R2、R4和R6轴线构成的平面上;其中,第一运动支链303中球副S2的中心点,第二运动支链304中球副S3的中心点以及第三运动支链305中球副S4的中心点形成对称面II;Embodiment 3 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Motion branch chain 305 and the 4th motion branch chain 306; The motion platform 301 is provided with three rotary pair connection ends, respectively and three motion branch chains (the first motion branch chain 303, the second movement branch chain 304, the 3rd movement branch chain chain 305) to form three revolving pairs R 2 , R 4 and R 6 , the axes of the three revolving pairs are coplanar and intersect two by two; the fixed base 302 is provided with three revolving pair connecting ends, respectively connected to the three kinematic branch chains ( The first kinematic branch chain 303, the second kinematic branch chain 304, and the third kinematic branch chain 305) form three revolving pairs R 1 , R 3 and R 5 , and the axes of the three revolving pairs are co-planar and intersect two by two; the first kinematic The branch chain 303, the second motion branch chain 304 and the third motion branch chain 305 are similar in structure and are all composed of two connecting rods, but the length of the connecting rods in the motion branch chain can be selected in different sizes according to the specific application background; Take the branch chain 303 as an example, which includes three kinematic pairs, which are R 1 , S 2 and R 2 in sequence. The rotating pair R 1 and the ball pair S 2 form the lower link, and the rotating pair R 2 and the ball pair S 2 form the upper link. , the revolving pair R 1 is connected with the fixed base 302, and the revolving pair R 2 is connected with the motion platform 301; the fourth kinematic branch chain 306 is a central branch chain, consisting of only one connecting rod, including two kinematic pairs, U 1 in turn and S 1 ; the universal joint pair U 1 is connected to the fixed base 302, and the center of the universal joint U 1 is located on the plane formed by the axes of R 1 , R 3 and R 5 , and the ball pair S 1 is connected to the motion platform 301, And the center of the ball pair S 1 is located on the plane formed by the axes of R 2 , R 4 and R 6 ; wherein, the center point of the ball pair S 2 in the first motion branch chain 303, the center point of the ball pair S 3 in the second motion branch chain 304 The center point and the center point of the ball pair S 4 in the third motion branch chain 305 form a plane of symmetry II;
本发明的二自由度等径球面纯滚并联转动机构的实施例四如图6所示,包括运动平台401、固定基座402、第一运动支链403、第二运动支链404、第三运动支链405和第四运动支链406;运动平台401上设有三个转动副连接端,分别和三个运动支链(第一运动支链403、第二运动支链404、第三运动支链405)构成三个转动副R2、R4和R6,三个转动副轴线交于一公共点;固定基座402上设有三个转动副连接端,分别和三个运动支链(第一运动支链403、第二运动支链404、第三运动支链405)构成三个转动副R1、R3和R5,三个转动副轴线交于一公共点;第一运动支链403、第二运动支链404以及第三运动支链405结构相似,均由两个连杆组成;以第一运动支链403为例,包含有三个运动副,依次为R1、S2和R2,转动副R1和球副S2构成下连杆,转动副R2和球副S2构成上连杆,转动副R1与固定基座402相连,转动副R2与运动平台401相连,转动副R1和转动副R2位于球副S2的两端;第四运动支链406为中心支链,仅由一个连杆组成,包含两个运动副,依次为U1和S1;万向节副U1和固定基座402相连,且中心位于R1、R3和R5轴线的公共交点上,球副S1和运动平台401相连,且中心位于R2、R4和R6轴线的公共交点上;其中,第一运动支链403中球副S2的中心点,第二运动支链404中球副S3的中心点以及第三运动支链405中球副S4的中心点形成对称面II;Embodiment 4 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in Figure 6, including a motion platform 401, a fixed base 402, a first motion branch chain 403, a second motion branch chain 404, a third motion Motion branch chain 405 and the 4th motion branch chain 406; The motion platform 401 is provided with three rotary pair connection ends, respectively and three motion branch chains (the first motion branch chain 403, the second motion branch chain 404, the 3rd motion branch chain chain 405) constitutes three revolving pairs R 2 , R 4 and R 6 , and the axes of the three revolving pairs intersect at a common point; the fixed base 402 is provided with three connecting ends of the revolving pairs, respectively connected with the three kinematic branch chains (No. A kinematic branch chain 403, a second kinematic branch chain 404, and a third kinematic branch chain 405) form three revolving pairs R 1 , R 3 and R 5 , and the axes of the three revolving pairs intersect at a common point; the first kinematic