基于杆组邻接矩阵的平面构型的同构识别

Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix

机构构型的同构识别是机构构型综合的关键问题。针对杆组邻接矩阵平面构型综合法在综合平面构型过程中产生的同构构型,提出了一种识别并去除同构的方法——基于杆组邻接矩阵的平面构型的同构识别。首先根据杆组数和主动件数求出对角线元素,然后识别对角线同构,在添加杆组元素过程中识别杆组添加顺序同构,在杆组添加完毕后识别杆组邻接矩阵中的机构构型对称同构,在矩阵综合的过程中识别并去除三种同构类型。该方法易于计算机实现、操作容易,在综合过程中识别同构构型,使综合的效率提高。

The isomorphism identification of structural type is a vital problem now. For dealing with the isomorphism generated in synthesis of planar configuration based on the synthesis method of Assur - group adja- cency matrix, a methodology of Assur - group adjacency matrix isomorphism identification is proposed. First of all, according to the diagonal elements is derived by the amount of Assur - group and active number, the diago- nal isomorphism identification is obtained. Then, the condition is classified into three kinds, first is sequence i- somorphism when Assur- group is equipped, second is symmetrical configuration isomorphism after adding Assur- group and the last one is discovered in matrix synthesis, which would be recognized and deleted by this method. Finally, the methodology proposed is able to be achieved by computer, easy to control and takes high efficiency in isomorphism identification.