Number：

02100012

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Name：

吳秋錦

Titles：

Lecturer

Author：

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

Paper name：

Utilize the generating functions to enumerate the specialized mechanisms with design constraints

Name of activity：

The International Conference on Automatic Control and Artificial Intelligence

Keywords：Generating function,Specialized mechanism,Design constraint

Abstract：This study presents a mathematical method to calculate the generating function of the specialized mechanisms in type synthesis with design constraints. First, the link permutation group is derived from a candidate kinematic chain according to the combinatorial theory. Next, accrding to the types of design constraints, joint, path, and adjacent (or non-adjacent) pair groups are derived from the link group respectively. Then, the generating function of these groups can be calculated mathematically based on four well defined operators and basic groups. The generating function is a polynomial to express the results of specialized mechanisms subjected to a specific design constraint. The benefit of the method is that the results of the type synthesis can be calculated directly by mathematical manner without any inspection of isomorphism.

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