TOPOLOGICAL CHANGES AND THE CORRESPONDING METRIX OPERATIONS OF A SPATIAL METAMORPHIC MECHANISM

Dai Jiansheng

(Department of Mechanical Engineering School of Physical Sciences and Engineering, King’s College London, University of London, London WC2R 2LS, United Kingdom)

Ding Xilun

(School of Mechanical Engineering, Beihang University, Beijing 100083)

Wang Delun

(School of Mechanical Engineering, Dalian University of Technology, Dalian 116024)

Abstract: Topological change is an essential characteristic of metamorphic mechanisms. Matrix operations in describing the mechanism topological changes, reveals the use of the U-elementary matrix and the newly discovered E-elementary matrix in the two types of the topological changes, hence demonstrates the consistency between a matrix operation and a mechanism topological change. Then a spatial metamorphic mechanism in demonstrating the matrix operation in accordance with the topological changes and in identifying the mechanism new structure is enlisted. This further reveals the characteristics of the matrix operations in the two steps of the topological changes and exhibits the new mechanism structure which is extended from each configuration of the topological changes.

Key words: Metamorphic mechanism  Topological changes  Spatial  Matrix operation  Characteristics

CLC No: TH112

国家自然科学基金资助项目(50275002, 50475001). Received 20050104, received in revised form 20050508