椭圆截面柱壳轴压下的稳定性分析

摘要

建立了椭圆截面柱壳在均布轴压作用下的位移形式的基本控制方程.对两端筒支的椭圆截面柱壳,假设其位移函数,采用伽辽金积分得到线性方程组,得到壳体稳定性的临界条件,从而得到椭圆截面柱壳轴压下临界压力的计算公式,然后对得到的临界力进行了讨论.%Basic frictions in the form of displacement are established about elliptical cylindrical shell. Assuming the displacement function of both ends supported elliptical cylindrical shell, the local buckling critical load subjected to axial compression are solved using Galerkin method. Then the critical loads are discussed compared with cylindrical shell.