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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

卿光辉 张小欢

卿光辉, 张小欢. 基于状态方程矩形层合板多种边界条件下的解析解[J]. 应用数学和力学, 2015, 36(11): 1167-1177. doi: 10.3879/j.issn.1000-0887.2015.11.005
引用本文: 卿光辉, 张小欢. 基于状态方程矩形层合板多种边界条件下的解析解[J]. 应用数学和力学, 2015, 36(11): 1167-1177. doi: 10.3879/j.issn.1000-0887.2015.11.005
QING Guang-hui, ZHANG Xiao-huan. Analytical Solutions of Rectangular Laminated Plates Under Various Boundary Conditions in the State Space[J]. Applied Mathematics and Mechanics, 2015, 36(11): 1167-1177. doi: 10.3879/j.issn.1000-0887.2015.11.005
Citation: QING Guang-hui, ZHANG Xiao-huan. Analytical Solutions of Rectangular Laminated Plates Under Various Boundary Conditions in the State Space[J]. Applied Mathematics and Mechanics, 2015, 36(11): 1167-1177. 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
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

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

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

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