摘要
单位载荷法是一种求解位移的通用方法,在材料力学能量方法中占据重要地位。使用虚位移模式表述单位载荷方法时,满足位移边界条件是虚位移的主要限制条件。在静不定问题、特别是带有自由边界条件单位载荷系统构造时,对于该限制条件的理解决定了使用单位载荷方法的灵活性。本文使用几个经典例题剖析该限制条件的作用,为教学活动中解释相关问题提供参考。
Unit-load method is a general method to solve displacement, which plays an important role in the energy method of material mechanics. When using virtual displacement mode in the unit-load method, the main limiting condition for virtual displacement is to satisfy the displacement boundary condition. For statically indeterminate problems, especially for the unit-load system construction with free boundary conditions, the understanding of the limiting condition determines the flexibility of using the unit-load method. In this paper,several classical examples are used to analyze the effect of this restriction, and to provide reference for explaining related problems in teaching activities.
作者
李敏
李依伦
陈伟民
LI Min;LI Yilun;CHEN Weimin(School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China;Lab.MSSMat,CentraleSupelec,Universite de Paris-Saclay,Paris 91190,France;Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China;School of Engineering Sciences,University of Chinese Academy of Sciences,Beijing 100049,China)
出处
《力学与实践》
北大核心
2022年第2期368-372,共5页
Mechanics in Engineering
基金
中科院先导项目(XDA22000000)资助。
关键词
单位载荷法
虚功原理
边界条件
unit-load method
virtual work principle
boundary conditions
