基于状态方程矩形层合板多种边界条件下的解析解

卿光辉; 张小欢

doi:10.3879/j.issn.1000-0887.2015.11.005

基于状态方程矩形层合板多种边界条件下的解析解

doi: 10.3879/j.issn.1000-0887.2015.11.005

中国民航大学航空工程学院, 天津 300300

基金项目: 国家自然科学基金（60979001）

详细信息

作者简介:
卿光辉(1968—)，男，湖南人，教授，博士(E-mail: qingluke@126.com)；张小欢(1989—)，男，安徽人，硕士生(通讯作者. E-mail: huan10595@126.com).

中图分类号: O342; O343
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- 文章访问数: 1323
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出版历程
- 收稿日期: 2015-06-30
- 修回日期: 2015-09-30
- 刊出日期: 2015-11-15

Analytical Solutions of Rectangular Laminated Plates Under Various Boundary Conditions in the State Space

College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, P.R.China

Funds: The National Natural Science Foundation of China(60979001)

摘要

摘要: 以边界位移函数方法为基础，推导了矩形层合板多种边界条件下的非齐次状态方程和定解条件.将非齐次状态方程增维齐次化，可避免积分时可能出现的数值病态问题，并简化了计算过程.边界位移沿厚度方向非线性分布假设可以适当减少数值结果收敛要求的薄层数.数值结果可作为其它数值法或半解析法的标准解.该文的方法可为分析更加复杂的边界条件问题提供参考.
- 状态空间 /
- 矩形层合板 /
- 边界位移函数 /
- 解析解
Abstract: Based upon the method of boundary displacement functions, the non-homogeneous state equations and the control equations for the solutions of rectangular laminated plates under various boundary conditions were derived. Through dimension expansion, the non-homogeneous equations were converted to homogeneous equations, thus the possible problems of numerical ill-conditions were avoided, and the calculation process was simplified for the homogeneous equations. An introduction of the hypothesis of nonlinear boundary displacement distribution along the thickness direction reasonably decreased the number of sub-layers for the convergence of numerical results. The numerical results in the examples provide standard referential solutions for other numerical or semi-analytical methods. The present method is suitable for the problems under more complex boundary conditions.
- state space /
- rectangular laminated plate /
- boundary displacement function /
- analytical solution

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参考文献(18)

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文章访问数: 1323
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PDF下载量: 680
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基于状态方程矩形层合板多种边界条件下的解析解

doi: 10.3879/j.issn.1000-0887.2015.11.005

作者简介:
卿光辉(1968—)，男，湖南人，教授，博士(E-mail: qingluke@126.com)；张小欢(1989—)，男，安徽人，硕士生(通讯作者. E-mail: huan10595@126.com).

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Analytical Solutions of Rectangular Laminated Plates Under Various Boundary Conditions in the State Space

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留言板

基于状态方程矩形层合板多种边界条件下的解析解

doi: 10.3879/j.issn.1000-0887.2015.11.005

作者简介: 卿光辉(1968—)，男，湖南人，教授，博士(E-mail: qingluke@126.com)；张小欢(1989—)，男，安徽人，硕士生(通讯作者. E-mail: huan10595@126.com).

计量

出版历程

Analytical Solutions of Rectangular Laminated Plates Under Various Boundary Conditions in the State Space

计量

出版历程

目录

作者简介:
卿光辉(1968—)，男，湖南人，教授，博士(E-mail: qingluke@126.com)；张小欢(1989—)，男，安徽人，硕士生(通讯作者. E-mail: huan10595@126.com).