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

被引:0
|
作者
Yan, Hong-Sen [1 ]
Hung, Chih-Ching [1 ]
机构
[1] Natl Cheng Kung Univ, Dept Mech Engn, Tainan 70101, Taiwan
关键词
mechanisms; kinematic chains; combinatorial theory; permutation groups; design constraints;
D O I
暂无
中图分类号
TP24 [机器人技术];
学科分类号
080202 ; 1405 ;
摘要
A methodology is presented, based on combinatorial theory, for the enumeration of non-isomorphic mechanisms precisely from kinematic chains. According to the defined permutation groups, an algorithm for generating all nonisomorphic identified mechanisms by assigning various types of links and joints to kinematic chains is proposed. Based on the concepts of Polya's theory and generating function, mathematical expressions are derived for counting the number of the identified mechanisms subject to the design constraints of adjacent/incident relationship between links and joints. Examples are provided to illustrate the proposed approach.
引用
收藏
页码:343 / 350
页数:8
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