考虑横向剪切变形的扁球壳在集中力作用下的分析

Analysis of shallow spherical shells with transverse shear deformations under concentrated loads

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。

An exact solution is derived for a shallow spherical shell with transverse shear deformationsby defining the new functions similar to Tomshon functions.The singular solutions for a shallow spherical shell subjected to concentrated loads at the pole and eccentric concentrated loads are ob-tained.The differences between the results of the improved theory and that of the classical theo-ry are discussed.Numerical results for the displacement and stress results of an example are pre-sented in detail.