Study On Topological Contracted Graphs Automatic Synthesis Of Planar Kinematic Chains Based On Single-Open-Chains Adding Method

Topological structural synthesis of kinematic chains which can provide various comparable schemes for innovative mechanism designs, it is the basic of design, invention of new mechanism. In this thesis, mechanism scheme innovative design is taken as application target, a deep and systematic research was made in topological contracted graphs automatic synthesis of planar kinematic chains and related problems based on single-open-chains adding method. The main research achierements covered in this thesis are summarized as follows:Firstly, topological graph description and matrix representation of planar kinematic chains are discussed in detail, which provide good mathematic tool for mechanism structure analysis and synthesis. In view of topological contracted graphs automatic synthesis and graphical needs, the procedure for automatic draw topological contracted graph of planar kinematic chain by corresponding link-joint incident matrix is obtained. Based on the equivalent circuit model of topological contraceted graph, a new method for isomorphism identification of planar kinematic chains is presented. By this method, one of the difficult problems of isomorphism identification in structural synthesis is solved successfully.Secondly, a unified topological contracted graphs automatic synthesis method of planar simple and multiple joint kinematic chain based on the improved single-open-chains adding method is presented. With the help of double topological graph, we unified the single-kinematic-chains structure decomposition and detection rigid sub-chains method of planar simple and multiple joint kinematic chains. Improved the conditions of single-kinematic-chain distribution sets in the synthetic process, and added the isomorphism identification and rigid sub-chains detection algorithms to delete the chains which do not meet the requirements, then the synthesis efficiency is greatly raised by this way. Combined with topological contracted graph automatic draw, the procedure for unified topological structural automatic synthesis of planar simple and multiple joint kinematic chains is achieved in the MATLAB7.0. Topological contracted graphs of the whole family planar simple and multiple joint kinematic chains with up to12-links and1-3DOFs are obtained in batch.Thirdly, a topological contracted graphs automatic synthesis method of planar geared-Iinkage kinematic chain based on the gear-single-open-chains adding method is presented. Based on the tricolored topological graph, single-kinematic-chains structure decomposition and detection rigid sub-chains method of geared-linkage kinematic chains is obtained. Combined with isomorphism identification and rigid sub-chains detection method to delete the chains which do not meet the requirements, the corresponding geared-linkage kinematic chains can be formed by subsequently adding gear-single-open-chains on a basic-linkage-kinematic-chain. By the topological contracted graph automatic draw, the procedure for topological structural automatic synthesis of planar geared-linkage kinematic chains is achieved in the MATLAB7.0. Topological contracted graphs of planar geared-linkage kinematic chains with specified input parameters can be synthesized in batch by this useful method.Finally, a general method for mechanism scheme innovative design based on topological contacted graphs regenerated is discussed. This method can directly apply the automatic synthesis topological contacted graphs in the Mechanism scheme innovative design, topological contracted graphs of planar simple、multiple joint kinematic chains and geared-linkage kinematic chains provided rich source for mechanisms creating. Structural synthesis and optimization of complex loader working device and roller driving device by the topological contacted graphs regenerated method are carried out in this thesis, the results provide a lot of good alternative structures for creating new loader working device and roller driving device.