Hamiltonian System and Simpletic Geometry in Mechanics of Composite Materials(Ⅱ)--Plane Stress Problem

Zhong Wan-xie; Ouyang Hua-jiang

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Zhong Wan-xie, Ouyang Hua-jiang. Hamiltonian System and Simpletic Geometry in Mechanics of Composite Materials(Ⅱ)--Plane Stress Problem[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1031-1035.

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Hamiltonian System and Simpletic Geometry in Mechanics of Composite Materials(Ⅱ)--Plane Stress Problem

Dalian University of Technology, Dalian

Received Date: 1991-08-02
Publish Date: 1992-12-15

Abstract

Abstract

The fundamental theory presented in part(I)^[8] is used to analyze anisotropic plane stress problems.First we construct the generalized variational principle to enter Hamiltonian system and get Hamiltonian differential operator matrix;then we solve eigen problem;finally,we present the process of obtaining analytical solutions and semi-analytical solutions for anisotropic plane stress porblems on rectangular area.
- anisotropy,
- linear theory of elasticity,
- Hamiltonian matrix,
- analytical solution,
- semi-analytical solution/simpletic geometry

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References(8)

References

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