Random Response Analysis of Vehicle on Uneven Road Expressed as Filtered Poisson Process

Abstract

A method is proposed to analyse directly the time history and power spectrum of random response of vehicle on uneven road. The uneven road is represented as one-dimensional filtered Poisson process, and the vehicle displacement is formulated with the aid of complex modal analysis and Duhamel integral. It is found in this procedure that the displacement can be expressed also as another filtered Poisson process .Then it turns out that the power spectrum of the displacement can be obtained directly from the second filtered Poisson process without making use of the power spectrum of the road contour as input. Numerical example is taken in regard to a passenger car modeled as a beam and two sets of mass, spring and damper for the front and rear wheels on very poor road.