THEORETICAL FOUNDATION OF METAMORPHIC MECHANISM AND ITS SYNTHESIS

WANG Delun¹  DAI Jiansheng²

(1. Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of
Education, Dalian University of Technology, Dalian 116024;
2. King’s College London, University of London, Strand, London WC2R 2LS, UK)

Abstract: The metamorphic mechanism is defined by three characteristics in multi-stage, multi-topological structure and multi-degree of freedom. The properties and boundary of metamorphic mechanism are discussed and clarified for the mechanism with multi-degree of freedom, combined symmetrical mechanisms, and kinematropic mechanisms. A way to describe a metamorphic mechanism is proposed. A new concept of the work-stage mechanism and the origin mechanism for metamorphic mechanism, which can be expressed by metrics, are presented. Meanwhile, a mathematic model of a metamorphic mechanism is set up by a metamorphic equation, which indicates the relationship among a work-stage matrix, an origin metamorphic matrix and a metamorphic matrix. The type synthesis of metamorphic mechanism can be converted into solving the group of metamorphic equations, which leads to form all work-stage matrices, an origin metamorphic matrix and metamorphic matrices. Therefore, the metamorphic mechanism, including the series work-stage mechanism and origin mechanism, is readily located by the corresponding matrices. An example is given to demonstrate the process of the synthesis of a metamorphic mechanism. A groundwork for the theoretical basis of synthesis of metamorphic mechanisms is presented.

Key words: Metamorphic mechanisms Mechanisms synthesis Topology Matrix

CLC No: TG156

国家自然科学基金(50475154)和国家高技术研究发展计划(863计划, 2006AAO+2101)资助项目. Received 20060928, received in revised form 20070316