branch chain 403, the second kinematic branch chain 404 and the third kinematic branch chain 405 are similar in structure, and are composed of two connecting rods; taking the first kinematic branch chain 403 as an example, it contains three kinematic pairs, which are R 1 , S 2 and R 2 , rotating pair R 1 and ball pair S 2 form the lower link, rotating pair R 2 and spherical pair S 2 form the upper link, rotating pair R 1 is connected to the fixed base 402, and rotating pair R 2 is connected to the motion platform 401 connected, the rotating pair R 1 and the rotating pair R 2 are located at the two ends of the ball pair S 2 ; the fourth kinematic branch chain 406 is the central branch chain, which is composed of only one connecting rod and contains two kinematic pairs, which are U 1 and S in turn 1 ; the universal joint pair U 1 is connected with the fixed base 402, and the center is located at the common intersection of the R 1 , R 3 and R 5 axes, the ball pair S 1 is connected with the motion platform 401, and the center is located at R 2 , R 4 and R 6 axis public intersection; wherein, the center point of ball pair S 2 in the first motion branch chain 403, the center point of ball pair S 3 in the second motion branch chain 404 and the ball pair in the third motion branch chain 405 The central point of S 4 forms the symmetry plane II;
本发明的二自由度等径球面纯滚并联转动机构的实施例五如图7所示,包括运动平台501、固定基座502、第一运动支链503、第二运动支链504、第三运动支链505和第四运动支链506;运动平台501上设有三个圆柱副连接端,分别和三个运动支链(第一运动支链503、第二运动支链504、第三运动支链505)构成三个圆柱副C2、C6和C4,三个圆柱副轴线交于一公共点;固定基座502上设有三个圆柱副连接端,分别和三个运动支链(第一运动支链503、第二运动支链504、第三运动支链505)构成三个圆柱副C1、C5和C3,三个圆柱副轴线交于一公共点;第一运动支链503、第二运动支链504以及第三运动支链505结构相似,均由两个连杆组成;以第一运动支链503为例,包含有三个运动副,依次为C1、R1和C2,转动副R1和圆柱副C1构成下连杆,转动副R1和圆柱副C2构成上连杆,圆柱副C1与固定基座502相连,圆柱副C2与运动平台501相连,圆柱副C1和圆柱副C2轴线共面且与转动副R1交于一公共点;第四运动支链506为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座502相连,球副S2和运动平台501相连;其中,第一运动支链503中转动副R1的轴线,第二运动支链504中转动副R2的轴线以及第三运动支链505中转动副R3的轴线共面且形成对称面II。Embodiment 5 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Motion branch chain 505 and the 4th motion branch chain 506; The motion platform 501 is provided with three cylinder pair connection ends, respectively and three motion branch chains (the first motion branch chain 503, the second movement branch chain 504, the 3rd motion branch chain chain 505) constitutes three cylinder pairs C 2 , C 6 and C 4 , and the axes of the three cylinder pairs intersect at a common point; the fixed base 502 is provided with three connection ends of the cylinder pairs, respectively connected with the three kinematic branch chains (No. A kinematic branch chain 503, a second kinematic branch chain 504, and a third kinematic branch chain 505) constitute three cylinder pairs C 1 , C 5 and C 3 , and the axes of the three cylinder sub-chains intersect at a common point; the first kinematic branch chain 503, the second kinematic branch chain 504 and the third kinematic branch chain 505 are similar in structure, and are composed of two connecting rods; taking the first kinematic branch chain 503 as an example, it contains three kinematic pairs, which are C 1 , R 1 and C 2 , the rotating pair R 1 and the cylindrical pair C 1 constitute the lower link, the rotating pair R 1 and the cylindrical pair C 2 form the upper connecting rod, the cylindrical pair C 1 is connected to the fixed base 502, and the cylindrical pair C 2 is connected to the motion platform 501 Connected, the axes of cylinder pair C 1 and cylinder pair C 2 are coplanar and intersect with rotating pair R 1 at a common point; the fourth kinematic branch chain 506 is a central branch chain, consisting of only one connecting rod, including two ball pairs, S 1 and S 2 in sequence; the ball pair S 1 is connected to the fixed base 502, and the ball pair S 2 is connected to the motion platform 501; wherein, the axis of the rotating pair R 1 in the first kinematic branch chain 503, the second kinematic branch chain The axis of the revolving pair R2 in 504 and the axis of the revolving pair R3 in the third kinematic branch chain 505 are coplanar and form a plane of symmetry II.
