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文章以随机激励的迟滞非线性系统为研究对象,研究阻尼参数对系统性能的影响.首先建立悬架迟滞非线性随机动力学模型;然后利用该模型计算系统的各阶矩,并利用Edgeworth展开式求解系统二维联合概率密度函数.由于迟滞非线性的存在使得矩方程不闭合,为此本文利用非高斯截断和累积量截断相结合的方法,将高阶矩写成低阶矩的函数,利用矩方程成功实现各阶矩的求解;最后以车身加速度和悬架动行程的线性加权作为目标函数,利用获得的概率密度函数求解目标函数,分析阻尼参数对目标函数的影响,并获得阻尼参数的最优值.
In this paper, the stochastic excitation hysteretic nonlinear system is taken as the research object to study the influence of damping parameters on the system performance.Firstly, the hysteresis nonlinear stochastic dynamic model of the suspension is established, and then the moments of the system are calculated by this model, Because of hysteresis non-linearity, the moment equation is not closed. Therefore, in this paper, a combination of non-Gaussian truncation and cumulant truncation is used to write higher-order moments as a function of lower- Finally, taking the vehicle body acceleration and linear dynamic of the suspension as the objective function, the objective function is solved by using the probability density function obtained, the influence of the damping parameter on the objective function is analyzed, and the damping parameter Excellent value.