AN APPROACH FOR COUNTING THE NUMBER OF SPECIALIZED MECHANISMS SUBJECT TO NON-ADJACENCY CONSTRAINTS

作者：Hwang Yii Wen^*; Wu Chiu Chin; Lin Shu Hong

来源：Transactions of the Canadian Society for Mechanical Engineering, 2012, 36(3): 219-232.

• non-adjacency constraint
• specialized mechanism
• permutation group
• adjacency matrix

This paper presents an improved approach to count the number of specialized mechanisms subject to non-adjacency constraints from a candidate kinematic chain. First, the permutation group of the candidate kinematic chain is found. Next, an inventory polynomial named kinematic king polynomial (KKP) to count the specialized mechanisms is modified from the traditional king polynomial related to the count of moves of a king on a chess. Then, an algorithm to calculate the KKP is presented by operations on labeled joint adjacency matrix (LJAM). Finally, two examples are illustrated to verify the approach.

• 出版日期2012