力学与实践 ›› 2020, Vol. 42 ›› Issue (4): 508-510.DOI: 10.6052/1000-0879-19-491

• 教育研究 • 上一篇    下一篇

理想弹性压杆临界挠度的确定

刘荣刚*,1), 边文凤*, 李素超*, 刘伟, 金松波*   

  1. * 哈尔滨工业大学土木工程系,山东威海 264209;
    † 哈尔滨工业大学航天科学与力学系,哈尔滨 150001
  • 收稿日期:2019-12-30 出版日期:2020-08-20 发布日期:2020-08-25
  • 通讯作者: 1)刘荣刚,副教授,从事量子光学和材料力学方面的研究。E-mail: liurg@hitwh.edu.cn

DETERMINATION OF THE CRITICAL DEFLECTION OF A SLENDER COLUMN1)

LIU Ronggang*,1), BIAN Wenfeng*, LI Suchao*, LIU Wei, JIN Songbo*   

  1. * Department of Civil Engineering, Harbin Institute of Technology, Weihai 264209, Shandong, China;
    † Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin 150001, China
  • Received:2019-12-30 Online:2020-08-20 Published:2020-08-25

摘要: 本文使用严格的边界条件,对理想弹性压杆的临界力重新定义。采用挠曲线近似微分方程方法和能量法给出了临界力的极限表达形式,解决了细

Abstract: The connotation of the critical force for the ideally elastic slender column is redefined by using rigorous boundary conditions. Based on the approximate differential equation of the deflection curve and the energy method, the limit expression of the critical force is derived, which can be used for solve the deflection uncertainty problem of slender columns under the critical force.

Key words: critical force, energy method, slender column, boundary condition

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