Variational Principles of Partial-Interaction Composite Beams
Publication: Journal of Engineering Mechanics
Volume 138, Issue 5
Abstract
This work presents the principle of virtual work and reciprocal theorem of partial-interaction composite beams. The principle of minimum potential energy is also obtained and proved along with the variational formulae for the frequency of free vibration and the critical load of buckling of partial-interaction composite beams. Approximate solutions for bending, vibration, and buckling are finally given to demonstrate their applications. It is shown that the deflections, resonant frequencies, and critical loads of buckling of composite beams under different boundary conditions can be readily obtained with enough accuracy by using these variational principles.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (No. 11172266) and Fundamental Research Funds for the Central Universities of China (Program No. 2009QNA4022).
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 138 • Issue 5 • May 2012
Pages: 542 - 551
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Jun 13, 2011
Accepted: Dec 6, 2011
Published online: Dec 8, 2011
Published in print: May 1, 2012
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