作者:Hu HX, Chen LC
摘要:As a typical nonlinear passive control device with nonlinear stillness, nonlinear energy sinks (NES) have attracted the attention from various engineering fields for their light weight and strong frequency rohustness. At present, the studies dealing with the dynamics of structural systems containing NES were almost limited to deterministic load cases in literature. There were only very few investigations available for the random excitation. In this paper, the parameter optimization of random vibration of single-degree-of-freedom (SDOF) structure coupled with NES excited by Gaussian white noise was investigated, First, the original system was equivalent to stochastic dynamic systems with exact stationary solutions by using the method of weighted residual. The theoretical solution and Monte Carlo solution (MSC) agree within the allowable error range, which shows the effectiveness of| the proposed numerical method. Subsequently, the approximate analytic expression of probability density function(PDF) of the stationary response of the original system was utilized to construct the objective function. A parameter optimization strategy of NES with the target of minimizing the mean-square(MS) of displacement and velocity response of main structure was proposed. The effects of parameters such as damping, nonlinear stiffness and mass ratio of nonlinear energy sink on damping performance were discussed. The results show that the increase of mass ratio and damping of NES can achieve strong damping performance. The influence law of nonlinear stiffness on the damping performance of NES is related to the value of mass ratio. It can provide a feasible reference for the design and application of NES.
期刊:振动与冲击
发表年份:2022
卷:41
期:24
期刊分类:EI