Symplectic eigenfunction expansion theorem for elasticity of rectangular planes with two simply-supported opposite sides-Reference-Cited by-同舟云学术

Symplectic eigenfunction expansion theorem for elasticity of rectangular planes with two simply-supported opposite sides

Published:2010-10 Issue:10 Volume:31 Page:1241-1250
ISSN:0253-4827
Container-title:Applied Mathematics and Mechanics
language:en
Short-container-title:Appl. Math. Mech.-Engl. Ed.

Author:

Hou Guo-lin,Alatancang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Link

http://link.springer.com/content/pdf/10.1007/s10483-010-1357-9.pdf

Reference14 articles.

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2. Alatancang, Zhang, H. Q., and Zhong, W. X. The canonical Hamiltonian representations in a class of partial differential equation (in Chinese). Acta Mechanica Sinica 31(3), 347–357 (1999)

3. Chen, Y., Zheng, Y., and Zhang, H. Q. The Hamiltonian equations in some mathematics and physics problems. Applied Mathematics and Mechanics (English Edition) 24(1), 22–27 (2003)

4. Ren, W. X. and Alatancang. An algorithm and its application for obtaining some kind of infinitedimensional Hamiltonian canonical formulation. Chinese Physics 16(11), 3154–3160 (2007)

5. Vainberg, M. M. Variational Methods for the Study of Nonlinear Operators, Holden-Day, San Francisco (1964)

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2. A complete symplectic eigenfunction expansion for the elastic thin plate with simply supported edges;Theoretical and Applied Mechanics Letters;2011