Type Synthesis of Eight-bar One-DoF Multiple-joint Mechanism
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摘要: 为综合得到含复合铰链的八杆机构所有构型,提出了一种基于杆组邻接矩阵的构型综合方法。首先,根据机构构件数目,分析机构所有可能的装配组合,并且构造杆组邻接矩阵对角元素。其次,由于机构中复铰类型及个数情况均有不同,将机构分为复铰因子v=1~4的不同类型,根据不同类型,将各级Assur杆组依次连接到前各元素的构件或者运动副上,形成多副杆或者复铰,同时逐步构造杆组邻接矩阵中其余元素,并同步辨识同构体。最后,直至将所有杆组全部连接完成,获得含复铰的八杆机构全部构型。应用该方法,求出了含各类型复铰及不同复铰因子的八杆机构共681种。Abstract: In order to obtain all structures of eight-bar mechanism, a type synthesis method for eight-bar one degree of freedom (DoF) multiple-joint mechanism is proposed based on the group adjacent matrix. Firstly, according to the number of bars and degree of freedom, we analyze all combination of the Assur groups and construct the diagonal elements of group adjacent matrix. Then, for difference in the numbers and types of multiple-joint, the mechanisms are divided into different types with multiple-joint factor (v) of 1~4, and the Assur groups are connected to former linkages or joints to form the multiple pair linkage or multiple-joint. Meanwhile the other elements of the group adjacent matrix are progressively constructed and the isomorphism is identified in synchronism. Finally, all the groups are connected and all types of eight-bars multiple-joint mechanisms are obtained. The present structural design method generates a total of 681 kinds of structural forms for eight-bar one-DoF multiple-joint.
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Key words:
- type synthesis /
- multiple-joint /
- adjacent matrix
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[1] 曹惟庆.连杆机构的分析与综合[M].第2版.北京:科学出版社,2002 Cao W Q. The analysis and synthesis of linkage mechanisms[M]. 2 edition. Beijing:Science Press, 2002(in Chinese) [2] Freudenstein F, Dobrjanskyj L. On a theory for the type synthesis of mechanisms[M]//Go··rtler H, ed. Applied Mechanics. Berlin Heidelberg:Springer, 1966:420-428 [3] Woo L S. Type synthesis of plane linkages[J]. Journal of Engineering for Industry, 1967,89(1):159-170 [4] Mruthyunjaya T S. Structural synthesis by transformation of binary chains[J]. Mechanism and Machine Theory, 1979,14(4):221-231 [5] Lee H J, Yoon Y S. Automatic method for enumeration of complete set of kinematic chains[J]. The Japan Society of Mechanical Engineers, 1994,37(4):812-818 [6] Tuttle E R, Peterson S W, Titus J E. Enumeration of basic kinematic chains using the theory of finite groups[J]. Journal of Mechanisms, Transmissions, and Automation in Design, 1989,111(4):498-503 [7] Tuttle E R. Generation of planar kinematic chains[J]. Mechanism and Machine Theory, 1996,31(6):729-748 [8] 李树军,戴建生.基于Assur杆组元素的平面机构的拓扑描述[J].机械工程学报,2011,47(19):8-13 Li S J, Dai J S. Topological representation of planar mechanisms based on Assur group elements[J]. Journal of Mechanical Engineering, 2011,47(19):8-13(in Chinese) [9] 李树军,戴建生.基于杆组邻接矩阵的平面机构综合方法[J].机械工程学报,2012,48(13):13-18 Li S J, Dai J S. Structural synthesis method of planar mechanisms using the Assur-group based adjacency matrix[J]. Journal of Mechanical Engineering, 2012,48(13):13-18(in Chinese) [10] 曹惟庆,褚金奎.含有复式铰链的八杆杆组类型综合[J].陕西机械学院学报,1991,7(3):131-137 Cao W Q, Chu J K. Type synthesis of eight bar Assur groups with multiple joints[J]. Journal of Shaanxi Institute of Mechanical Engineering, 1991,7(3):131-137(in Chinese) [11] 褚金奎,曹惟庆,吕传毅.平面十杆复铰单自由度机构的类型综合[J].西安理工大学学报,1995,11(4):239-244 Chu J K, Cao W Q, Lü C Y. Type synthesis of 10-bar one-D.O.F linkages[J]. Journal of Xi'an University of Technology, 1995,11(4):239-244(in Chinese) [12] 杨廷力.机械系统基本理论:结构学·运动学·动力学[M].北京:机械工业出版社,1996 Yang T L. Basic theory of mechanical system:structure·kinematics·dynamics[M]. Beijing:China Machine Press, 1996(in Chinese) [13] 宋黎,陈磊.含复铰有移动副平面运动链的结构类型综合方法[J].机械科学与技术,2009,28(3):295-300 Song L, Chen L. A method for structural type synthesis of planar kinematic chains with multiple joints and sliding joints[J]. Mechanical Science and Technology for Aerospace Engineering, 2009,28(3):295-300(in Chinese) [14] 郑秀云.基于虚拟样机技术的多连杆压力机参数化设计与优化[D]. 武汉:武汉科技大学,2014 Zheng X Y. Parametric design and optimization analysis of multi-link mechanical press on virtual prototype[D]. Wuhan:Wuhan University of Science and Technology, 2014(in Chinese) [15] 余发国,王园.一种八连杆机械压力机连杆的优化设计[J].锻压技术,2013,38(5):138-141 Yu F G, Wang Y. Optimization design of linkages for eight-links mechanical press[J]. Forging & Stamping Technology, 2013,38(5):138-141(in Chinese)
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