本发明的二自由度等径球面纯滚并联转动机构的实施例六如图8所示,包括运动平台601、固定基座602、第一运动支链603、第二运动支链604、第三运动支链605和第四运动支链606;运动平台601上设有三个圆柱副连接端,分别和三个运动支链(第一运动支链603、第二运动支链604、第三运动支链605)构成三个圆柱副C2、C6和C4,三个圆柱副轴线交于一公共点;固定基座602上设有三个圆柱副连接端,分别和三个运动支链(第一运动支链603、第二运动支链604、第三运动支链605)构成三个圆柱副C1、C5和C3,三个圆柱副轴线交于一公共点;第一运动支链603、第二运动支链604以及第三运动支链605结构相似,均由两个连杆组成;以第一运动支链603为例,包含有三个运动副,依次为C1、S3和C2,球副S3和圆柱副C1构成下连杆,球副S3和圆柱副C2构成上连杆,圆柱副C1与固定基座602相连,圆柱副C2与运动平台601相连,圆柱副C1和圆柱副C2轴线共面且交于球副S3的中心点;第四运动支链606为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座602相连,球副S2和运动平台601相连;其中,第一运动支链603中球副S3的中心点,第二运动支链604中球副S5的中心点以及第三运动支链605中球副S4的中心点形成对称面II。Embodiment 6 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Motion branch chain 605 and the 4th motion branch chain 606; The motion platform 601 is provided with three cylinder pair connection ends, respectively and three motion branch chains (the first motion branch chain 603, the second motion branch chain 604, the 3rd motion branch chain Chain 605) constitutes three cylinder pairs C 2 , C 6 and C 4 , and the axes of the three cylinder pairs intersect at a common point; the fixed base 602 is provided with three connection ends of the cylinder pairs, respectively connected with the three kinematic branch chains (No. A kinematic branch chain 603, a second kinematic branch chain 604, and a third kinematic branch chain 605) constitute three cylinder pairs C 1 , C 5 and C 3 , and the axis lines of the three cylinder sub-chains intersect at a common point; the first kinematic branch chain 603, the second kinematic branch chain 604 and the third kinematic branch chain 605 are similar in structure, and are composed of two connecting rods; taking the first kinematic branch chain 603 as an example, it contains three kinematic pairs, which are C 1 , S 3 and C 2 , the ball pair S 3 and the cylindrical pair C 1 constitute the lower link, the ball pair S 3 and the cylindrical pair C 2 form the upper link, the cylindrical pair C 1 is connected to the fixed base 602, and the cylindrical pair C 2 is connected to the motion platform 601 The axes of the cylinder pair C 1 and the cylinder pair C 2 are coplanar and intersect at the center point of the ball pair S 3 ; the fourth kinematic branch chain 606 is a central branch chain, consisting of only one connecting rod, including two ball pairs, sequentially are S 1 and S 2 ; the ball pair S 1 is connected to the fixed base 602, and the ball pair S 2 is connected to the motion platform 601; wherein, the center point of the ball pair S 3 in the first motion branch chain 603, the second motion branch chain The center point of the ball pair S5 in 604 and the center point of the ball pair S4 in the third motion branch chain 605 form a plane of symmetry II.
本发明的二自由度等径球面纯滚并联转动机构的实施例七如图9所示,包括运动平台701、固定基座702、第一运动支链703、第二运动支链704、第三运动支链705和第四运动支链706;运动平台701上设有三个移动副连接端,分别和三个运动支链(第一运动支链703、第二运动支链704、第三运动支链705)构成三个移动副P2、P6和P4,三个移动副轴线交于一公共点;固定基座702上设有三个移动副连接端,分别和三个运动支链(第一运动支链703、第二运动支链704、第三运动支链705)构成三个移动副P1、P5和P3,三个移动副轴线交于一公共点;第一运动支链703、第二运动支链704以及第三运动支链705结构相似,均由两个连杆组成;以第一运动支链703为例,包含有三个运动副,依次为P1、S3和P2,球副S3和移动副P1构成下连杆,球副S3和移动副P2构成上连杆,移动副P1与固定基座702相连,移动副P2与运动平台701相连,移动副P1和移动副P2轴线共面且交于球副S3的中心点;第四运动支链706为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座702相连,球副S2和运动平台701相连;其中,第一运动支链703中球副S3的中心点,第二运动支链704中球副S5的中心点以及第三运动支链705中球副S4的中心点形成对称面II。Embodiment 7 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Motion branch chain 705 and the 4th motion branch chain 706; The motion platform 701 is provided with three mobile pairs connecting ends, respectively and three motion branch chains (the first motion branch chain 703, the second movement branch chain 704, the third movement branch chain Chain 705) constitutes three moving pairs P 2 , P 6 and P 4 , and the axes of the three moving pairs intersect at a common point; the fixed base 702 is provided with three connecting ends of moving pairs, which respectively connect with the three kinematic branch chains (No. A kinematic branch chain 703, a second kinematic branch chain 704, and a third kinematic branch chain 705) constitute three moving pairs P 1 , P 5 and P 3 , and the axes of the three moving pairs intersect at a common point; the first kinematic branch chain 703, the second kinematic branch chain 704 and the third kinematic branch chain 705 are similar in structure, and are composed of two connecting rods; taking the first kinematic branch chain 703 as an example, it includes three kinematic pairs, which are P 1 , S 3 and P 2 , the ball pair S 3 and the moving pair P 1 form the lower link, the ball pair S 3 and the moving pair P 2 form the upper link, the moving pair P 1 is connected to the fixed base 702, and the moving pair P 2 is connected to the motion platform 701 connected, the axes of the moving pair P 1 and the moving pair P 2 are coplanar and intersect at the center point of the ball pair S 3 ; the fourth kinematic branch chain 706 is a central branch chain, consisting of only one connecting rod, including two ball pairs, sequentially are S 1 and S 2 ; the ball pair S 1 is connected to the fixed base 702, and the ball pair S 2 is connected to the motion platform 701; wherein, the center point of the ball pair S 3 in the first motion branch chain 703, the second motion branch chain The center point of the ball pair S5 in 704 and the center point of the ball pair S4 in the third kinematic branch chain 705 form a plane of symmetry II.
