刘亚菲, 舒开鸥, 郭子涛, 张雷. 一种"有无穷远虚铰的三刚片规则"的证明方法1)[J]. 力学与实践, 2020, 42(6): 802-805. DOI: 10.6052/1000-0879-20-208
引用本文: 刘亚菲, 舒开鸥, 郭子涛, 张雷. 一种"有无穷远虚铰的三刚片规则"的证明方法1)[J]. 力学与实践, 2020, 42(6): 802-805. DOI: 10.6052/1000-0879-20-208
LIU Yafei, SHU Kai'ou, GUO Zitao, ZHANG Lei. A PROOF OF THREE-RIGID PANEL RULE WITH INFINITE VIRTUAL HINGE 1)[J]. MECHANICS IN ENGINEERING, 2020, 42(6): 802-805. DOI: 10.6052/1000-0879-20-208
Citation: LIU Yafei, SHU Kai'ou, GUO Zitao, ZHANG Lei. A PROOF OF THREE-RIGID PANEL RULE WITH INFINITE VIRTUAL HINGE 1)[J]. MECHANICS IN ENGINEERING, 2020, 42(6): 802-805. DOI: 10.6052/1000-0879-20-208

一种"有无穷远虚铰的三刚片规则"的证明方法1)

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

  • 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。

     

    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

     

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