The structural synthesis of planar kinematic chains, utilizing graph theory, must have a complete catalog of contracted graphs. Based on Euler's formula and graph theory, a systematic procedure for the structural synthesis of the (N plus 1) independent loops contracted graphs derived from the N independent loops contracted graphs is presented in this paper. The vertex assortment and characteristic polynomial of contracted graphs are introduced to identify the isomorphism of contracted graphs with the aid of direct inspection. By the application of the proposed procedure, the catalog of contracted graphs for any number of independent loops can be synthesized systematically. A list of the complete catalog of contracted graphs up to four independent loops is presented.
|Number of pages||11|
|Journal||Chung-Kuo Chi Hsueh Kung Ch'eng Hsueh Pao/Journal of the Chinese Society of Mechanical Engineers|
|Publication status||Published - 1986 Apr 1|
All Science Journal Classification (ASJC) codes
- Mechanical Engineering