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期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

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收稿时间：	1991-08-02
Hamiltonian system and simpletic geometry in mechanics of composite materials (II) —Plane stress problem

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. DOI: 10.1007/BF02456146

Authors:	Zhong Wan-xie Ouyang Hua-jiang

Affiliation:	(1) Dalian University of Technology, Dalian

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 problems on rectangular area.

Keywords:	anisotropy linear theory of elasticity Hamiltonian matrix analytical solution semi-analytical solution/simpletic geometry
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