Identifying and counting the number of mechanisms from kinematic chains subject to design constraints

Hong Sen Yan, Chih Ching Hung

研究成果: Article同行評審

27 引文 斯高帕斯(Scopus)

摘要

An approach is presented, based on combinatorial theory, for the complete enumeration of nonisomorphic mechanisms precisely from kinematic chains. And, based on the permutation groups, the concept of the generating function, and Polya's Theory, mathematical expressions are derived for counting the number of the identified mechanisms subject to the design constraints of the adjacent/incident relationship among links, joints, or links and joints. Examples are provided to illustrate the proposed approach. The results of this work can instead of the observation method to inspect the isomorphism for mechanisms; furthermore, all nonisomorphic mechanisms can be obtained exactly and systematically. Copyrigh

原文English
頁(從 - 到)1177-1182
頁數6
期刊Journal of Mechanical Design, Transactions of the ASME
128
發行號5
DOIs
出版狀態Published - 2006 九月

All Science Journal Classification (ASJC) codes

  • 材料力學
  • 機械工業
  • 電腦科學應用
  • 電腦繪圖與電腦輔助設計

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