摘要
分析杆组拓扑结构的特点,基于描述运动链的邻接矩阵,构造了针对杆组的拓展邻接矩阵。新的矩阵中添加了复铰和外接运动副对应的行列,它不仅能表示构件之间联接信息,也能表示杆组中构件、复铰、外接运动副三者之间的联接关系。拓展邻接矩阵中包含的构件、复铰、外接运动副自身信息以及它们的联接关系,联合杆组拓展的邻接矩阵的特征值特征向量法,进行含复合铰高级别杆组的同构判定,并找出同构杆组中各结构的对应关系来印证判定结果。该判定方法可由计算机实现,操作简便。
By analyzing the characteristics of the topological structure of the Assur groups, an extended adjacency matrix for Assur groups is constructed based on the adjacency matrix describing the kinematic chain. In the new matrix, the columns of multiple jionts and external motion pair are added. It can not only represent the connection information between components, but also can indicate the connection between components, multiple jionts, and external movements. The information of components, reaming and external motion pairs, and their connection relations are contained in the extended adjacency matrix. The eigenvalue eigenvector method of the extended adjacency matrix is combined to carry out the isomorphism determination of the high-level Assur groups with multiple jionts. Judgement results are confirmed by the finding of corresponding relations between the structures in the isomorphic Assur group. The decision method can be realized by computer,and the operation is simple and the conclusion is reliable.
作者
张瑶
孔建益
孙亮波
刘怀广
刘源泂
ZHANG Yao;KONG Jian-yi;SUN Liang-bo;LIU Huai-guang;LIU Yuan-jiong(School of Mechanical Automation,Wuhan University of Science and Technology,Wuhan 430081,China;School of Mechanical Engineering, Wuhan Polytechnic University,Wuhan 430038,China)
出处
《组合机床与自动化加工技术》
北大核心
2019年第5期47-50,共4页
Modular Machine Tool & Automatic Manufacturing Technique
基金
国家自然科学基金(51875418)
湖北省自然科学基金(2017CFC830)
湖北省科技厅自然科学基金(2018CFC795)
关键词
杆组
拓展邻接矩阵
拓扑结构
同构判定
assur groups
extended adjacency matrix
topology
isomorphism identification
