The paper introduces stochastic simulation schemes of arbitrarily high order and covariance equations extended, correspondingly. Both methods are derived by means of multiply iterated integrals and applied to linear road-vehicle systems. Running on roads, vehicles generate vertical vibrations dependent on the vehicle speed. The vibrations become resonant when the ratio of the speed times the road corner frequency approaches the natural frequencies of the vehicle. To avoid numerical instabilities in case of high speeds or stiff frequency situations, multi-time-scale dynamics are introduced by scaling the time and noise increments according to the main frequencies of the system. In the stationary case, the co-variances are independent on time so that bigger time steps can be applied to stochastic Euler schemes to estimate the stationary rms-values of scaled dynamic systems provided the applied simulation schemes are stable in mean square. Best mean-square measurements are utilized to refine the spectral analysis of road profiles and to avoid systematic errors in periodogram evaluations.
Multi-time-scale dynamics of stochastic road-vehicle systems
2013
10 Seiten, 8 Bilder, 1 Tabelle, 13 Quellen
Conference paper
Storage medium
English
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