考虑横向剪切效应时圆柱型正交各向异性球面扁壳在横向载荷作用下的非线性压屈

本文应用参考文献^[1]所介绍的修正迭代法探讨了横向载荷作用下,圆柱型正交各向异性圆底球面扁壳的非线性稳定同题,得出了这一同题的解析解。在求解过程中,本文放弃了经典板壳理论的Kirchhoff假定,从而考虑了横向剪应变对于弯曲变形的影响, 计算结果表明:本文的分析方法和结论是正确的;对于正交各向异性复合材料板壳而言,横向剪切效应是值得注意的。

NONLINEAR BUCKLING CONSIDERING THE EFFECT OF TRANSVERSE SHEAR DEFORMATION OF CYLINDRICALLY ORTHOTROPIC SPHERICAL SHALLOW SHELLS UNDER TRANSVERSE LOAD

In this paper, the problem of nonlinear buckling of cylindrically orthootropic spherical shallow shells under transverse load is discussed by use of revision iteration method introduced by references, and analytical solution of the problem is obtained. In the course of solving, Kirchhoff's supposition of classical plates and shelles theories is given up and therefor the effect of transverse shear deformation on bending deformation is considered. Calculation results show the theoritical analysis and numerical results are crrect and as far as cylindrically orthotropie composite material plates and shells, the effect of transverse shear deformation is worth notice.