引用本文: 李敏, 李依伦, 陈伟民. 单位载荷法中虚位移限制条件辨析1)[J]. 力学与实践, 2022, 44(2): 368-372.
LI Min, LI Yilun, CHEN Weimin. DISCUSSION ON LIMITATION OF VIRTUAL DISPLACEMENT IN UNIT-LOAD METHOD1)[J]. MECHANICS IN ENGINEERING, 2022, 44(2): 368-372.
 Citation: LI Min, LI Yilun, CHEN Weimin. DISCUSSION ON LIMITATION OF VIRTUAL DISPLACEMENT IN UNIT-LOAD METHOD1)[J]. MECHANICS IN ENGINEERING, 2022, 44(2): 368-372.

## DISCUSSION ON LIMITATION OF VIRTUAL DISPLACEMENT IN UNIT-LOAD METHOD1)

• 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。

Abstract: 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.

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