王焕定. 再论变形体虚功原理[J]. 力学与实践, 2011, 33(2): 93-95. DOI: 10.6052/1000-0879-lxysj2010-010
引用本文: 王焕定. 再论变形体虚功原理[J]. 力学与实践, 2011, 33(2): 93-95. DOI: 10.6052/1000-0879-lxysj2010-010
A further discussion of virtual work principle for deformable body[J]. MECHANICS IN ENGINEERING, 2011, 33(2): 93-95. DOI: 10.6052/1000-0879-lxysj2010-010
Citation: A further discussion of virtual work principle for deformable body[J]. MECHANICS IN ENGINEERING, 2011, 33(2): 93-95. DOI: 10.6052/1000-0879-lxysj2010-010

再论变形体虚功原理

A further discussion of virtual work principle for deformable body

  • 摘要: 在现有结构力学教材中,关于虚功原理的表述大体上可以分为4大类: 虚功原理是一充分必要性命题; 虚功原理是一充分必要性命题但只证明必要性部分; 虚功原理仅仅是必要性命题,但它有2种``应用''------虚位移原理和虚力原理; 虚功原理仅仅是必要性命题,它和虚位移原理、虚力原理是有异同的. 即使是最近出版的``十一五''规划教材中,也还存在虚功原理是一充分必要性命题的提法. 为此,再次给出原理的正确阐述和证明,指出需要对虚功原理和虚位移原理加以区分,阐明它们之间的异同.

     

    Abstract: In the existing structural mechanics textbook, the expression of virtual work principle in general can be divided into four categories: Virtual work principle is one type of sufficiency and necessity. It only proves necessity part. It only necessity. It has two applications - virtual displacement principle and virtual force principle. Virtual work principle only is the proposition of necessity, virtual work principle and virtual displacement principle and virtual force principle is the similarities and differences. In the recently published in the "11th Five " plan textbooks, virtual work principle still is part of sufficiency and necessity. Therefor we give the correct exposition and certification of this principle to indicate that is needs distinction for virtual work principle and virtual displacement principle, we also elaborate on the similarities and differences between them.

     

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