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04100029-Abstract

 

Number:

04100029

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Name:

蔣祥第

Titles:

副教授

Author:

Shu-Hong Lin, Chiu-Chin Wu and Yii-Wen Hwang

Paper name:

Generating Functions Subject to Adjacency Constraints for Specialization of Mechanisms

Name of activity:

中國機械工程學刊

Keywords:

Abstract: This paper proposes an innovative mathematical method for deriving the specialized mechanism expressed by generating function subject to adjacency constrains. First, generating function is deiven from permutation group, and then every term in generating function multiply by an adjacency coefficient to obtain a generating function subject to adjacency constraint. The adjacency coefficient is calculated and derived from a submatrix of adjacency matrix. It acts as a filter to sieve out the specialized mechanisms that are subject to adjacency constraints. Two example demonstrate the efficiency and systematicity of this proposed method.

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