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力学与实践 ›› 2019, Vol. 41 ›› Issue (6): 718-723.doi: 10.6052/1000-0879-19-146

• 教育研究 • 上一篇    下一篇

张拉整体三棱柱几何作图法找形与找力

尚仁杰1)   

  1. 中冶建筑研究总院有限公司,北京 100088
  • 收稿日期:2019-04-10 发布日期:2019-12-27
  • 通讯作者: 1) 尚仁杰,教授级高工,主要从事预应力空间结构研究与应用。E-mail: shangrenjie@aliyun.com

GEOMETRIC DRAWING METHOD FOR FORM-FINDING AND FORCE-FINDING FOR TRIANGULAR PRISM OF TENSEGRITY

SHANG Renjie1)   

  1. Central Research Institute of Building and Construction Co.Ltd. MCC Group, Beijing 100088, China
  • Received:2019-04-10 Published:2019-12-27

摘要: 力学和几何学是密不可分的,本文给出了一种几何作图法进行端面平行时张拉整体三棱柱的找形方法和作图确定自平衡内力大小的找力方法,并推导出找形后张拉整体三棱柱自平衡内力的力密度计算公式,通过算例验证了几何作图法找形与找力的正确性。几何作图法找形和找力方法操作简单,直观可控,可以在CAD软件中实现,甚至可以纸上手绘实现;自平衡力密度公式简单,表达直观,是力密度法的一种几何实现。

关键词: 张拉整体三棱柱, 找形, 找力, 力密度法, 几何作图法

Abstract: The mechanics and the geometry are inextricably linked. A geometric drawing method can be used to find the form of a triangular prism of tensegrity structure with two parallel end faces, as well as to find the self-equilibrium forces in the triangular prism of tensegrity. The formulae for calculating the force density of self-equilibrium internal forces in triangular prism of tensegrity are derived. The geometric drawing method for form-finding and force-finding is simple in operating, intuitive and adjustable. The method can be implemented in the CAD software, and even can produce drawings on the paper. The formulae of the force density of self-equilibrium internal forces are simple and can be expressed visually. The form finding method is the geometric implementation of the force density method.

Key words: triangular prism of tensegrity, form-finding, force-finding, force density method, geometric drawing method

中图分类号: 

  • TU394