复合材料细长柱受冲击荷载动力屈曲研究

DYNAMIC BUCKLING OF A COMPOSITE SLENDER COLUMN UNDER IMPACT LOADS

对复合材料细长柱在轴向冲击荷载下的动力屈曲问题进行了研究.基于单层材料本构方程及D'Alembert原理,建立了结构轴向及横向耦合振动方程.用Laplace变换得到轴向运动解析解,并用Galerkin法对结构横向振动进行求解.用数值方法讨论了冲击质量、冲击速度,复合材料铺层角等对结构临界动力屈曲时间及冲击物与结构接触时间的影响.结果表明随着冲击质量、冲击速度,复合材料铺层角增大,结构动力屈曲时间减小;冲击速度,铺层角对冲击块与结构的接触时间无影响.

This paper investigates the dynamic buckling of a composite slender column under axial impact loads.Coupled axial and lateral vibration equations are constructed by using the constitutive equation of one layer and D＇Alembert＇s principle. The analytical solution of axial motion is derived by employing Laplace transform,and the transverse response is also studied by applying Galerkin＇s method. The influences of impact mass,impact velocity,and fiber angle on the dynamic buckling time and the contact duration are evaluated. Results show that the dynamic buckling time decreases with the increase of impact mass,impact velocity,and fiber angle. However,the impact velocity and fiber angle show negligible influence on the contact duration.