中文摘要：

为了对变胞机构的构态进行分析,提出了变胞机构结构变换的位移子群描述方法.给出了相邻和非相邻构件合并变胞的位移子群表示和计算方法以及变胞变换的位移子群矩阵表示和计算方法.提出了1个8-SSSS空间并联变胞机构,并将该并联变胞机构的结构变换过程采用位移子群和位移子群矩阵方法进行表示和计算,进一步验证了所提方法的正确性和有效性.新方法不但使变胞变换问题转换为位移子群的表示和计算问题,而且使变胞机构结构变换描述方法由拓扑结构拓展到了几何结构.

英文摘要：

In order to analyze configurations of metamorphic mechanisms,a description method of displacement subgroup for structure transformations of metamorphic mechanisms is proposed.Methods of representation and calculation of displacement subgroup for adjacent and non-adjacent link combinations are presented.And methods of representation and calculation of displacement subgroup matrix for metamorphic transformations are also presented.A spatial 8-SSSS parallel metamorphic mechanism is proposed as well.Its structure transformation is represented and calculated by methods of displacement subgroup and its matrix.The effectiveness and correctness of the proposed method are further proved.The method can transform issues of metamorphic transformations into the representation and calculation of displacement subgroup.Furthermore,the applicability of the description method for structure transformations of metamorphic mechanisms is extended from topological structure to geometric structure.