开孔浅球壳的非线性动力响应及其动力稳定

Nonlinear Dynamic Response and Dynamic Buckling of Shallow Spherical Shells with Circular Hole

本文建立了具轴对称变形、考虑横向剪切影响的浅球壳的非线性运动方程:对周边弹性支承开孔浅球壳的非线性静、动力响应及动力稳定问题进行了探讨.在解题方法上,对位移函数在空间上采用正交配点法离散.在时间上采用平均加速度法(Newmark-β法)离散.变求解一组非线性微分方程为求解一组线性代数方程.文中给出了不同情况下的若干数值结果,且与有关文献的结果作了比较.

In this paper, the nonlinear equations of motion for shallow spherical shells with axisymtnetric deformation including transverse shear are derived. The nonlinear static and dynamic response and dynamic buckling of shallow spherical shells with circular hole on elastically restrained edge are investigated. By using the orthogonal point collocation method for space and Newmark scheme for time, the displacement functions are separated and the nonlinear differential equations are replaced by linear algebraic equations to seek solutions,The numerical results are presented for different cases and compared with available data.