变胞机构结构变换的位移子群描述方法

doi:10.13190/jbupt.201303.46.zhangzhh

北京邮电大学学报 ›› 2013, Vol. 36 ›› Issue (3): 44-48,59.doi: 10.13190/jbupt.201303.46.zhangzhh

变胞机构结构变换的位移子群描述方法

张忠海, 李端玲

北京邮电大学自动化学院, 北京 100876

收稿日期:2012-06-01 出版日期:2013-06-30 发布日期:2013-06-30
作者简介:张忠海(1971—), 男, 高级工程师, 博士生, E-mail: zhzhonghai@sina.com; 李端玲(1974—), 女,教授, 博士生导师.
基金资助:
国家自然科学基金项目(51075039); 中央高校基本科研业务费项目(2012LD03); 清华大学摩擦学国家重点实验室开放基金项目; 新世纪优秀人才支持计划项目(NCET-12-0796); 高等学校博士学科点专项科研基金课题(20120005110008)

Description of Displacement Subgroup for Structure Transformations of Metamorphic Mechanisms

ZHANG Zhong-hai, LI Duan-ling

School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2012-06-01 Online:2013-06-30 Published:2013-06-30

摘要/Abstract

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.

关键词: 变胞机构, 位移子群, 位移子群矩阵, 结构变换, 构件合并

Abstract:

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.

Key words: metamorphic mechanism, displacement subgroup, displacement subgroup matrix, structure transformation, link combination

中图分类号:

TH112

张忠海, 李端玲. 变胞机构结构变换的位移子群描述方法[J]. 北京邮电大学学报, 2013, 36(3): 44-48,59.

ZHANG Zhong-hai, LI Duan-ling. Description of Displacement Subgroup for Structure Transformations of Metamorphic Mechanisms[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2013, 36(3): 44-48,59.

[1]	白国超, 李端玲, 魏世民, 廖启征, 戴建生. 基于邻接图的变胞机构的矩阵描述及演算[J]. 北京邮电大学学报, 2014, 37(4): 1-5.
[2]	张忠海李端玲廖启征. 柔性变胞机构的拓扑结构表示及构态变换分析[J]. 北京邮电大学学报, 2010, 33(3): 75-79.

变胞机构结构变换的位移子群描述方法

Description of Displacement Subgroup for Structure Transformations of Metamorphic Mechanisms

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