集中力作用于顶点的球壳精确解

The Exact Solution of Spherical Shell Subjected to a Concentrated Load at the Apex

根据球壳轴对称微元平衡分析，提出了内力脉冲的概念，并且由承受集中力的壳顶处点源与奇点相重合的性态研究，正确确立了壳顶条件。

This paper presents the internal force impulse concept based on the equilibrium analysis of the axisymmetrical element of spherical shell,studies the coincidence behaviors of point source and singular point at the apex subjected to a concentrated load,sets up the correct apex conditions ,and gives the exact solutions of spherical shells in two boundary conditions:the hinged supports and the fixed supports.