扁球壳微分方程的分析解

扁球壳微分方程的分析解窦家维（西安联合大学师范学院数学系西安７１００６１；作者，女，３２岁，讲师）１扁球壳的微分方程在非轴对称变形时，扁球壳的应力函数中和径向位移Ｗ所满足的基本微分方程为，、。＿＿。Ｊ］１１）＿＿＿＿．＿＿．．＿。＿＿＿式中算子而是与...

Analytic solution of equation on oblate spheroid shell

With a partial differential equation,the stress and displacement function on oblate spheriod shell is discussed.The study of the partial differential equation is reduced to the study of a Bossel equation. The general solution of the Bessel equation can be obtained.Thus the stress at any point on the oblate spheroid shell can be calculated. As an application, it can be used as a theoretical basis in engineering design.