BASIC PROBLEMS OF THE THEORY FOR

THE VARIABLE TOPOLOGY MECHANISMS

Liu Chuanhe

(Bengbu Institute of Tank PLA, Bengbu 233013)

Yang Tingli

(Jinling Petrochemical Corporation, China Petrochemical Corporation, Nanjing 210037)

Liu Yi

(Bengbu Institute of Tank PLA, Bengbu 233013)

Abstract: Three basic problems of the theory for the variable topology mechanisms are explored: the definition of the variable topology mechanism, basic changing topology ways of the variable topology mechanisms and their correlativity. The new concept of the variable topology mechanisms is put forward based on the graph theory and vertex-figure graph theory after the new concepts such as the topological structure of a mechanism, the mechanism idealization, the ideal mechanism, the element of a mechanism and the variable set etc. are defined. And the strict mathematical definition of the variable topology mechanism is given. Three basic changing topology ways of the variable topology mechanisms are represented accurately. It is one of the fundamental principles of the topological structure changing of the variable topology mechanisms. According to that, two correlativity theorems and three corollaries of basic changing topology ways of the variable topology mechanisms are discovered, put forward and proved strictly.

Key words: Variable topology mechanism  Basic changing topology way  Correlativity theorem

CLC No: TH112

国家自然科学基金资助项目(50275070). Received 20041231, received in revised form 20050404