本发明的二自由度等径球面纯滚并联转动机构的实施例八如图10所示,包括运动平台801、固定基座802、第一运动支链803、第二运动支链804、第三运动支链805和第四运动支链806;运动平台801上设有三个转动副连接端,分别和三个运动支链(第一运动支链803、第二运动支链804、第三运动支链805)构成三个转动副R3、R9和R6,三个转动副轴线交于一公共点;固定基座802上设有三个转动副连接端,分别和三个运动支链(第一运动支链803、第二运动支链804、第三运动支链805)构成三个转动副R1、R7和R4,三个转动副轴线交于一公共点;第一运动支链803、第二运动支链804以及第三运动支链805结构相似,均由四个连杆组成;以第一运动支链803为例,包含有五个运动副,依次为R1、P1、R2、P2和R3,转动副R1和移动副P1构成下连杆,转动副R2和移动副P1构成中连杆一,转动副R2和移动副P2构成中连杆二,转动副R3和移动副P2构成上连杆,转动副R1与固定基座802相连,转动副R3与运动平台801相连,移动副P1和移动副P2轴线共面且与转动副R2交于一公共点;第四运动支链806为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座802相连,球副S2和运动平台801相连;其中,第一运动支链803中转动副R2的轴线,第二运动支链804中转动副R8的轴线以及第三运动支链805中转动副R5的轴线共面且形成对称面II。The eighth embodiment of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in Figure 10, including a motion platform 801, a fixed base 802, a first motion branch chain 803, a second motion branch chain 804, a third Motion branch chain 805 and the 4th motion branch chain 806; The motion platform 801 is provided with three rotary pair connection ends, respectively and three motion branch chains (the first motion branch chain 803, the second movement branch chain 804, the 3rd movement branch chain chain 805) constitutes three revolving pairs R 3 , R 9 and R 6 , and the axes of the three revolving pairs intersect at a common point; the fixed base 802 is provided with three connecting ends of the revolving pairs, which respectively connect with the three kinematic branch chains (No. A kinematic branch chain 803, a second kinematic branch chain 804, and a third kinematic branch chain 805) constitute three revolving pairs R 1 , R 7 and R 4 , and the axes of the three revolving pairs intersect at a common point; the first kinematic branch chain 803, the second kinematic branch chain 804 and the third kinematic branch chain 805 are similar in structure, and are composed of four connecting rods; taking the first kinematic branch chain 803 as an example, it includes five kinematic pairs, which are R 1 , P 1 in turn , R 2 , P 2 and R 3 , the rotating pair R 1 and the moving pair P 1 form the lower link, the rotating pair R 2 and the moving pair P 1 form the middle link one, and the rotating pair R 2 and the moving pair P 2 form the middle link The second connecting rod, the rotating pair R3 and the moving pair P2 constitute the upper connecting rod, the rotating pair R1 is connected with the fixed base 802, the rotating pair R3 is connected with the motion platform 801, and the moving pair P1 and the moving pair P2 have a common axis surface and intersects with the revolving pair R 2 at a common point; the fourth kinematic branch chain 806 is a central branch chain, consisting of only one connecting rod, including two ball pairs, which are S 1 and S 2 in turn; ball pairs S 1 and The fixed base 802 is connected, and the ball pair S2 is connected with the motion platform 801; wherein, the axis of the revolving pair R 2 in the first kinematic branch chain 803, the axis of the revolving pair R8 in the second kinematic branch chain 804 and the third kinematic branch The axes of revolving pair R5 in chain 805 are coplanar and form plane II of symmetry.
本发明的二自由度等径球面纯滚并联转动机构的实施例九如图11所示,包括运动平台901、固定基座902、第一运动支链903、第二运动支链904、第三运动支链905和第四运动支链906;运动平台901上设有三个圆柱副连接端,分别和三个运动支链(第一运动支链903、第二运动支链904、第三运动支链905)构成三个圆柱副C1、C3和C2,三个圆柱副轴线交于一公共点;固定基座902上设有三个移动副连接端,分别和三个运动支链(第一运动支链903、第二运动支链904、第三运动支链905)构成三个移动副P1、P3和P2,三个移动副轴线交于一公共点;第一运动支链903、第二运动支链904以及第三运动支链905结构相似,均由两个连杆组成;以第一运动支链903为例,包含有三个运动副,依次为P1、S3和C1,球副S3和移动副P1构成下连杆,球副S3和圆柱副C1构成上连杆,移动副P1与固定基座902相连,圆柱副C1与运动平台901相连,移动副P1和圆柱副C1轴线共面且交于球副S3的中心点;第四运动支链906为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座902相连,球副S2和运动平台901相连;其中,第一运动支链903中球副S3的中心点,第二运动支链904中球副S5的中心点以及第三运动支链905中球副S4的中心点形成对称面II。Embodiment 9 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in Figure 11, including a motion platform 901, a fixed base 902, a first motion branch chain 903, a second motion branch chain 904, a third Motion branch chain 905 and the 4th motion branch chain 906; The motion platform 901 is provided with three cylinder pair connection ends, respectively and three motion branch chains (the first motion branch chain 903, the second movement branch chain 904, the 3rd motion branch chain Chain 905) constitutes three cylinder pairs C 1 , C 3 and C 2 , and the axis lines of the three cylinder pairs intersect at a common point; the fixed base 902 is provided with three moving pair connection ends, which respectively connect with the three kinematic branch chains (No. A kinematic branch chain 903, a second kinematic branch chain 904, and a third kinematic branch chain 905) constitute three moving pairs P 1 , P 3 and P 2 , and the axes of the three moving pairs intersect at a common point; the first kinematic branch chain 903, the second kinematic branch chain 904 and the third kinematic branch chain 905 are similar in structure, and are composed of two connecting rods; taking the first kinematic branch chain 903 as an example, it includes three kinematic pairs, which are P 1 , S 3 and C 1 , the ball pair S 3 and the moving pair P 1 form the lower link, the ball pair S 3 and the cylindrical pair C 1 form the upper link, the moving pair P 1 is connected to the fixed base 902, and the cylindrical pair C 1 is connected to the motion platform 901 connected, the axes of the moving pair P 1 and the cylindrical pair C 1 are coplanar and intersect at the center point of the ball pair S 3 ; the fourth kinematic branch chain 906 is a central branch chain, consisting of only one connecting rod, including two ball pairs, sequentially are S 1 and S 2 ; the ball pair S 1 is connected to the fixed base 902, and the ball pair S 2 is connected to the motion platform 901; wherein, the center point of the ball pair S 3 in the first motion branch chain 903, the second motion branch chain The center point of the ball pair S5 in 904 and the center point of the ball pair S4 in the third motion branch chain 905 form a plane of symmetry II.
