爆炸冲击下复合材料层合扁球壳的动力屈曲

Dynamic buckling of laminated composite shallow spherical shells subjected to explosive impact

研究计及横向剪切的复合材料层合扁球壳在爆炸冲击载荷作用下的非线性轴对称动力屈曲问题。通过在复合材料层合扁球壳非线性稳定性的基本方程中增加横向转动惯量项并引入R.H.Cole理论的爆炸冲击力,得到爆炸冲击下复合材料层合扁球壳的动力控制方程,应用Galerkin方法得到用顶点挠度表达的爆炸冲击动力响应方程,并采用Runge-Kutta方法进行数值求解,采用Budiansky-Roth准则确定冲击屈曲的临界载荷,讨论了壳体几何尺寸对复合材料层合扁球壳冲击屈曲的影响;数值算例表明,此方法是可行的。

The nonlinear dynamic buckling for laminated composite shallow spherical shells, which include transverse shear deformation, under the action of explosive impact was investigated. By means of the basic equations of nonlinear buckling for laminated composite shallow spherical shells, and adding the transverse inertia term and introducing the explosive load of R. H. Cole theory, the nonlinear dynamic governing equation for laminated composite shallow spherical shells subjected to explosive impact load was gained. The nonlinear dynamic responsive equation was obtained by Galerkin method and solved by Runge-Kutta method. Budiansky-Roth motion criterion expressed by peak displacement was employed to determine the critical explosive impact buckling load. The effects of geometric parameters on dynamic buckling of laminated composite shallow spherical shells were discussed. Numerical results show feasibility of the Galerkin Method.