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Journal of Vibration and Control, Vol. 9, No. 1-2, 25-78 (2003)

Nonlinear Dynamics and Modeling of Various Wooden Toys with Impact and Friction

Remco I Leine

Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

D H Van Campen

Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

Christoph Glocker

Institute of Mechanical Systems, Center of Mechanics, ETH Zentrum, CH-8092 Z rich, Switzerland

In this paper, we study bifurcations in systems with impact and friction, modeled with a rigid multibody approach. Knowledge from the field of nonlinear dynamics is therefore combined with theory from the field of non-smooth mechanics. We study the nonlinear dynamics of three commercial wooden toys. The toys show complex dynamical behavior but can be studied with one-dimensional maps, which allows for a thorough analysis of the bifurcations.

Key Words: Bifurcations • multibody dynamics • linear complementarity problem • contact


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