CN105538301B - Single-degree-of-freedom moves polycyclic symmetrical coupled mechanism - Google Patents
Single-degree-of-freedom moves polycyclic symmetrical coupled mechanism Download PDFInfo
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- 230000007246 mechanism Effects 0.000 title claims abstract description 36
- 125000003367 polycyclic group Chemical group 0.000 title 1
- 230000008878 coupling Effects 0.000 claims abstract description 57
- 238000010168 coupling process Methods 0.000 claims abstract description 57
- 238000005859 coupling reaction Methods 0.000 claims abstract description 57
- PCTMTFRHKVHKIS-BMFZQQSSSA-N (1s,3r,4e,6e,8e,10e,12e,14e,16e,18s,19r,20r,21s,25r,27r,30r,31r,33s,35r,37s,38r)-3-[(2r,3s,4s,5s,6r)-4-amino-3,5-dihydroxy-6-methyloxan-2-yl]oxy-19,25,27,30,31,33,35,37-octahydroxy-18,20,21-trimethyl-23-oxo-22,39-dioxabicyclo[33.3.1]nonatriaconta-4,6,8,10 Chemical compound C1C=C2C[C@@H](OS(O)(=O)=O)CC[C@]2(C)[C@@H]2[C@@H]1[C@@H]1CC[C@H]([C@H](C)CCCC(C)C)[C@@]1(C)CC2.O[C@H]1[C@@H](N)[C@H](O)[C@@H](C)O[C@H]1O[C@H]1/C=C/C=C/C=C/C=C/C=C/C=C/C=C/[C@H](C)[C@@H](O)[C@@H](C)[C@H](C)OC(=O)C[C@H](O)C[C@H](O)CC[C@@H](O)[C@H](O)C[C@H](O)C[C@](O)(C[C@H](O)[C@H]2C(O)=O)O[C@H]2C1 PCTMTFRHKVHKIS-BMFZQQSSSA-N 0.000 claims description 2
- 238000012423 maintenance Methods 0.000 abstract description 4
- 238000010586 diagram Methods 0.000 description 2
- 238000013329 compounding Methods 0.000 description 1
- 239000012636 effector Substances 0.000 description 1
- 230000007613 environmental effect Effects 0.000 description 1
- 238000000034 method Methods 0.000 description 1
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Programme-controlled manipulators
- B25J9/08—Programme-controlled manipulators characterised by modular constructions
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Programme-controlled manipulators
- B25J9/02—Programme-controlled manipulators characterised by movement of the arms, e.g. cartesian coordinate type
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Abstract
单自由度移动多环对称耦合机构,根据空间多面体ABCDA’的所有棱边和顶点的几何结构特点,用九个杆组连接两个正三角形构件和三个正四边形构件得到耦合机构。每个正三角形构件上的三个转动副轴线均位于三角形平面内,且相邻轴线之间的夹角均为60°。每个正四边形构件的四个转动副轴线均位于构件本身所在平面内,且相邻转动副轴线相互垂直,对边轴线相互平行。每个杆组由两个二副杆串联得到,所述二副杆均为结构相同的同一类连接杆件,每个二副杆包含的两个连接运动副均为转动副,并且这两个转动副轴线相平行。该机构具有刚度大,承载能力强,运动平稳,结构简单,装配和维修方便的特点,为国内企业及研究机构提供专利信息和技术支持。
The single-degree-of-freedom mobile multi-ring symmetric coupling mechanism, according to the geometric structure characteristics of all edges and vertices of the space polyhedron ABCDA', uses nine rod groups to connect two regular triangle components and three regular quadrilateral components to obtain a coupling mechanism. The axes of the three rotation pairs on each regular triangular member are located in the triangular plane, and the included angles between adjacent axes are all 60°. The axes of the four revolving pairs of each regular quadrilateral member are located in the plane of the member itself, and the axes of adjacent revolving pairs are perpendicular to each other, and the axes of opposite sides are parallel to each other. Each rod group is obtained by connecting two secondary rods in series. The two secondary rods are the same type of connecting rods with the same structure. The axes of rotation are parallel. The mechanism has the characteristics of high rigidity, strong bearing capacity, stable movement, simple structure, convenient assembly and maintenance, and provides patent information and technical support for domestic enterprises and research institutions.
