摘要
本文应用变分法导出了具有软夹心的夹层矩形板的非线性弯曲理论的基本方程和边界条件.然后,使用摄动法研究了均布横向载荷作作用下简支夹层矩形板的非线性弯曲问题,得到了相当精确的解析解.
In this paper, fundamental equations and boundary conditions of the nonlinear bending theory for a rectangular sandwich plate with a soft core are derived by means of the method of calculus of variations. Then the nonlinear bending for a simply supported rectangular sandwich plate under the uniform lateral load is investigated by use of the perturbation method and a quite accurate analytic solution is obtained.
出处
《应用数学和力学》
EI
CSCD
北大核心
1993年第3期203-218,共16页
Applied Mathematics and Mechanics
关键词
矩形板
非线性
弯曲
夹层结构
rectangular sandwich place, nonlinear bending