Unified Modeling And Automatic Synthesis Of Planar Simple And Multiple Joint Kinematic Chains

The aim of creative mechanism design is to achieve expected mechanism functions by creating and inventing new mechanism which has good operating quality and industrial value. The structural synthesis is the basic of original innovation of creative mechanism design that not only can optimize various types of existing mechanisms, but also can invent and create new ones. Planar linkage has a very wide range of application in all kinds of machine and instrument. And planar kinematic chain is the foundation of planar linkage. So the study of planar kinematic chain is very important for mechanism.Firstly this paper introduces the definitions of rigid sub-chain and isomorphism. And the related concepts are introduced about rigid sub-chain detection and isomorphism identification. Then based on the topological representation of planar simple joint kinematic chains and the composition theory of multiple joint kinematic chains, a unique topological representation models of planar simple joint and multiple joint kinematic chains are proposed.A modified structural synthesis method based on contracted link adjacency matrix is employed to synthesize simple joint chains. In the modified structural synthesis method, the method which is based on edge-loop theory is applied to detect rigid sub-chains, and the characteristic representation codes are applied to identify isomorphism. Then based on the modified synthesis method, an algorithm which is suitable for computer is proposed. And a programme based on Visual C++ is accomplished to realize the computerization for structural synthesis. Then the atlas database of planar simple joint kinematic chains can be obtained.A unique structural synthesis method is presented for planar simple joint and multiple joint kinematic chains, based on the new bicolor topological graph. The method of synthesizing multiple joint kinematic chain needs very few or no isomorphs. It is necessary to identify link adjacency in the process of synthesizing multiple joint chains. Therefore, an algorithm which is fit for computer is presented. Then, based on the obtained simple joint kinematic chains, a programme which is used to realize automatic structural synthesis of multiple joint chains is accomplish based on Visual C++. Then the atlas database of planar multiple joint kinematic chains can be obtained.