深球壳在横向载荷作用下的静态分析

Static Analysis of a Deep Spherical Shell Under Transverse Loads

研究深球壳在横向均布载荷作用下的静态变形问题.从壳体的小变形理论出发得到深球壳的基本方程,结合其对应的边界条件采用打靶法进行求解,调整所取壳体展开的角度、壳体厚度与半径的比值、壳体外载荷等参数和壳体的变形挠度,通过数值结果分析壳体的变形与各参数之间的关系.对深球壳的线性静态力学行为的研究可以反映这一类弹性构件的静态力学特性.

The static deformation of a deep spherical shell under transverse loads is discussed. Its basic equation obtained is based on the small transmutation theory of the shell. Shooting method is used to resolve the solution,combined with the shell＇s boundary conditions. By means of modulating such parameters as e- volving angle,the ratio of thickness and radius,external loads applied the flexibility deformation of a shell has been got and its relationship with those parameters has been explored through numerical calculations. The linear static mechanical behavior of the shell reflects the static mechanical behavior of elastic components.