Description
技术领域technical field
本发明是一种对称耦合机构,涉及机构学应用技术领域,尤其涉及了一种具有单自由度移动的机器人执行机构。The invention relates to a symmetrical coupling mechanism, relates to the technical field of mechanism application, and in particular relates to a robot actuator with single-degree-of-freedom movement.
背景技术Background technique
随着机构由简单向复杂、平面向空间、单环向多环的不断发展,机构创新始终是机器装备创新的关键和研究热点。在一些高强度、重载场合,用工业机械臂代替人力劳动的现象十分普遍。这些场合往往要求机械臂的执行机构强度高,结构简单,成本低,维修方便,并且末端执行构件运动平稳,容易控制的特点。现有的并联机构具有承载能力强,刚度大,惯性低等优点,但是工作空间有限;串联机构工作空间大,结构简单灵巧,但强度低,不适用于重载场合;混联机构将串联与并联机构进行有效的复合,同时突破各自结构的缺点,但是混联机构的机架和末端执行器间的连接通常是以在并联机构上添加一个连接上下平台的串联机械手的形式存在,这就使整个机构获得较大工作空间的同时,自身的体积不够灵巧轻便,这给机构的装配,运输以及执行带来不便。With the continuous development of mechanisms from simple to complex, from plane to space, and from single loop to multiple loops, mechanism innovation has always been the key and research hotspot of machine equipment innovation. In some high-intensity and heavy-duty occasions, it is very common to replace human labor with industrial mechanical arms. These occasions often require the actuator of the mechanical arm to have high strength, simple structure, low cost, convenient maintenance, and the characteristics of smooth movement and easy control of the end actuator. The existing parallel mechanism has the advantages of strong bearing capacity, high rigidity, and low inertia, but the working space is limited; the series mechanism has a large working space, simple and smart structure, but low strength, and is not suitable for heavy-duty occasions; the hybrid mechanism combines series and Parallel mechanisms perform effective compounding while breaking through the shortcomings of their respective structures. However, the connection between the frame of the hybrid mechanism and the end effector usually exists in the form of adding a series manipulator connected to the upper and lower platforms on the parallel mechanism, which makes While the whole mechanism obtains a large working space, its own volume is not flexible and light enough, which brings inconvenience to the assembly, transportation and execution of the mechanism.
发明内容Contents of the invention
基于以上背景,本发明提供了一种可作为移动机器人执行机构的单自由度移动对称耦合机构,该机构具有刚度大,承载能力强,运动平稳,结构简单,装配和维修方便的特点,为国内企业及研究机构提供专利信息和技术支持。Based on the above background, the present invention provides a single-degree-of-freedom mobile symmetrical coupling mechanism that can be used as an actuator of a mobile robot. This mechanism has the characteristics of high rigidity, strong bearing capacity, stable movement, simple structure, and convenient assembly and maintenance. Enterprises and research institutions provide patent information and technical support.
