STABILITY AND BIFURCATION IN MULTI-SCALED STOCHASTIC MECHANICS

This paper investigates simulation schemes of high order and correspondingly extended covariance equations. Both are derived by multiply iterated integrated and applied to road-vehicle systems. To avoid numerical instabilities for infinitely growing vehicle speed, inverse scales are introduced into the time domain. In case of cubic-progressive wheel suspensions, it can be shown that the stationary rms-values (root-mean-square) of the vehicle vibrations bifurcate into periodical ones even when the vehicle damping is strictly positive but weak. (C) 2013 The Authors. Published by Elsevier B. V. Selection and/or peer review under responsibility of Karlsruhe Institute of Technology (KIT) Institute of the Engineering Mechanics.