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采用适于夹层壳的直线假设扁壳理论，应用三角级数法，导出了扁球壳齐次方程的解析解。进而分析了在顶点作用法向集中力和在偏心集中力作用下的解。计算了在偏心集中力作用下带孔球壳的位移和应力，并将结果与经典理论的结果进行了比较分析，结果表明，在集中力作用处和孔边处两种理论结果明显不同。
Using the straight-line hypothetical shallow shell theory suitable for the sandwich shell, the analytic solution of the homogeneous equation of the shallow spherical shell is derived by using the triangular series method. Then the solutions of the normal concentration at the vertex and the solution under the concentrated eccentric force are analyzed. The displacement and stress of the holed spherical shell under the eccentric concentrated force are calculated. The results are compared with the results of classical theory. The results show that the two theoretical results are obviously different at the concentrated force and at the edge of the hole.