HAMILTONIAN SYSTEM AND SIMPLETIC GEOMETRY IN MECHANICS OF COMPOSITE MATERIALS (Ⅱ)——PLANE STRESS PROBLEM

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (12): 1077-1080.

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HAMILTONIAN SYSTEM AND SIMPLETIC GEOMETRY IN MECHANICS OF COMPOSITE MATERIALS (Ⅱ)——PLANE STRESS PROBLEM

钟万勰, 欧阳华江

Dalian University of Technology, Dalian

收稿日期:1991-08-02 出版日期:1992-12-18 发布日期:1992-12-18

HAMILTONIAN SYSTEM AND SIMPLETIC GEOMETRY IN MECHANICS OF COMPOSITE MATERIALS (Ⅱ)——PLANE STRESS PROBLEM

Zhong Wan-xie, Ouyang Hua-jiang

Dalian University of Technology, Dalian

Received:1991-08-02 Online:1992-12-18 Published:1992-12-18

摘要/Abstract

摘要： 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.

关键词: anisotropy, linear theory of elasticity, Hamiltonian matrix, analytical solution, semi-analytical solution/simpletic geometry

Abstract: 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.

Key words: anisotropy, linear theory of elasticity, Hamiltonian matrix, analytical solution, semi-analytical solution/simpletic geometry

钟万勰;欧阳华江. HAMILTONIAN SYSTEM AND SIMPLETIC GEOMETRY IN MECHANICS OF COMPOSITE MATERIALS (Ⅱ)——PLANE STRESS PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(12): 1077-1080.

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 (English Edition), 1992, 13(12): 1077-1080.

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HAMILTONIAN SYSTEM AND SIMPLETIC GEOMETRY IN MECHANICS OF COMPOSITE MATERIALS (Ⅱ)——PLANE STRESS PROBLEM

HAMILTONIAN SYSTEM AND SIMPLETIC GEOMETRY IN MECHANICS OF COMPOSITE MATERIALS (Ⅱ)——PLANE STRESS PROBLEM

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