为实现上述目的,本发明基于正多面体结构组成框架的特点,采用一种具有单自由度移动对称耦合机构的技术方案。根据组成正多面体几何要素的特点,选择两个结构尺寸完全相同的正四面体ABCD和A’B’C’D’,选择将这两个正四面体各自包含的正三角形面BCD和B’C’D’重合,得到新的空间多面体ABCDA’或A B’C’D’A’,其中B与B’重合、C与C’重合、D与D’重合。用三个正四边形构件分别代替B’、C’和D’,用正三角形构件代替A和A’,用九个两杆三转动副杆组代替空间多面体的九条棱边,下述方案的两杆三转动副杆组简称为杆组;根据空间多面体ABCDA’的所有棱边和顶点的几何结构特点,用九个杆组连接两个正三角形构件和三个正四边形构件得到耦合机构。每个正三角形构件上的三个转动副轴线均位于三角形平面内,且相邻轴线之间的夹角均为60°。每个正四边形构件的四个转动副轴线均位于构件本身所在平面内,且相邻转动副轴线相互垂直,对边轴线相互平行。每个杆组由两个二副杆串联得到,所述二副杆均为结构相同的同一类连接杆件,每个二副杆包含的两个连接运动副均为转动副,并且这两个转动副轴线相平行。In order to achieve the above purpose, the present invention adopts a technical solution with a single degree of freedom moving symmetrical coupling mechanism based on the characteristics of the framework composed of regular polyhedral structures. According to the characteristics of the geometric elements that make up the regular polyhedron, select two regular tetrahedrons ABCD and A'B'C'D' with exactly the same structure size, and select the regular triangular faces BCD and B'C contained in these two regular tetrahedrons respectively 'D' coincides to obtain a new space polyhedron ABCDA' or A B'C'D'A', where B coincides with B', C coincides with C', and D coincides with D'. Replace B', C', and D' with three regular quadrilateral members, replace A and A' with regular triangular members, and replace nine edges of the space polyhedron with nine two-bar and three-rotation sub-bar groups. The rod group with three rotating pairs is referred to as the rod group for short; according to the geometric structure characteristics of all the edges and vertices of the space polyhedron ABCDA', nine rod groups are used to connect two regular triangular components and three regular quadrilateral components to obtain a coupling mechanism. The axes of the three rotation pairs on each regular triangular member are located in the triangular plane, and the included angles between adjacent axes are all 60°. The axes of the four revolving pairs of each regular quadrilateral member are located in the plane of the member itself, and the axes of adjacent revolving pairs are perpendicular to each other, and the axes of opposite sides are parallel to each other. Each rod group is obtained by connecting two secondary rods in series. The two secondary rods are the same type of connecting rods with the same structure. The axes of rotation are parallel.
该机构包括机架(N1)、动平台(N5)以及连接机架与动平台的三条分支和三个耦合杆组。三个分支包括第一分支、第二分支、第三分支。三个耦合杆组包括第一耦合杆组、第二耦合杆组、第三耦合杆组。每个耦合杆组与其中两个分支连接,三个分支和三个耦合杆组间隔连接形成网状耦合结构,将每个分支中连接耦合杆组的三个正四边形构件均定义为节点构件,分别为第一节点构件(N4)、第二节点构件(N2)和第三节点构件(N3)。The mechanism includes a frame (N1), a moving platform (N5), three branches connecting the frame and the moving platform, and three coupling rod groups. The three branches include the first branch, the second branch and the third branch. The three coupling rod groups include a first coupling rod group, a second coupling rod group and a third coupling rod group. Each coupling rod group is connected with two branches, and three branches and three coupling rod groups are connected at intervals to form a network coupling structure. The three regular quadrilateral members connecting the coupling rod groups in each branch are defined as node members. Respectively, the first node member (N4), the second node member (N2) and the third node member (N3).
第一分支包括机架的第一转动副(R11)、第一杆组(L1)、节点构件一的第一转动副(R41)、节点构件一的第四转动副(R44)、第七杆组(L7)、动平台第一转动副(R51);第一杆组(L1)与机架(N1)通过机架的第一转动副(R11)连接,第一杆组(L1)与节点构件一(N4)通过节点构件一的第一转动副(R41)连接,第七杆组(L7)与节点构件一(N4)通过节点构件一的第四转动副(R44)连接;其中第一杆组(L1)的组成表示为简单串联运动链-R11-R1-R41-,第七杆组(L7)的组成表示为简单串联运动链-R44-R7-R51-。The first branch includes the first revolving pair (R11) of the frame, the first rod group (L1), the first revolving pair (R41) of node member one, the fourth revolving pair (R44) of node member one, the seventh rod group (L7), the first revolving pair of the moving platform (R51); the first rod group (L1) is connected with the frame (N1) through the first revolving pair (R11) of the frame, Component one (N4) is connected through the first revolving pair (R41) of node component one, and the seventh rod group (L7) is connected with node component one (N4) through the fourth revolving pair (R44) of node component one; wherein the first The composition of the rod set (L1) is represented as a simple serial kinematic chain -R11-R1-R41-, and the composition of the seventh rod group (L7) is represented as a simple serial kinematic chain -R44-R7-R51-.