本发明的二自由度等径球面纯滚并联转动机构的实施例十如图12所示,包括运动平台1001、固定基座1002、第一运动支链1003、第二运动支链1004、第三运动支链1005和第四运动支链1006;运动平台1001上设有三个圆柱副连接端,分别和三个运动支链(第一运动支链1003、第二运动支链1004、第三运动支链1005)构成三个圆柱副C1、C3和C2,三个圆柱副轴线交于一公共点;固定基座1002上设有三个移动副连接端,分别和三个运动支链(第一运动支链1003、第二运动支链1004、第三运动支链1005)构成三个移动副P1、P3和P2,三个移动副轴线交于一公共点;第一运动支链1003、第二运动支链1004以及第三运动支链1005结构相似,均由两个连杆组成;以第一运动支链1003为例,包含有三个运动副,依次为P1、U1和C1,万向节副U1和移动副P1构成下连杆,万向节副U1和圆柱副C1构成上连杆,移动副P1与固定基座1002相连,圆柱副C1与运动平台1001相连,移动副P1和圆柱副C1轴线共面且交于万向节副U1的中心点;第四运动支链1006为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座1002相连,球副S2和运动平台1001相连;其中,第一运动支链1003中万向节副U1的中心点,第二运动支链1004中万向节副U3的中心点以及第三运动支链1005中万向节副U2的中心点形成对称面II。Embodiment 10 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Motion branch chain 1005 and the 4th motion branch chain 1006; The motion platform 1001 is provided with three cylinder pairs connecting ends, and three motion branch chains (the first motion branch chain 1003, the second motion branch chain 1004, the 3rd motion branch chain respectively) Chain 1005) constitutes three cylinder pairs C 1 , C 3 and C 2 , and the axis lines of the three cylinder pairs intersect at a common point; the fixed base 1002 is provided with three moving pair connection ends, which respectively connect with the three kinematic branch chains (No. A kinematic branch chain 1003, a second kinematic branch chain 1004, and a third kinematic branch chain 1005) constitute three moving pairs P 1 , P 3 and P 2 , and the axes of the three moving pairs intersect at a common point; the first kinematic branch chain 1003, the second kinematic branch chain 1004 and the third kinematic branch chain 1005 are similar in structure, and are composed of two connecting rods; taking the first kinematic branch chain 1003 as an example, it includes three kinematic pairs, which are P 1 , U 1 and C 1 , the universal joint pair U 1 and the moving pair P 1 form the lower link, the universal joint pair U 1 and the cylindrical pair C 1 form the upper link, the moving pair P 1 is connected with the fixed base 1002, and the cylindrical pair C 1 Connected with the motion platform 1001, the axes of the moving pair P 1 and the cylindrical pair C 1 are coplanar and intersect at the center point of the universal joint pair U 1 ; the fourth motion branch chain 1006 is a central branch chain, consisting of only one connecting rod, including Two ball pairs, S 1 and S 2 in turn; the ball pair S 1 is connected to the fixed base 1002, and the ball pair S 2 is connected to the motion platform 1001; among them, the universal joint pair U 1 in the first motion branch chain 1003 The center point, the center point of the universal joint pair U 3 in the second kinematic branch 1004 and the center point of the universal joint U 2 in the third kinematic branch 1005 form a plane of symmetry II.
