四边固支扁球壳的解析解法

以弯矩理论的单级数形式解析解为基础，应用迭加原理和将无穷级数展成无穷线性方程组的方法，得出均布荷载作用下四边固支扁球壳的闭合解。此解数学、力学模型简单、明确，使计算简化且能控制误差。

An Analytical Solution of the ShallowSpherical Shell with Four Edges Clamped

On the basis of a single series analytical solution of the bending theory, byintroducing the principle of superposition and by the method of expanding the infinite series into an infinite system of linear equations, an analytical solution or the shallow spherical shell with four edges clamped .under uniform distributed load is presented. Themathematical and mechanical model of the solution is simple and evident, can simplify thecalculation and control the error.