and its successive differentiations without going through the numerical differentiation to avoid the numerical errors. It is shown that the method of superposition of harmonics is a flexible and powerful technique for generating the Gaussian random signal from spectral description as it can handle any practical shape of spectral density not only continuous but discrete split spectrum also. In addition, the use of higher sampling frequency has negligible effect on the contribution of high frequency spectral either in elevation or, especially in gradient of the generated profile as contrast to the method of white noise filtration.
This paper presents the analysis of position dependent damping (PDD) and a methodology for estimation of its parameters for passive suspension of vehicles. The time domain simulation of a quarter-car model with non-linear PDD is performed over the generated random road profile for different forward speeds of vehicle. The time domain response is transformed to frequency domain power spectral density (PSD) and root mean square (RMS) response is determined. Also, the time domain simulation with half sine bump is performed to obtain the bump response spectrum to evaluate the performance of vehicle suspension to transient road excitation. The performance of passive suspension with PDD is compared with that of linear damping in terms of ride comfort, suspension travel and road holding ability. It is shown that the concept of PDD has potential to improve the performance of vehicle suspension by minimising the well-known ride-handling conflict associated with passive suspensions.
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