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Titlebook: IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty; Proceedings of the I H. Y. Hu,Edwin Kreuzer Conference proce

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Overturning Probability of Railway Vehicles under Wind Gust Loads demands for light-weight constructions (especially cabin cars) and higher driving velocities. In many countries, the approval process foresees stability predictions based on worst case scenarios, where uncertainties are taken into account by means of safety factors and comparison with reference veh
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Impact Systems with Uncertaintyn be computed on a fast time scale. Thereby modal models with local contact models proof to be efficient and accurate models for the simulations on the fast time scale. For many impact systems the coefficient of restitution is assumed to be deterministic, depending on essential parameters such as ma
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Numerical Analysis of Bifurcation and Chaos Response in a Cracked Rotor System under White Noise Dissturbance. Special attention is paid to the influence of the stiffness change ratio and the rotating speed ratio on the bifurcation and chaos response of the system. Numerical simulations show that the effect of the random disturbance is significant as the undisturbed response of the cracked rotor s
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The Maximal Lyapunov Exponent for a Stochastic Systemiven parametrically by a real noise, is investigated. A model of enhanced generality is developed by assuming the real noise as an integrable function of an output of a linear filter system. The strong mixing condition, which is the essential theoretic basis for the stochastic averaging method, is r
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Stability and Density Analysis of Stochastic Duffing Oscillatorsstigate the stability of their stationary solutions by means of Lyapunov exponents. This analysis confirms that the top Lyapunov exponents remain negative for positively decreasing damping and mono-potential restoring. Known from purely numerical results, the top Lyapunov exponent becomes positive f
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