爆炸冲击载荷作用下夹层开顶扁球壳的非线性动力稳定性分析

NONLINEAR DYNAMIC STABILITY ANALYSIS OF TRUNCATED SANDWICH SHALLOW SPHERICAL SHELLS SUBJECTED TO EXPLOSIVE IMPACTS

该文对爆炸冲击作用下夹层开顶扁球壳的非线性轴对称动力稳定性问题进行研究。基于Reissner假设和Hamilton原理,得到了夹层开顶扁球壳在冲击载荷作用下的非线性动力控制方程;采用Galerkin方法对非线性动力控制方程进行求解,得到以刚性中心位移表达的非线性动力响应方程,并应用Runge-Kutta方法进行数值求解,采用以刚性中心位移表达的B-R准则确定冲击临界失稳载荷。最后讨论了壳体几何参数、物理参数对夹层开顶扁球壳冲击临界失稳载荷的影响。

This paper performs a nonlinear dynamic stability analysis of truncated sandwich shallow spherical shells under the action of explosive impacts.Based on Reissner＇s hypothesis and Hamilton＇s principle,the nonlinear dynamic governing equation is obtained and solved by Galerkin method and Runge-Kutta method.Budiansky-Roth criterion expressed in terms of rigid center displacements is employed to determine the critical instability load.The effects of geometric parameters and mechanical parameters on impact critical instability load are discussed.