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力学与实践 ›› 2014, Vol. 36 ›› Issue (5): 647-652.doi: 10.6052/1000-0879-13-328

• 应用研究 • 上一篇    下一篇

细长垂直结构倾倒过程力学行为的研究

李庆军, 耿小亮, 王佳坡, 舒佳乐, 李明彬, 胡喜仁   

  1. 西北工业大学力学与土木建筑学院, 西安 710129
  • 收稿日期:2013-09-06 修回日期:2013-10-12 出版日期:2014-10-15 发布日期:2014-02-25
  • 通讯作者: 李庆军,E-mail:lqingjun2012@163.com E-mail:lqingjun2012@163.com
  • 基金资助:

    国家自然科学基金(11102163)和国家大学生创新创业训练项目(10GZ1601)资助.

MECHANICAL ANALYSIS OF VERTICAL SLENDER ROD DURING ITS TOPPLING

LI Qingjun, GENG Xiaoliang, WANG Jiapo, SHU Jiale, LI Mingbin, HU Xiren   

  1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnic University, Xi'an 710129, China
  • Received:2013-09-06 Revised:2013-10-12 Online:2014-10-15 Published:2014-02-25

摘要:

研究了细长垂直结构从开始倾倒到接触地面前这一短暂时间内的力学行为。采用解析方法,推导了实心、空心、变截面和加重物情况下细长杆倾倒过程的数学模型,设计了相应实验对该模型开展实验验证,通过测试细长垂直杆自由倾倒过程中应变沿杆轴线方向的分布和随时间的变化规律,并与理论模型得到的曲线对比,两者具有良好的相符性,由此验证了该文提出模型的正确性,并总结出多种细长垂直结构倾倒过程的应力应变演化和分布规律。

关键词:

垂直杆件|达朗贝尔原理|倾倒

Abstract:

The toppling of a vertical slender rod occurs in a short period of time, the mechanical analysis of this process is made in this paper. Firstly, a theoretical model of the cylindrical rod, the hollow cylindrical rod, the rod with variable cross section and the rod with a mass on the top is constructed. Then, based on experiments, the strain distribution along the axis and the variation of the strain in these rods are obtained,which are found to be consistent with the theoretical model. Finally, the distribution and the variation of the strain in a toppling vertical slender rod are obtained.

Key words:

vertical rod|d'Alembert principle|topple

中图分类号: 

  • O313.3