本发明的二自由度等径球面纯滚并联转动机构的实施例十一如图13所示,包括运动平台1101、固定基座1102、第一运动支链1103、第二运动支链1104、第三运动支链1105和第四运动支链1106;运动平台1101上设有三个移动副连接端,分别和三个运动支链(第一运动支链1103、第二运动支链1104、第三运动支链1105)构成三个移动副P2、P6和P4,三个移动副轴线交于一公共点;固定基座1102上设有三个移动副连接端,分别和三个运动支链(第一运动支链1103、第二运动支链1104、第三运动支链1105)构成三个移动副P1、P5和P3,三个移动副轴线交于一公共点;第一运动支链1103、第二运动支链1104以及第三运动支链1105结构相似,均由四个连杆组成;以第一运动支链1103为例,包含有五个运动副,依次为P1、R1、R2、R3和P2,转动副R1和移动副P1构成下连杆,转动球副R2和转动副R1构成中连杆一,转动副R2和转动副R3构成中连杆二,转动副R3和移动副P2构成上连杆,转动副R1、R2和R3的轴线交于R2轴线上一公共点,移动副P1与固定基座1102相连,移动副P2与运动平台1101相连,移动副P1和移动副P2轴线共面且交于转动副R1、R2和R3轴线的公共点;第四运动支链1106为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座1102相连,球副S2和运动平台1101相连;其中,第一运动支链1103中转动副R2的轴线,第二运动支链1104中转动副R8的轴线以及第三运动支链1105中转动副R5的轴线形成对称面II。The eleventh embodiment of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Three kinematic branch chains 1105 and the fourth kinematic branch chain 1106; the motion platform 1101 is provided with three mobile pair connection ends, respectively connected with three kinematic branch chains (the first kinematic branch chain 1103, the second kinematic branch chain 1104, the third kinematic branch chain Branch chain 1105) constitutes three moving pairs P 2 , P 6 and P 4 , and the axis lines of the three moving pairs intersect at a common point; the fixed base 1102 is provided with three moving pair connecting ends, respectively connected with the three moving branch chains ( The first kinematic branch chain 1103, the second kinematic branch chain 1104, and the third kinematic branch chain 1105) constitute three moving pairs P 1 , P 5 and P 3 , and the axes of the three moving pairs intersect at a common point; the first moving branch The chain 1103, the second kinematic branch chain 1104 and the third kinematic branch chain 1105 are similar in structure, and are all composed of four connecting rods; taking the first kinematic branch chain 1103 as an example, it includes five kinematic pairs, which are P 1 , R 1 , R 2 , R 3 and P 2 , the rotating pair R 1 and the moving pair P 1 form the lower link, the rotating ball pair R 2 and the rotating pair R 1 form the middle connecting rod 1, the rotating pair R 2 and the rotating pair R 3 It constitutes the second connecting rod, the rotating pair R 3 and the moving pair P 2 constitute the upper connecting rod, the axes of the rotating pairs R 1 , R 2 and R 3 intersect at a common point on the R 2 axis, and the moving pair P 1 and the fixed base 1102 is connected, the moving pair P2 is connected with the motion platform 1101, the axes of the moving pair P1 and the moving pair P2 are coplanar and intersect at the common point of the axes of the rotating pairs R1, R2 and R3 ; the fourth kinematic branch chain 1106 is The central branch chain consists of only one connecting rod, including two ball pairs, S 1 and S 2 in turn; the ball pair S 1 is connected to the fixed base 1102, and the ball pair S 2 is connected to the motion platform 1101; among them, the first The axis of the revolving pair R 2 in the kinematic branch 1103 , the axis of the revolving pair R 8 in the second kinematic branch 1104 and the axis of the revolving pair R 5 in the third kinematic branch 1105 form a plane of symmetry II.
本发明的二自由度等径球面纯滚并联转动机构的实施例十二如图14所示,包括运动平台1201、固定基座1202、第一运动支链1203、第二运动支链1204、第三运动支链1205和第四运动支链1206;运动平台1201上设有三个万向节副连接端,分别和三个运动支链(第一运动支链1203、第二运动支链1204、第三运动支链1205)构成三个万向节副U2、U6和U4;固定基座1202上设有三个万向节副连接端,分别和三个运动支链(第一运动支链1203、第二运动支链1204、第三运动支链1205)构成三个万向节副U1、U5和U3;第一运动支链1203、第二运动支链1204以及第三运动支链1205结构相似,均由两个连杆组成;以第一运动支链1203为例,包含有三个运动副,依次为U1、R1和U2,转动副R1和万向节副U1构成下连杆,转动副R1和万向节副U2构成上连杆,万向节副U1与固定基座1202相连,万向节副U2与运动平台1201相连;第四运动支链1206为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座1202相连,球副S2和运动平台1201相连;其中,第一运动支链1203中转动副R1的轴线,第二运动支链1204中转动副R3的轴线以及第三运动支链1205中转动副R2的轴线形成对称面II。Embodiment 12 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Three kinematic branch chains 1205 and the fourth kinematic branch chain 1206; the kinematic platform 1201 is provided with three universal joint pair connection ends, which are connected with three kinematic branch chains (the first kinematic branch chain 1203, the second kinematic branch chain 1204, the second kinematic branch chain 1204, and the third kinematic branch chain respectively). Three kinematic branch chains 1205) constitute three universal joint pairs U 2 , U 6 and U 4 ; three universal joint pair connection ends are provided on the fixed base 1202, which are respectively connected with the three kinematic branch chains (the first kinematic branch chain 1203, the second kinematic branch chain 1204, and the third kinematic branch chain 1205) constitute three universal joint pairs U 1 , U 5 and U 3 ; the first kinematic branch chain 1203, the second kinematic branch chain 1204 and the third kinematic branch chain The chain 1205 has a similar structure and is composed of two connecting rods; taking the first kinematic branch chain 1203 as an example, it includes three kinematic pairs, which are U 1 , R 1 and U 2 , the revolving pair R 1 and the universal joint U 1 constitutes the lower link, the rotating pair R 1 and the universal joint U 2 constitute the upper link, the universal joint U 1 is connected with the fixed base 1202, and the universal joint U 2 is connected with the motion platform 1201; the fourth motion The branch chain 1206 is a central branch chain, consisting of only one connecting rod, including two ball pairs, S1 and S2 in turn ; the ball pair S1 is connected to the fixed base 1202, and the ball pair S2 is connected to the motion platform 1201 ; Among them, the axis of the revolving pair R1 in the first kinematic branch chain 1203, the axis of the revolving pair R3 in the second kinematic branch chain 1204 and the axis of the revolving pair R2 in the third kinematic branch chain 1205 form a symmetry plane II.
