Ground induced non-stationary response of vehicles

A vehicle moving with variable velocity is subjected to non-stationary base excitation. The equations of motion governing the vibration of the vehicle are transformed to the space co-ordinates and the solution is expressed in terms of a Stieltjes integral containing a space dependent frequency response function and an orthogonal function related to the power spectral density of the ground unevenness. Response statistics are computed by using the evolutionary spectra approach. Results obtained by using the Monte Carlo method for the non-linear model, and the time domain and evolutionary spectra approaches for the equivalent linear models are compared.