摘要
研究了夹层扁锥壳在三角脉冲冲击载荷作用下的非线性动力屈曲问题。基于Reissner假设和Hamilton原理,导出了夹层扁锥壳在冲击载荷作用下的非线性动力控制方程;采用Galerkin方法和Runge-Kutta方法对控制方程进行数值求解,得到非线性动力响应曲线;应用Budiansky-Roth准则确定了冲击屈曲的临界荷载;讨论了壳体几何尺寸和物理参数对夹层扁锥壳冲击屈曲的影响;数值算例表明本文方法是可行的。
The nonlinear dynamic buckling of shallow conical sandwich shells under the action of a triangular pulse is investigated.Based on Reissner 's Hypothesis and variational principle,the nonlinear dynamic governing equation is obtained and solved by Galerkin and Runge-Kutta methods.Budiansky-Roth motion criterion expressed by the peak displacement is adopted to define the critical impact buckling load.The effects of geometric and physical parameters on the impact buckling of shallow conical sandwich shells are discussed.Numerical results show the feasibility of the Galerkin Method.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第S2期62-66,共5页
Acta Scientiarum Naturalium Universitatis Sunyatseni
关键词
夹层扁锥壳
三角脉冲
冲击屈曲
shallow conical sandwich shells
triangular pulse
nonlinear dynamic buckling