本发明的二自由度等径球面纯滚并联转动机构的实施例十三如图15所示,包括运动平台1301、固定基座1302、第一运动支链1303、第二运动支链1304、第三运动支链1305和第四运动支链1306;运动平台1301上设有三个圆柱副连接端,分别和三个运动支链(第一运动支链1303、第二运动支链1304、第三运动支链1305)构成三个圆柱副C2、C6和C4,三个圆柱副轴线交于一公共点;固定基座1302上设有三个圆柱副连接端,分别和三个运动支链(第一运动支链1303、第二运动支链1304、第三运动支链1305)构成三个圆柱副C1、C5和C3,三个圆柱副轴线交于一公共点;第一运动支链1303、第二运动支链1304以及第三运动支链1305结构相似,均由两个连杆组成;以第一运动支链1303为例,包含有三个运动副,依次为C1、U1和C2,万向节副U1和圆柱副C1构成下连杆,万向节副U1和圆柱副C2构成上连杆,圆柱副C1与固定基座1302相连,圆柱副C2与运动平台1301相连,圆柱副C1和圆柱副C2轴线共面且交于万向节副U1的中心点;第四运动支链1306为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座1302相连,球副S2和运动平台1301相连;其中,第一运动支链1303中万向节副U1的中心点,第二运动支链1304中万向节副U3的中心点以及第三运动支链1305中万向节副U2的中心点形成对称面II。Embodiment 13 of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Three kinematic branch chains 1305 and the fourth kinematic branch chain 1306; the motion platform 1301 is provided with three cylinder pairs connecting ends, which are respectively connected with three kinematic branch chains (the first kinematic branch chain 1303, the second kinematic branch chain 1304, the third kinematic branch chain Branch chain 1305) constitutes three cylinder pairs C 2 , C 6 and C 4 , and the axis lines of the three cylinder pairs intersect at a common point; the fixed base 1302 is provided with three cylinder pair connection ends, respectively connected with the three kinematic branch chains ( The first kinematic branch chain 1303, the second kinematic branch chain 1304, and the third kinematic branch chain 1305) constitute three cylinder pairs C 1 , C 5 and C 3 , and the three cylinder auxiliary axes intersect at a common point; the first kinematic branch The chain 1303, the second kinematic branch chain 1304 and the third kinematic branch chain 1305 are similar in structure, and are composed of two connecting rods; taking the first kinematic branch chain 1303 as an example, it contains three kinematic pairs, which are C 1 , U 1 and C 2 , the universal joint pair U 1 and the cylindrical pair C 1 constitute the lower link, the universal joint U 1 and the cylindrical pair C 2 form the upper link, the cylindrical pair C 1 is connected with the fixed base 1302, and the cylindrical pair C 2 is connected with the motion platform 1301, the axes of the cylinder pair C 1 and the cylinder pair C 2 are coplanar and intersect at the center point of the universal joint pair U 1 ; the fourth motion branch chain 1306 is the center branch chain, consisting of only one connecting rod, Contains two ball pairs, S 1 and S 2 in sequence; the ball pair S 1 is connected to the fixed base 1302, and the ball pair S 2 is connected to the motion platform 1301; among them, the universal joint pair U 1 in the first motion branch chain 1303 , the center point of the universal joint pair U3 in the second kinematic branch chain 1304 and the center point of the universal joint pair U2 in the third kinematic branch chain 1305 form a plane of symmetry II.
