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平面运动链同构识别方法的研究 被引量:4

The Research on Identifitation of Isomorphism of Planar Kinematic Chains
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摘要 同构识别在机构类型综合中占有重要位置。本文在对含高副平面运动链分析的基础上,提出了含高副平面运动链支路码的概念,并提出了一种用计算机对含高副和不含高副的平面运动链均适用的同构识别方法。该方法不受运动链杆数和自由度数的限制,且速度快、计算量少。经大量实例计算。 The identification of isomorphism occupies an important place in the structural synthesis of planar mechanisms. Based on analysis of the planar kinematic chains with higher pairs ,this paper presents the concept of path code of planar kinematic chains with higher pairs and an algorithm for the identification of isomorphism.The algorithm is suitable for planar kinematic chains with and without higher pairs.The algorithm would nor be confined by the number of links,the degrees of freedom and the number of higher pairs ,and will take a high speed of identification.Testified by a lot of examples,the algorithm is practically effective.
出处 《机械科学与技术》 CSCD 北大核心 1997年第1期95-99,共5页 Mechanical Science and Technology for Aerospace Engineering
基金 国家自然科学基金
关键词 同构识别 含高副 运动链 类型综合 支路码 Identification of isomorphism Kinematic chain with higher pair Structural synthesis Path code
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  • 1万金保,董铸荣,沈守范.用邻接矩阵识别机构运动链同构的研究[J].机械工程学报,2004,40(7):85-88. 被引量:17
  • 2王婉.利用支路码识别运动链同构[J].北京工业大学学报,1994,20(3):103-108. 被引量:2
  • 3宋黎,杨坚.用邻接矩阵判断含复铰平面运动链同构和拓扑对称的新方法[J].机械科学与技术,2005,24(8):1005-1008. 被引量:8
  • 4Ambekar A G, Agrawal V P. Canonical numbering of kinematic chains and isomorphism problem: min code [ J ]. Mechanism and Machine Theory, 1987,22(5) :453 -461
  • 5Chu J K, Cao W Q. Identification of isomorphism among kinomalic chains and inversions using link v s adjacent-chain-table [J]. Mechanism and Machine Theory, 1994, 29(1):53 -58
  • 6Kong F G, Li Q, Zhang W J. An artificial neural net approach to mechanism kinematics chain isomorphism indetitlcation [ J ]. Mechanism and Machine Theory, 1999,34(5) :271 -283
  • 7Mruthyunjaya T S, et al. In quest of a reliable and efficient computational test of isomorphism in kinematic chains [ J ]. Mech. and Mach. Theory, 1987,22(2) :131 - 139.
  • 8Ambekar A G, Agrawal V P. Canonical numbering of kinematic chains and isomorphism problem: min code [ J]. Mech. and Maeh. Theory, 1987,22 ( 5 ) :453 - 461.
  • 9Tang C S, Liu T Y. The degnree eode-a new mechanism identifier trends and developments in mechanism [ J]. Machines and Robotics, 1988, (1) :147 - 151.
  • 10Ambekar A G, et al. Identification and classification of kinematic chains and mechanisms using identification codes[ A]. The 4th Inter Symposium on Linkages and Computer Aided Design Methods[ C], 1985.

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