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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao International Journa...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
International Journal of Mechanical Sciences
Article . 2012 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
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Variational principle of partial-interaction composite beams using Timoshenko's beam theory

Authors: Rongqiao Xu; Guannan Wang;

Variational principle of partial-interaction composite beams using Timoshenko's beam theory

Abstract

Abstract Based on the kinematic assumptions of Timoshenko's beam theory, this paper formulates the principle of virtual work and reciprocal theorem of work for the partial-interaction composite beams. Then the principle of minimum potential energy and minimum complementary energy are derived and proved. The variational principles for the frequency of free vibration and critical load of buckling are also deduced afterward as well as the mixed variational principle with two types of variables. These variational formulae are all rendered in terms of shearing force, bending moment and axial force as well as corresponding deflection, rotation angle and interlayer slip, which can be applied conveniently for analyzing of composite beams. According to the proposed variational principles, the governing equations of static bending, free vibration and buckling can be obtained for the partial-interaction composite members as well as the corresponding boundary conditions. Finally, some numerical examples are presented and compared with the other solutions available in literatures to demonstrate the present theory.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
49
Top 10%
Top 10%
Top 10%
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