有色噪声激励下非线性吸振器的能量传递

Energy Transfer of Nonlinear Vibration Absorber under Colored Noise Excitation

将双稳态振子作为非线性吸振器,建立了含非线性吸振器的主系统力学模型,给出了有色噪声激励下系统的控制方程并进行了量纲一化。借助数值仿真,研究了系统初值、调谐频率比、质量比、阻尼系数对主系统和非线性吸振器振动能量的影响规律。通过系统结构参数的逐步优化选择,获得了将主系统振动能量最小化并使非线性吸振器振动能量最大化的最优结构参数配置区间。

Bistable oscillator was adopted as nonlinear vibration absorber herein. Mechanics model of main system with a nonlinear vibration absorber system was established. Nondimensional governing equation of the main system with the nonlinear vibration absorber system was obtained under colored noise excitation. Effect laws of structural parameters on vibration energy of the nonlinear vibration ab-sorber and the main system were obtained by means of simulations, such as initial condition, tuning frequency ratio？ mass ratio and damping coefficient. Optimal parameter configuration conditions of the nonlinear vibration absorber with maximum vibration energy of vibration absorber and main system with minimum vibration energy were obtained by means of gradual selection of the optimal parameters.