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描述变胞机构构态变换的邻接矩阵法

ADJACENT MATRIX METHOD DESCRIBING THE STRUCTURE CHANGING OF METAMORPHIC MECHANISMS

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【作者】 吴艳荣金国光李东福杨世明戴建生

【Author】 WU Yanrong1 JIN Guoguang1 LI Dongfu1 YANG Shiming1 DAI Jiansheng2(1.School of Mechanical and Electric Engineering,Tianjin Polytechnic University,Tianjin 300160;2.Department of Mechanical Engineering,King’s College,University of London,London WC2R 2LS,UK)

【机构】 天津工业大学机械电子学院伦敦大学国王学院机械工程系 天津300160天津300160伦敦WC2R2LS英国

【摘要】 根据变胞机构的变胞原理,提出变胞机构的三种变胞过程:杆件增加、杆件减少和杆件数不变仅拓扑结构发生变化。在研究变胞机构的三种变胞过程后,提出用邻接矩阵变换的方法来描述变胞机构的变胞过程,同时提出用于相应邻接矩阵变换的4种初等矩阵。矩阵变换法能清楚地描述机构在变胞过程中,各构件的邻接特性变化以及增加或减少的构件数。采用矩阵变换法来描述机构的变胞过程,将变胞机构的构态变换转化为一系列矩阵运算,普遍适用于各种变胞机构的构态变换分析。变换过程全部由矩阵实现,且不需对新机构重新编号,易于计算机编程运算。

【Abstract】 Three metamorphic processes are put forward based on the metamorphic principle of metamorphic mechanism:the member-increased,the member-decreased,and the member-unchanged but changing its configuration.After researching the three processes of metamorphic mechanism’s structure changing,the processes to describe the metamorphic mechanism’s structure changing are brought forward by using the transformation of adjacent matrix,and at the same time,4 kinds of elementary matrixes,which are accordingly used to transform adjacent matrix are put forward.This matrix transformation can clearly describe the change of adjacent characteristic of every component and the number of increasing and decreasing components in the process of structure changing.The matrix transformation,which is used to describe the processes of metamorphic mechanism’s structure changing,can translate the structure changing of metamorphic mechanism to series of matrix operation.This method can be used in the analysis of all kinds of metamorphic mechanisms’ configuration transform-ation.The transformation is done by matrix,and doesn’t need to give numbers to the new mechanisms,so it can be easily calculated by computer.

【基金】 国家自然科学基金(50675154,50275002);天津市高等学校科技发展基金(20041103)资助项目。
  • 【文献出处】 机械工程学报 ,Chinese Journal of Mechanical Engineering , 编辑部邮箱 ,2007年07期
  • 【分类号】TH112
  • 【被引频次】41
  • 【下载频次】764
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