第二分支包括机架的第二转动副(R12)、第二杆组(L2)、节点构件二的第二转动副(R22)、节点构件二的第四转动副(R24)、第八杆组(L8)、动平台第二转动副(R52);第二杆组(L2)与机架(N1)通过机架的第二转动副(R12)连接,第二杆组(L2)与节点构件二(N2)通过节点构件二的第二转动副(R22)连接,第八杆组(L8)与节点构件二(N2)通过节点构件二的第四转动副(R24)连接;其中第二杆组(L2)的组成表示为简单串联运动链-R12-R2-R22-,第八杆组(L8)的组成表示为简单串联运动链-R24-R8-R52-。The second branch includes the second revolving pair (R12) of the frame, the second rod group (L2), the second revolving pair (R22) of the second node member, the fourth revolving pair (R24) of the second node member, the eighth rod group (L8), the second revolving pair (R52) of the moving platform; the second rod group (L2) is connected to the frame (N1) through the second revolving pair (R12) of the frame, and the second rod group (L2) is connected to the node Component 2 (N2) is connected through the second revolving pair (R22) of node component 2, and the eighth rod group (L8) is connected with node component 2 (N2) through the fourth revolving pair (R24) of node component 2; the second The composition of the rod set (L2) is represented as a simple serial kinematic chain -R12-R2-R22-, and the composition of the eighth rod group (L8) is represented as a simple serial kinematic chain -R24-R8-R52-.
第三分支包括机架的第三转动副(R13)、第三杆组(L3)、节点构件三的第三转动副(R33)、节点构件三的第四转动副(R34)、第九杆组(L9)、动平台第三转动副(R53);第三杆组(L3)与机架(N1)通过机架的第三转动副(R13)连接,第三杆组(L3)与节点构件三(N3)通过节点构件三的第三转动副(R33)连接,第九杆组(L9)与节点构件三(N3)通过节点构件三的第四转动副(R34)连接;其中,第三杆组(L3)的组成表示为简单串联运动链-R13-R3-R33-,第九杆组(L9)的组成表示为简单串联运动链-R34-R9-R53-。The third branch includes the third revolving pair (R13) of the frame, the third rod group (L3), the third revolving pair (R33) of the node member three, the fourth revolving pair (R34) of the node member three, the ninth rod group (L9), the third rotating pair (R53) of the moving platform; the third rod group (L3) is connected to the frame (N1) through the third rotating pair (R13) of the frame, and the third rod group (L3) is connected to the node Component three (N3) is connected through the third revolving pair (R33) of the node component three, and the ninth rod group (L9) is connected with the node component three (N3) through the fourth revolving pair (R34) of the node component three; wherein, the The composition of the three-bar group (L3) is represented as a simple serial kinematic chain -R13-R3-R33-, and the composition of the ninth rod group (L9) is represented as a simple serial kinematic chain-R34-R9-R53-.
选择正三角形构件(N5)为动平台,第一分支通过动平台的第一转动副(R51)连接到动平台(N5),第二分支通过动平台的第二转动副(R52)连接到动平台(N5),第三分支通过动平台的第三转动副(R53)连接到动平台(N5),所述三个分支并联到动平台(N5)上。另外,第一分支节点构件一(N4)和第二分支节点构件二(N2)之间通过第一耦合杆组(M1)耦合连接,第二分支节点构件二(N2)和第三分支节点构件三(N3)之间通过第二耦合杆组(M2)耦合连接,第三分支节点构件三(N3)和第一分支节点构件一(N4)之间通过第三耦合杆组(M3)耦合连接。其中第一耦合杆组表示为简单运动运动链(-R42-R4-R21-),第二耦合杆组表示为简单运动运动链(-R23-R5-R32-),第三耦合杆组表示为简单运动运动链(-R31-R6-R43-)。Select the equilateral triangle component (N5) as the moving platform, the first branch is connected to the moving platform (N5) through the first rotating pair (R51) of the moving platform, and the second branch is connected to the moving platform through the second turning pair (R52) of the moving platform. Platform (N5), the third branch is connected to the moving platform (N5) through the third rotating pair (R53) of the moving platform, and the three branches are connected to the moving platform (N5) in parallel. In addition, the first branch node component one (N4) and the second branch node component two (N2) are coupled and connected through the first coupling rod group (M1), and the second branch node component two (N2) and the third branch node component Three (N3) are coupled and connected through the second coupling rod group (M2), and the third branch node component three (N3) and the first branch node component one (N4) are coupled and connected through the third coupling rod group (M3) . Among them, the first coupling rod group is represented as a simple motion kinematic chain (-R42-R4-R21-), the second coupling rod group is represented as a simple motion kinematic chain (-R23-R5-R32-), and the third coupling rod group is represented as Simple Motion Kinematic Chain (-R31-R6-R43-).
