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中文摘要：
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.
英文摘要：
The paper takes hysteretic nonlinear vibration model with random excitation as the research object. It is used to study the influence of damping parameters on the system performance. First, the dynamic model of hysteretic nonlinear system is established. Then, the model is used to calculate the moments of the system, The two dimensional joint probability density of the system is calculated by the Edgeworth expansion equation. Due to the existence of the hysteresis nonlinearity, the moment equation is not closed. Therefore, we solve the moment equations to get the moments by writing higher order moments as a function of lower order moments based on the combination of non-Gauss truncation and cumulative truncation. Finally, the linear weighting of the acceleration and suspension displacement of the vehicle is taken as the objective function, which is solved by the joint probability density. The influence of damping parameters on the object function is analyzed to find the optimal design of damping parameter.
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