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When vehicle travels on stochastic road.the suspension damper is actually working under random excitation.In order to accurately reflect the actual working characteristics of hydraulic shock absorber, it is necessary to fit damping force characteristics of shock absorber combing experiment data under random loading[1].Reasonable and real description of absorber damping characteristics is very important for damper design and overall performance of vehicle systems.However.there are very little literatures in this aspect[2,3].