与现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:
1、该机构分支结构简单并且对称,仅有两种形式的节点构件和二副杆构件装配得到,并且整个机构框架基于两个正四面体组合得到的空间多面体结构组成,前期装配和后期维修简单方便;1. The branch structure of the mechanism is simple and symmetrical. There are only two types of node components and secondary rod components assembled, and the entire mechanism frame is composed of a space polyhedron structure based on the combination of two regular tetrahedrons. The early assembly and later maintenance are simple. Convenience;
2、与实现同样运动性质的机构相比,该机构内部结构呈多环网状结构,兼备串并联机构的优点,具有承载力高,刚度大以及工作空间大等特点,适用于重载机械臂的执行机构;2. Compared with the mechanism that realizes the same motion properties, the internal structure of the mechanism is a multi-ring network structure, which has the advantages of a series-parallel mechanism, has the characteristics of high bearing capacity, high rigidity and large working space, and is suitable for heavy-duty manipulators. the executive body;
3、该机构具有单自由度移动运动性质,做特定方向的伸缩运动,根据工作条件及环境需求伸展收拢,便于运输,能更好的适应特殊场合,有良好的应用前景。3. The mechanism has the nature of single-degree-of-freedom movement, and can perform telescopic movement in a specific direction. It can be stretched and retracted according to working conditions and environmental requirements, which is convenient for transportation and can better adapt to special occasions. It has a good application prospect.
附图说明Description of drawings
图1为将两个完全相同的正四面体组合得到的空间多面体结构示意图。Figure 1 is a schematic diagram of a space polyhedron structure obtained by combining two identical regular tetrahedrons.
图中:A、B、C、D为一个正四面体的4个顶点,A’、B’、C’、D’为另一个正四面体的4个顶点,使B与B’重合、C与C’重合、D与D’重合得到新的空间多面体ABCDA’或A B’C’D’A’。In the figure: A, B, C, D are the 4 vertices of a regular tetrahedron, A', B', C', D' are the 4 vertices of another regular tetrahedron, so that B and B' coincide, C Coincident with C', D and D' coincide to get a new space polyhedron ABCDA' or A B'C'D'A'.
图2为基于空间多面体结构框架的单自由度移动多环对称耦合机构的示意图。Fig. 2 is a schematic diagram of a single-degree-of-freedom moving multi-ring symmetric coupling mechanism based on a spatial polyhedron structural frame.
