摘要
本文采用Reissner假定考虑横向剪切变形的影响,导出弹性矩形板大挠度方程. 本文讨论考虑横向剪切变形的矩形板的弹性屈曲和后屈曲.采用文[8]提供的摄动方法,给出了完善和非完善中厚板的后屈曲平衡路径,并与经典薄板理论结果进行了比较.
This paper gives the basic differential equations for finite deflections of elastic plates according to Reissner's approximate stress distributions. The buckling and post-buckling problems of elastic rectangular plates, including the effect of transverse shear deformation, are solved and discussed, by using perturbation method suggested in rcf. [8]. The postbuckling equilibrium paths of perfect and imperfect moderately thick rectangular plates are presented and compared with the results based on thin plate theory.
出处
《应用数学和力学》
EI
CSCD
北大核心
1990年第4期341-350,共10页
Applied Mathematics and Mechanics