Abstract
The paper investigates dynamics of road-vehicle systems. The ride on rough roads generates vertical car vibrations whose root-mean-squares become resonant for critical speeds. These investigations are extended to nonlinear wheel suspensions with cubic-progressive spring characteristics and piecewise quadratic damping mechanism. For weak but still positive damping, the vibrations become unstable in the overcritical range of car speeds. This nonlinear behavior of road-vehicle systems is detected by perturbation equations and associated Lyapunov exponents. For critical car speeds, the top Lyapunow exponents become positive indicating that the stationary car vibrations bifurcate into non-stationary chaos.
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Wedig, W.V. (2011). Resonances of Road-Vehicle Systems with Nonlinear Wheel Suspensions. In: Stépán, G., Kovács, L.L., Tóth, A. (eds) IUTAM Symposium on Dynamics Modeling and Interaction Control in Virtual and Real Environments. IUTAM Bookseries, vol 30. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1643-8_10
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DOI: https://doi.org/10.1007/978-94-007-1643-8_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-1642-1
Online ISBN: 978-94-007-1643-8
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