| 三级三序组的类型及其装配构形 |
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| 引用本文： | 张纪元,牛志纲.三级三序组的类型及其装配构形[J].南京理工大学学报(自然科学版),2000,24(2):126-130. |
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| 作者姓名： | 张纪元 牛志纲 |
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| 作者单位： | 上海海运学院机械系,上海,200135 |
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| 基金项目： | 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 |
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| 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１８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。并用实数同伦法得到了所有１９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。
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| 关 键 词： | 阿苏尔杆组 装配构型 实数同伦法 |
The Types of 3-level-3-order Assur's Group and Their Configurations |
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| ZhangJiyuan,NiuZhigang.The Types of 3-level-3-order Assur''s Group and Their Configurations[J].Journal of Nanjing University of Science and Technology(Nature Science),2000,24(2):126-130. |
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| Authors: | ZhangJiyuan NiuZhigang |
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| Abstract: | 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. |
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| Keywords: | mechanisms isomorphism decision Assur's group configurations homotopy theory |
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