轴向冲击下非线性弹性圆柱壳轴对称响应仿真

采用增量数值解法分析了轴向冲击下非线性弹性圆柱壳的轴对称响应。应力一应变关系采用Ramberg-Osgood表示法，运动控制方程采用Karman-Donnell变形方程。对时间积分采用变步长Runge-Kutta方法，对壳单元离散采用有限差分法来求解运动方程，并采用科学计算软件Matlab对计算结果进行了动态仿真。

Simulation of Axisymmetric Response of Nonlinear Elastic Cylindrical Shells Under Axial Impact

The numerical increment method is offered to analyze the axisymmetric response of nonlinear elastic cylindrical shells under axial impact. The strain-stress relations are described by the Ramberg-Osgood representation, and the equations of motion are based on the Karman-Donnell relations. The Runge-Kutta method with respect to time and the finite difference method with respect to the spatial coordinate are employed to derive a solution; moreover, a dynamic simulation of the response is achieved by using a kind of technical computing tool.