力学与实践 ›› 2020, Vol. 42 ›› Issue (6): 802-805.DOI: 10.6052/1000-0879-20-208

• 教育研究 • 上一篇    下一篇

一种"有无穷远虚铰的三刚片规则"的证明方法1)

刘亚菲, 舒开鸥2), 郭子涛, 张雷   

  1. 九江学院建筑工程与规划学院,江西九江 332005
  • 收稿日期:2020-05-18 出版日期:2020-12-20 发布日期:2020-12-20
  • 通讯作者: 2) 舒开鸥,从事结构力学教学和结构稳定性研究. E-mail: sko01011@163.com

A PROOF OF THREE-RIGID PANEL RULE WITH INFINITE VIRTUAL HINGE 1)

LIU Yafei, SHU Kai'ou2), GUO Zitao, ZHANG Lei   

  1. School of Construction Engineering and Urban Planning, Jiujiang University, Jiujiang 332005, Jiangxi, China
  • Received:2020-05-18 Online:2020-12-20 Published:2020-12-20

摘要: 以刚体的平面运动为理论依据,提出并证明了两个关于虚铰和无穷远虚铰的运动学特征定理,在此基础上提出了针对有无穷远虚铰的三刚片规则的通俗证明方法,填补了现行教材中对这一规则没有详细证明的空白,为能深刻理解平面体系几何组成提供帮助,为建立新的平面体系几何组成分析方法提供思路。

关键词: 几何组成, 三刚片规则, 无穷远虚铰, 运动学

Abstract: Based on the plane motion of the rigid body, two theorems of kinematic characteristics of the virtual hinge and the infinite virtual hinge are proposed and proved. On this basis, a proof of the three rigid panel rule with infinite virtual hinge is given, which can help understanding better the geometric composition of the plane system and developing a new geometric composition analysis method of the plane system

Key words: geometric composition, three rigid panel rule, infinite virtual hinge, kinematics

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