Discussion on the Modified Reciprocal Theorem of Works

XU Xiao-ming; YANG Di-xiong

doi:10.21656/1000-0887.370021

Volume 37 Issue 9

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XU Xiao-ming, YANG Di-xiong. Discussion on the Modified Reciprocal Theorem of Works[J]. Applied Mathematics and Mechanics, 2016, 37(9): 993-998. doi: 10.21656/1000-0887.370021

Citation:

XU Xiao-ming, YANG Di-xiong. Discussion on the Modified Reciprocal Theorem of Works[J]. Applied Mathematics and Mechanics, 2016, 37(9): 993-998. doi: 10.21656/1000-0887.370021

Citation:

XU Xiao-ming, YANG Di-xiong. Discussion on the Modified Reciprocal Theorem of Works[J]. Applied Mathematics and Mechanics, 2016, 37(9): 993-998. doi: 10.21656/1000-0887.370021

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Discussion on the Modified Reciprocal Theorem of Works

doi: 10.21656/1000-0887.370021

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

Received Date: 2016-01-15
Publish Date: 2016-09-15

Abstract

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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References(9)

References

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