球壳轴对称弯曲的精确四阶挠度微分方程

Refined Differential Equations of Fourth Order's Deflections in Axial Symmetrical Bending Problems of Spherical Shell

本文提出了轴对称球壳精确的四阶挠度微分方程.本人在《应用数学和力学》学报上发表了精确的五阶挠度微分方程,本文是在此基础上进一步产生了精确的四阶挠度微分方程.本文所提出的四阶挠度微分方程及其摄动解具有易于满足边界条件和收敛快的优点.

The paper deals with the research of refined differential equations of fourth order's deflections of axial symmetrical spherical shell.Based on the refined differential e- quqtions of fifth order's deflections published on the Journal of Applied Mathe- matics and Mechanics,the refined differential equations of fourth order's deflec- tions are proposeds of which and their perturbation solutions have the feature of the speed of convergence is fast and easy to meet the boundary conditions.