Plane Elasticity Sectorial Donain and the Hamiltonian System

Zhong Wan-xie

Volume 15 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(12): 1057-1066

Zhong Wan-xie. Plane Elasticity Sectorial Donain and the Hamiltonian System[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1057-1066.

Citation:

Zhong Wan-xie. Plane Elasticity Sectorial Donain and the Hamiltonian System[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1057-1066.

Citation:

Zhong Wan-xie. Plane Elasticity Sectorial Donain and the Hamiltonian System[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1057-1066.

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Plane Elasticity Sectorial Donain and the Hamiltonian System

Zhong Wan-xie

Dalian Univetsity of Technology, Dalian

Received Date: 1993-12-24
Publish Date: 1994-12-15

Abstract

Abstract

The governing equations of plane elasticity in sectorial domain are derived to be in Hamiltoinan form via variable substitutes and variationl principles. The method of separation of variables and eigenfunction expansion method are derive to solve the finite element analytically for the sectorial domain elasticity problem, so that such kind of analytical element can be installed into FEM program systems. It demonstrates the potential of the Hamiltonian system theory and symplectic mathematics.
- elasticit,
- Hamiltonian system,
- symplectic

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References(10)

References

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