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The Types of 3-level-3-order Assur’s Group and Their Configurations(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2000年02期
Page:
126-130
Research Field:
Publishing date:

Info

Title:
The Types of 3-level-3-order Assur’s Group and Their Configurations
Author(s):
ZhangJiyuan NiuZhigang
Department of Mechanics,Shanghai Maritime University,Shanghai 200135
Keywords:
mechanisms isomorphism decision Assur. s group configurations homotopy theory
PACS:
TH112.1
DOI:
-
Abstract:
According to the theory of permutat ion an combination and the adjacency matrix method for judging isomorphism of kinemat ic chains, it proved that eighteen other types of 3- leve-l 3-order Assur. s group can be evolved from a basic 3-leve-l 3-order Assur. s group w ith six rotat ion pairs. In these rod-groups, there are two types of 3-leve-3-order Assur. s group w hich involves one prism pair, four types of tw o prism pairs, six types of three prism pairs, four types of four prism pairs, and two types of f ive prism pairs. Furthermore, the conf igurat ions of nineteen types of 3-leve-l 3-order Assur’s group are found by real number homotopy method. All this replenished and developed the Assur. s group theory of mechanism.

References:

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4 张纪元. 机构学中的实数同伦法.上海海运学院学报, 1999, 20( 2) : 1~ 5

Memo

Memo:
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Last Update: 2013-03-25