关于修正的功的互等定理的讨论

徐小明; 杨迪雄

doi:10.21656/1000-0887.370021

关于修正的功的互等定理的讨论

doi: 10.21656/1000-0887.370021

大连理工大学工程力学系;工业装备结构分析国家重点实验室(大连理工大学), 辽宁大连 116024

详细信息

作者简介:
徐小明（1986—），男，博士生（E-mail: xxm@mail.dlut.edu.cn);杨迪雄（1970—），男，教授，博士，博士生导师（通讯作者. E-mail: yangdx@dlut.edu.cn）.

中图分类号: O343.2; TU311
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出版历程
- 收稿日期: 2016-01-15
- 刊出日期: 2016-09-15

Discussion on the Modified Reciprocal Theorem of Works

State Key Laboratory of Structural Analysis for Industrial Equipment(Dalian University of Technology); Department of Engineering Mechanics,Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

摘要

摘要: 以线弹性直梁系统为例，对Betti-Maxwell功的互等定理与修正的功的互等定理进行了比较研究.研究发现处于真实状态的两个不同的直梁系统均可等效地转化为同一直梁受两组不同外力作用的系统，进而揭示了修正的功的互等定理中“两个不相同的线弹性体”即为位移和力的边界条件相互等效的同一个结构.所以，“修正的功的互等定理”实际上仍是Betti-Maxwell功的互等定理的另一种表现形式.
- Betti-Maxwell功的互等定理 /
- 修正的功的互等定理 /
- 倒易功 /
- 直梁 /
- 线弹性系统
Abstract: A comparative study was demonstrated between the BettiMaxwell reciprocal theorem of works and the modified reciprocal theorem of works in view of linearelastic beam systems. It is indicated that 2 different beam systems under the real equilibrium states can be equivalently transformed into an identical beam system subjected to 2 sets of different external forces. Moreover, it is revealed that the ‘2 different linear elastic bodies’ in the modified reciprocal theorem of works are the same structure with equivalent boundary conditions of displacements and forces. Consequently, the modified reciprocal theorem of works is actually an alternative representation of the BettiMaxwell reciprocal theorem of works.
- Betti-Maxwell reciprocal theorem of works /
- modified reciprocal theorem of works /
- reciprocal work /
- straight beam /
- linear-elastic system

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参考文献(9)

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