本发明的二自由度等径球面纯滚并联转动机构的实施例十四如图16所示,包括运动平台1401、固定基座1402、第一运动支链1403、第二运动支链1404、第三运动支链1405和第四运动支链1406;运动平台1401上设有三个转动副连接端,分别和三个运动支链(第一运动支链1403、第二运动支链1404、第三运动支链1405)构成三个转动副R3、R9和R6,三个转动副轴线交于一公共点;固定基座1402上设有三个转动副连接端,分别和三个运动支链(第一运动支链1403、第二运动支链1404、第三运动支链1405)构成三个转动副R1、R7和R4,三个转动副轴线交于一公共点;第一运动支链1403、第二运动支链1404以及第三运动支链1405结构相似,均由四个连杆组成;以第一运动支链1403为例,包含有五个运动副,依次为R1、Pa1、R2、Pa2和R3,转动副R1和平行四杆副Pa1构成下连杆,转动副R2和平行四杆副Pa1构成中连杆一,转动副R2和平行四杆副Pa2构成中连杆二,转动副R3和平行四杆副Pa2构成上连杆,转动副R1与固定基座1402相连,转动副R3与运动平台1401相连,平行四杆副Pa1和平行四杆副Pa2轴线共面且与转动副R2交于一公共点;第四运动支链1406为中心支链,仅由一个连杆组成,包含两个球副,依次为S1和S2;球副S1和固定基座1402相连,球副S2和运动平台1401相连;其中,第一运动支链1403中转动副R2的轴线,第二运动支链1404中转动副R8的轴线以及第三运动支链1405中转动副R5的轴线形成对称面II。The fourteenth embodiment of the two-degree-of-freedom equal-diameter spherical pure rolling parallel rotation mechanism of the present invention is shown in FIG. Three kinematic branch chains 1405 and the fourth kinematic branch chain 1406; the motion platform 1401 is provided with three rotating pair connection ends, which are respectively connected with three kinematic branch chains (the first kinematic branch chain 1403, the second kinematic branch chain 1404, the third kinematic branch chain Branch chain 1405) constitutes three revolving pairs R 3 , R 9 and R 6 , and the axes of the three revolving pairs intersect at a common point; the fixed base 1402 is provided with three revolving pair connection ends, respectively connected with the three kinematic branch chains ( The first kinematic branch chain 1403, the second kinematic branch chain 1404, and the third kinematic branch chain 1405) constitute three revolving pairs R 1 , R 7 and R 4 , and the axes of the three revolving pairs intersect at a common point; the first kinematic branch The chain 1403, the second kinematic branch chain 1404 and the third kinematic branch chain 1405 are similar in structure, and are all composed of four connecting rods; taking the first kinematic branch chain 1403 as an example, it contains five kinematic pairs, which are R 1 , Pa 1 , R 2 , Pa 2 and R 3 , the rotation pair R 1 and the parallel four-bar pair Pa 1 constitute the lower link, the rotation pair R 2 and the parallel four-bar pair Pa 1 constitute the first connecting rod, the rotation pair R 2 and the parallel The four-bar pair Pa 2 constitutes the second connecting rod, the revolving pair R 3 and the parallel four-bar pair Pa 2 constitute the upper connecting rod, the revolving pair R 1 is connected with the fixed base 1402, the revolving pair R 3 is connected with the motion platform 1401, and the parallel four The axes of the rod pair Pa 1 and the parallel quadruple pair Pa 2 are coplanar and intersect with the rotating pair R 2 at a common point; the fourth kinematic branch chain 1406 is a central branch chain, consisting of only one connecting rod, including two ball pairs, S 1 and S 2 in sequence; the ball pair S 1 is connected to the fixed base 1402, and the ball pair S 2 is connected to the motion platform 1401; among them, the axis of the rotating pair R 2 in the first kinematic branch chain 1403, the second kinematic branch chain The axis of the revolving pair R8 in 1404 and the axis of the revolving pair R5 in the third kinematic branch chain 1405 form a plane of symmetry II.
上述实施例三和实施例四的第四运动支链也可以采用两端均为球副S的中心运动支链;The fourth kinematic branch chain of the above-mentioned embodiment three and embodiment four may also adopt a central kinematic branch chain whose two ends are ball pairs S;
上述实施例五、实施例六、实施例七、实施例八、实施例九、实施例十、实施例十一、实施例十二、实施例十三和实施例十四的第四运动支链也可以采用一端为球副S,另一端为万向节副U的中心运动支链;The fourth kinematic branch chain of the above-mentioned embodiment five, embodiment six, embodiment seven, embodiment eight, embodiment nine, embodiment ten, embodiment eleven, embodiment twelve, embodiment thirteen and embodiment fourteen It is also possible to use a central motion branch chain with a ball pair S at one end and a universal joint pair U at the other end;
上述实施例六、实施例九和实施例十三中运动支链含有冗余自由度,有利于并联机构的安装及装配;The kinematic branch chains in Embodiment 6, Embodiment 9 and Embodiment 13 contain redundant degrees of freedom, which is beneficial to the installation and assembly of parallel mechanisms;
上述实施例中相似的运动支链可以有不相同的连杆尺寸,只要满足同一运动支链中连杆尺寸关于对称面对称条件即可;Similar kinematic branch chains in the above embodiments may have different connecting rod sizes, as long as the connecting rod size in the same kinematic branch chain is symmetrical about the symmetry plane;
上述实施例中每个运动支链均含有一个对称面,且每个实施例中的各个运动支链对称面相互重合。In the above embodiments, each kinematic branch chain has a symmetry plane, and the symmetry planes of the kinematic branch chains in each embodiment coincide with each other.
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