热环境中夹层圆板的过屈曲分析  

Post-buckling analysis of circular sandwich plates in thermal environment

作　　者：杨静宁[1] 邱平[1] 甘文艳[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2010年第2期165-167,共3页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(0710RJZA058)

摘　　要：研究夹层圆板在非均匀升温下的几何非线性弯曲和过屈曲问题.基于层合板理论,以中面位移为基本未知量推导夹层圆板的非线性控制方程,采用打靶法对夹层圆板在周边不可移简支边界条件下的问题进行数值求解.得到夹层圆板在均匀升温下的屈曲和过屈曲响应,以及在非均匀升温下的非线性热弯曲和过屈曲构形,分析和讨论横向温度的变化对变形的影响.数值结果表明,刚度对夹层圆板的临界载荷有较大的影响.Geometrically nonlinear bending and buckling of circular sandwich plates subjected to non-uniform temperature rise was investigated in this paper.On the basis of sandwich plate theory,nonlinear governing equations of circular sandwich plate were derived in terms of its middle plane displacements.Numerical solutions of the nonlinear boundary value problem with immovable and simply supported boundary were obtained by using shooting method.The critical buckling and post-buckling response and post-bukling configuration of the uniformly heated plate was obtained.Then,for non-uniform temperature rise,the nonlinear thermal bending of the plate were obtained,also.Effect of in-plane and transverse temperature variation on deformations was analyzed.Numerical result showed that the stiffness had a great effect on critical buckling load of circular sandwich plates.

关 键 词：夹层圆板 过屈曲 打靶法 数值解 

分 类 号：O343.8[理学—固体力学]