摘要
本文根据Reissner假设讨论了内外边界固支并在外边界上受面内径向均匀压力作用的环形夹层板的轴对称屈曲状态.首先给出了屈曲问题的基本方程;其次,用打靶法对一些参数值给出了最小的临界载荷;最后讨论了在临界载荷附近屈曲状态的存在性及其渐近形式.
In this paper, the axisymmctric buckled states of an annular sandwich plate (Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer edge are studied. Firstly, the basic equation of the buckled problem is derived. Secondly, the critical loads for some parameters are obtained by using the shooting method. Finally, We discuss the existence of the buckled states and obtain the asymptotic expansions of the buckled states in the vicinity of the critical loads.
出处
《应用数学和力学》
CSCD
北大核心
1992年第7期599-604,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目
关键词
夹层板
临界载荷
环形
屈曲状态
sandwich plate, shooting method, critical load, buckled state