图中:N1、机架 N4、节点构件一 N2、节点构件二 N3、节点构件三 N5、动平台 R11、机架的第一转动副 R12、机架的第二转动副 R13、机架的第三转动副 R21、节点构件二的第一转动副 R22、节点构件二的第二转动副 R23、节点构件二的第三转动副 R24、节点构件二的第四转动副 R31、节点构件三的第一转动副 R32、节点构件三的第二转动副 R33、节点构件三的第三转动副 R34、节点构件三的第四转动副 R41、节点构件一的第一转动副 R42、节点构件一的第二转动副 R43、节点构件一的第三转动副 R44、节点构件一的第四转动副R51、动平台的第一转动副 R52、动平台的第二转动副 R53、动平台的第三转动副 R1、杆组一(L1)中连接R11和R41的中间转动副 R2、杆组二(L2)中连接R12和R22的中间转动副 R3、杆组三(L3)中连接R13和R33的中间转动副 R4、耦合杆组一(M1)中连接R21和R42的中间转动副 R5、耦合杆组二(M2)中连接R23和R32的中间转动副 R6、耦合杆组三(M3)中连接R31和R43的中间转动副 R7、杆组七(L7)中连接R44和R51的中间转动副 R8、杆组八(L8)中连接R24和R52的中间转动副 R9、杆组九(L9)中连接R34和R53的中间转动副。In the figure: N1, frame N4, node component one N2, node component two N3, node component three N5, moving platform R11, the first rotating pair R12 of the frame, the second rotating pair R13 of the frame, and the second rotating pair R13 of the frame Three revolving pair R21, the first revolving pair R22 of node member two, the second revolving pair R23 of node member two, the third revolving pair R24 of node member two, the fourth revolving pair R31 of node member two, the third revolving pair of node member three The first revolving pair R32, the second revolving pair R33 of the third node member, the third revolving pair R34 of the third node member, the fourth revolving pair R41 of the third node member, the first revolving pair R42 of the first node member, the first revolving pair R42 of the first node member The second revolving pair R43, the third revolving pair R44 of node member one, the fourth revolving pair R51 of node member one, the first revolving pair R52 of the moving platform, the second revolving pair R53 of the moving platform, and the third revolving pair of the moving platform R1, the intermediate rotation pair R2 connecting R11 and R41 in the rod group one (L1), the intermediate rotation pair R3 connecting R12 and R22 in the rod group two (L2), and the intermediate rotation connecting R13 and R33 in the rod group three (L3) Pair R4, intermediate rotating pair R5 connecting R21 and R42 in coupling rod group one (M1), intermediate rotating pair R6 connecting R23 and R32 in coupling rod group two (M2), connecting R31 and R32 in coupling rod group three (M3) The middle rotating pair R7 of R43, the middle rotating pair R8 connecting R44 and R51 in the rod group seven (L7), the intermediate rotating pair R9 connecting R24 and R52 in the rod group eight (L8), and the connecting R34 in the rod group nine (L9) And the middle rotary pair of R53.
具体实施方式detailed description
如图2所示,第一分支包括机架的第一转动副(R11)、第一杆组(L1)、节点构件一的第一转动副(R41)、节点构件一的第四转动副(R44)、第七杆组(L7)、动平台第一转动副(R51);第一杆组(L1)与机架(N1)通过机架的第一转动副(R11)连接,第一杆组(L1)与节点构件一(N4)通过节点构件一的第一转动副(R41)连接,第七杆组(L7)与节点构件一(N4)通过节点构件一的第四转动副(R44)连接;其中第一杆组(L1)的组成表示为简单串联运动链-R11-R1-R41-,第七杆组(L7)的组成表示为简单串联运动链-R44-R7-R51-。As shown in Figure 2, the first branch includes the first revolving pair (R11) of the frame, the first rod group (L1), the first revolving pair (R41) of node member one, and the fourth revolving pair of node member one ( R44), the seventh rod group (L7), the first revolving pair of the moving platform (R51); the first rod group (L1) is connected with the frame (N1) through the first revolving pair (R11) of the frame, and the first rod The group (L1) is connected with the node member one (N4) through the first revolving pair (R41) of the node member one, and the seventh rod group (L7) is connected with the node member one (N4) through the fourth revolving pair (R44 ) connection; wherein the composition of the first rod group (L1) is expressed as a simple serial kinematic chain -R11-R1-R41-, and the composition of the seventh rod group (L7) is expressed as a simple serial kinematic chain -R44-R7-R51-.
