Parameter sensitivity expressions for the mean square root of the response of a system with multi-source random excitation were derived with the decoupling theory in state space, Kronecker algebra, matrix differential theory and the pseudo-excitation method. According to the parameter sensitivity caculation results and the requirement of actual engineering, the ride comfort of a light-duty truck model was optimized with MATLAB. Meanwhile, the optimization included linear and nonlinear constraint conditions.%采用虚拟激励法,多次利用状态空间解耦、Kronecker代数及矩阵微分理论等,推导出多源随机激励下响应均方根的参数灵敏度表达式,并将其应用于汽车平顺性分析.根据理论计算的灵敏度大小及工程实际要求,选取优化变量,对轻型货车整车模型进行了平顺性优化.
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