• CN:11-2187/TH
  • ISSN:0577-6686

›› 1991, Vol. 27 ›› Issue (2): 63-68.

• 论文 • 上一篇    下一篇

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平面连杆机构运动与力分析的同一性定理及其物理内涵

黄田;曾子平;彭泽民   

  1. 天津大学
  • 发布日期:1991-03-01

IDENTITY THEOREM OF KINEMATIC AND FORCE ANALYSIS OF PLANAR LINKAGES AND ITS PHYSICAL CONNOTATION

Huang Tian;Zeng Ziping;Peng Zemin   

  1. Tianjin University
  • Published:1991-03-01

摘要: 本文运用网络分析理论,提出了用拓扑矩阵构造平面静定运动链运动学与动力学正解方程的一般方法,导出了这两类数学模型的规格化格式,并由此提出了提示二者之间内在联系的重要定理——同一性定理。还运用虚功原理论证了该定理的物理内涵。

关键词: 动力学, 分析, 连杆机构

Abstract: By applying gragh theory and defining a new concept termed generalized kinematic chain, a systematic and symbolic method for formulating the kinematic and kinetostetle equations of planar linkages has been developed in terms of topological matrix notations in this paper. A significant theorem, Identity Theorem by name, has been brought to light, which bridges the gap between these two apparently unconnected mathematical models. An insightful explanation has also been made using virtual work principle for a better understanding of the theorem.

Key words: 动力学, 分析, 连杆机构