第二分支包括机架的第二转动副(R12)、第二杆组(L2)、节点构件二的第二转动副(R22)、节点构件二的第四转动副(R24)、第八杆组(L8)、动平台第二转动副(R52);第二杆组(L2)与机架(N1)通过机架的第二转动副(R12)连接,第二杆组(L2)与节点构件二(N2)通过节点构件二的第二转动副(R22)连接,第八杆组(L8)与节点构件二(N2)通过节点构件二的第四转动副(R24)连接;其中第二杆组(L2)的组成表示为简单串联运动链-R12-R2-R22-,第八杆组(L8)的组成表示为简单串联运动链-R24-R8-R52-。The second branch includes the second revolving pair (R12) of the frame, the second rod group (L2), the second revolving pair (R22) of the second node member, the fourth revolving pair (R24) of the second node member, the eighth rod group (L8), the second revolving pair (R52) of the moving platform; the second rod group (L2) is connected to the frame (N1) through the second revolving pair (R12) of the frame, and the second rod group (L2) is connected to the node Component 2 (N2) is connected through the second revolving pair (R22) of node component 2, and the eighth rod group (L8) is connected with node component 2 (N2) through the fourth revolving pair (R24) of node component 2; the second The composition of the rod set (L2) is represented as a simple serial kinematic chain -R12-R2-R22-, and the composition of the eighth rod group (L8) is represented as a simple serial kinematic chain -R24-R8-R52-.
第三分支包括机架的第三转动副(R13)、第三杆组(L3)、节点构件三的第三转动副(R33)、节点构件三的第四转动副(R34)、第九杆组(L9)、动平台第三转动副(R53);第三杆组(L3)与机架(N1)通过机架的第三转动副(R13)连接,第三杆组(L3)与节点构件三(N3)通过节点构件三的第三转动副(R33)连接,第九杆组(L9)与节点构件三(N3)通过节点构件三的第四转动副(R34)连接;其中第三杆组(L3)的组成表示为简单串联运动链-R13-R3-R33-,第九杆组(L9)的组成表示为简单串联运动链-R34-R9-R53-。The third branch includes the third revolving pair (R13) of the frame, the third rod group (L3), the third revolving pair (R33) of the node member three, the fourth revolving pair (R34) of the node member three, the ninth rod group (L9), the third rotating pair (R53) of the moving platform; the third rod group (L3) is connected to the frame (N1) through the third rotating pair (R13) of the frame, and the third rod group (L3) is connected to the node Component three (N3) is connected through the third revolving pair (R33) of node component three, and the ninth rod group (L9) is connected with node component three (N3) through the fourth revolving pair (R34) of node component three; the third The composition of the rod group (L3) is represented as a simple serial kinematic chain -R13-R3-R33-, and the composition of the ninth rod group (L9) is represented as a simple serial kinematic chain -R34-R9-R53-.
选择正三角形构件(N5)为动平台,第一分支通过动平台的第一转动副(R51)连接到动平台(N5),第二分支通过动平台的第二转动副(R52)连接到动平台(N5),第三分支通过动平台的第三转动副(R53)连接到动平台(N5),所述三个分支并联到动平台(N5)上。另外,第一分支节点构件一(N4)和第二分支节点构件二(N2)之间通过第一耦合杆组(M1)耦合连接,第二分支节点构件二(N2)和第三分支节点构件三(N3)之间通过第二耦合杆组(M2)耦合连接,第三分支节点构件三(N3)和第一分支节点构件一(N4)之间通过第三耦合杆组(M3)耦合连接。其中第一耦合杆组表示为简单运动运动链(-R42-R4-R21-),第二耦合杆组表示为简单运动运动链(-R23-R5-R32-),第三耦合杆组表示为简单运动运动链(-R31-R6-R43-)。Select the equilateral triangle component (N5) as the moving platform, the first branch is connected to the moving platform (N5) through the first rotating pair (R51) of the moving platform, and the second branch is connected to the moving platform through the second turning pair (R52) of the moving platform. Platform (N5), the third branch is connected to the moving platform (N5) through the third rotating pair (R53) of the moving platform, and the three branches are connected to the moving platform (N5) in parallel. In addition, the first branch node component one (N4) and the second branch node component two (N2) are coupled and connected through the first coupling rod group (M1), and the second branch node component two (N2) and the third branch node component Three (N3) are coupled and connected through the second coupling rod group (M2), and the third branch node component three (N3) and the first branch node component one (N4) are coupled and connected through the third coupling rod group (M3) . Among them, the first coupling rod group is represented as a simple motion kinematic chain (-R42-R4-R21-), the second coupling rod group is represented as a simple motion kinematic chain (-R23-R5-R32-), and the third coupling rod group is represented as Simple Motion Kinematic Chain (-R31-R6-R43-).
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