冲击荷载作用下轴向运动层合板非线性动力学响应

摘要

研究轴向运动层合板在冲击荷载作用下的非线性动力学响应。基于单层材料本构关系及大变形理论，考虑几何非线性得到冲击荷载作用下的轴向运动层合板非线性动力学控制方程；通过Galerkin法对控制方程进行离散得到模态方程组，用Runge-Kutta法对模态方程组求解，得到冲击荷载作用下轴向运动层合板的动态响应。讨论了轴向速度、冲击波峰值和相位持续时间对轴向运动层合板动力学响应的影响。%The nonlinear dynamic response of laminated plates with axial motion subjected to impact load is studied. First-ly, based on the constitutive relation of the material of each layer and large deformation theory, the nonlinear dynamical equa-tion of the plates is obtained. Then, the modal equations are gained through Galerkin method and solved by Runge-Kutta meth-od. Finally, the effects of axial motion velocity, the peak reflection pressure, the positive pressure phase duration of the impulse on the nonlinear dynamic response are investigated.