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Displacement fundamental equations and analysis of governing equations of the circular moderately thick shallow spherical shells

机译：圆形浅浅球壳的圆形基础方程及其控制方程分析

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摘要

Displacement fundamental equations of moderately thick shallow spherical shells in polar coordinates concerning five independent variables, i.e. five middle surface displacements are established, based on the displacement fundamental equations of the moderately thick shells by transverse shearing deformation and basic hypothesis on shallow shells. Four assistant displacement functions are introduced to solve displacement fundamental equations of circular moderately thick shallow spherical shells, which are tenth-order differential equations with variable coefficient, then the decoupled governing differential equations are built up, and five displacement components through four assistant displacement functions are obtained.
机译：关于五个独立变量的极性坐标中适度浅球壳的位移基础方程，即建立了五个中间表面位移，基于横壳横向剪切变形和基本假设的中等厚壳的位移基础等分比。引入了四个辅助位移功能以解决圆形厚浅球壳的位移基本方程，这是具有变系数的第十级微分方程，然后建立了解耦的控制微分方程，并通过四个助理位移功能进行了五个位移组件获得。

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