Symplectic Superposition Method for Benchmark Flexure Solutions for Rectangular Thick Plates
Publication: Journal of Engineering Mechanics
Volume 141, Issue 2
Abstract
Benchmark flexure solutions for rectangular thick plates with combinations of clamped and simply supported edges, as well as for cantilever rectangular thick plates, are obtained by using an up-to-date symplectic superposition method in the Hamiltonian system. The method developed offers a rational way to obtain sufficiently accurate solutions to thick-plate problems, which can yield more benchmark solutions to similar problems. Comprehensive numerical results are presented for the future validation of various approximate/numerical methods.
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Acknowledgments
The authors gratefully acknowledge the support of the National Natural Science Foundation of China (Grant 11302038), the National Basic Research Program of China (973 Program, Grant 2014CB049000), and the China Postdoctoral Science Foundation (2012M520619). R. Li acknowledges the support of the Fundamental Research Funds for the Central Universities of China (DUT12RC(3)44). The contributions of the anonymous reviewers are greatly appreciated.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 2 • February 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Nov 26, 2013
Accepted: May 22, 2014
Published online: Jul 30, 2014
Published in print: Feb 1, 2015
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