基于辛对偶体系的层合板自由边缘效应的分析解

姚伟岸; 聂臆瞩; 肖峰

doi:10.3879/j.issn.1000-0887.2011.09.001

基于辛对偶体系的层合板自由边缘效应的分析解

doi: 10.3879/j.issn.1000-0887.2011.09.001

大连理工大学工业装备结构分析国家重点实验室,辽宁大连 116024;

基金项目: 国家973重点基础研究计划资助项目(2010CB832704);国家自然科学基金资助项目(10772039)

详细信息

作者简介:
姚伟岸(1963- ),男,辽宁人,教授,博士(联系人.Tel:+86-411-84707154;E-mail:ywa@dlut.edu.cn).

中图分类号: O343
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- 被引次数: 0
出版历程
- 收稿日期: 2011-04-02
- 修回日期: 2011-07-01
- 刊出日期: 2011-09-15

Analytical Solutions to Edge Effect of Composite Laminates Based on Symplectic Dual System

State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China;
Department of Computer Science, Dalian Medical University, Dalian, Liaoning 116044, P. R. China

摘要

摘要: 在原变量——位移和其对偶变量——应力组成的辛几何空间，建立了Pipes-Pagano模型的复合材料层合板问题的辛对偶求解体系．与传统的单类变量不同，辛对偶变量有利于同时描述层间位移连续性条件和应力平衡条件．进入辛对偶体系以后，就可以应用辛对偶体系的统一解析求解方法，如分离变量和辛本征展开的方法对层合板问题进行解析分析和求解．对层合板自由边缘效应的分析求解，验证了辛对偶体系的方法对层合板问题的分析求解是十分有效的．
- 层合板 /
- 边缘效应 /
- Pipes-Pagano模型 /
- 层间应力 /
- 辛对偶体系
Abstract: In symplectic space composed of the original variables-displacements and their dual variables-stresses,the symplectic solution for the composite laminated based on the Pipes-Pagano model was established.In contrast to traditional technique,the symplectic dual variables include displacement components as well as stress components,so the compatibility conditions of displacement and stress at interfaces can be formulated simultaneously.After introducing into the symplectic dual system,the uniform scheme,such as the separation of variables and symplectic eigenfunction expansion method,can be implemented conveniently to analyze problem of composite laminates.An analytical solution for free edge effect of composite laminates was gained,and it shows that the symplectic dual method is efficient for the analysis of composite laminates.
- composite laminates /
- edge effect /
- Pipes-Pagano model /
- interlaminar stresses /
- symplectic dual system

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参考文献(12)

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