两自由度强滞后非线性系统梯形脉冲的冲击研究

The Research of the Trapezoidal Pulse Impact on the 2-DOF Non-Linear System with Strong Hysteresis

建立了两自由度的滞后非线性包装缓冲模型,得到系统的振动方程,经过一系列变换得到振动微分方程的状态变量,运用四阶变步长Runge-Kutta方法,算出此非线性系统在梯形脉冲冲击下的冲击响应谱,得出质量比1、刚度比2对冲击谱曲面的影响。冲击谱曲面能全面反映包装系统在不同无量纲冲击时间0作用下的影响规律。

The packaging buffer model of 2-DOF non-linear system with strong hysteresis was established and the vibration equations for the system were gained. After a series of transform, the state variables of the vibration differential equations were obtained. The response spectrum of non-linear system under the trapezoidal pulse shock was calculated using the fourth order variable step Runge-Kuntta method. The influence of mass ratio （β1）, stiffness （β2） on the surface of response spectrum, which can fully reflect the dimensionless impact time （τ0） on the packaging system of law, was studied.