Number：

01100018

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Name：

吳秋錦

Titles：

Lecturer

Author：

Yii-Wen Hwang, Shu-Hong Lin, Chui-Chin Wu

Paper name：

Generating functions for mechanism specialization

Name of activity：

Mechanism and Machine Theory

Keywords：Type synthesis, Generating function

Abstract：This paper proposes an innovative mathematical method for generating specialized mechanisms without having to check for isomorphic mechanisms. Specifically, using the basic permutation group types, the analysis derives four generating functions and four mathematical operators, which it then uses to generate complex generating functions for six-and eight-link specialized mechanisms that can be classified based on a link or a joint permutation group. Because each function is a polynomial in which every term is a specialized mechanism, there is no need to inspect for isomorphism. The accuracy and efficiency of the method is verified using numerical examples and Polya’s theory

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