supported by the National Natural Science Foundation of China (10772039 and 10632030);the National Basic Research Program of China (973 Program) (2010CB832704)
This paper analyses the bending of rectangular orthotropic plates on a Winkler elastic foundation.Appropriate definition of symplectic inner product and symplectic space formed by generalized displacements establish d...
Project supported by the National Natural Science Foundation of China (Nos. 10972182,10772147,and 10632030);the National Basic Research Program of China (No. 2006CB 601202);the National 111 Project of China (No. B07050);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment (No. GZ0802);the Doctoral Foundation of Northwestern Polytechnical University (No. CX200908);the China Postdoctoral Science Foundation (No. 20090450170);the Northwestern Polytechnical University Foundation for Fundamental Research (No. JC200938)
The wave propagation problem in the nonlinear periodic mass-spring structure chain is analyzed using the symplectic mathematical method. The energy method is used to construct the dynamic equation, and the nonlinear d...
supported by the National Natural Science Foundation of China (10972182, 10772147, 10632030);the National Basic Research Program of China (2006CB 601202);the Doctorate Foundation of Northwestern Polytechnical University (CX200908);the Graduate Starting Seed Fund of Northwestern Polytechnical University (Z200930);the NPU Foundation for Fundamental Research;the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment (GZ0802)
On the basis of the finite element analysis, the elastic wave propagation in cellular structures is investigated using the symplectic algorithm. The variation principle is first applied to obtain the dual variables an...
Supported by the National Natural Science Foundation of China (Grant Nos.10572119,10772147,and 10632030);the Doctoral Program Foundation of Education Ministry of China (Grant No.20070699028);the China Postdoctoral Science Foundation (Grant No. 20090450170);the National Natural Science Foundation of Shaanxi Province of China (Grant No.2006A07);the NPU Foundation for Fundamental Research and the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment (Grant No.GZ0802)
In this paper,the complex multi-symplectic method and the implementation of the generalized sinhGordon equation are investigated in detail.The multi-symplectic formulations of the generalized sinh-Gordon equation in H...