An improved approach is proposed, based on combinatorial theory, for counting the number of identified mechanisms from kinematic chains. A procedure for obtaining the defined modified permutation groups is presented. By applying the variables to indicate the remaining links or joints in the modified permutation groups, and based on the concepts of generating function and Polya's Theory, a pattern inventory polynomial is developed to identify the results for the structural synthesis of identified mechanisms subject to design constraints. Three examples are provided to illustrate the proposed approach. The results of this work can replace the observation method to inspect the isomorphism for mechanisms.
|頁（從 - 到）||471-479|
|期刊||Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao|
|出版狀態||Published - 2007 十月 1|
All Science Journal Classification (ASJC) codes
- Mechanical Engineering