三级三序组的类型及其装配构形  

The Types of 3-level-3-order Assur's Group and Their Configurations

作　　者：张纪元[1] 牛志纲[1] 

机构地区：[1]上海海运学院机械系,上海200135

出　　处：《南京理工大学学报》2000年第2期126-130,共5页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金项目;上海市高等学校科学技术发展基金

摘　　要：根据排列组合论和运动链同构判定的邻接矩阵法证明 ,以全铰链三级三序组为基础 ,可演化成其它 1 8种不同的三级三序组。其中 ,含有 1个移动副的三级三序组有 2种 ,含 2个移动副的有 4种 ,含 3个移动副的有 6种 ,含 4个移动副的有 4种 ,含 5个移动副的有 2种。并用实数同伦法求得了所有 1 9种三级三序组的装配构形。这些工作丰富和发展了机构学的杆组理论。According to the theory of permutation an combination and the adjacency matrix method for judging isomorphism of kinematic chains,it proved that eighteen other types of 3 level 3 order Assur's group can be evolved from a basic 3 level 3 order Assur's group with six rotation pairs.In these rod groups,there are two types of 3 leve 3 order Assur's group which involves one prism pair,four types of two prism pairs,six types of three prism pairs,four types of four prism pairs,and two types of five prism pairs. Furthermore,the configurations of nineteen types of 3 level 3 order Assur's group are found by real number homotopy method.All this replenished and developed the Assur's group theory of mechanism.

关 键 词：阿苏尔杆组 装配构型 实数同伦法 

分 类 号：TH112.1[机械工程—机械设计及理论]