Abstract
Many mechanical systems are subject to impacts modeled as unilateral constraints using the multibody system approach and the coefficient of restitution found from measurements. A multi-scale method is presented for the computation of the coefficient of restitution considering elastic wave propagation and plastic deformation which may occur simultaneously. Different models are presented for the impact period: a continuum model and a modal model with elastostatic Hertzian contact resulting in a boundary approach, a linear modal model with precomputed and concurrently computed finite elements in the contact region, and a completely nonlinear finite element model. In engineering, impacts are usually emerging from repeated processes with repeated collisions occurring on a previously deformed contact area. Therefore, the efficient modal models are extended for the evaluation of repeated impacts. The influence of the initial velocity prior to the impact as well as the shape and the yield stress of the bodies involved are investigated. For the experiments a special test bench is designed using Laser-Doppler- Vibrometers for velocity and displacement measurements on a fast time scale.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
C. Glocker, On frictionless impact models in rigid-body systems. Philosophical Transactions of the Royal Society of London, A359, 2385–2404, 2001.
W. Goldsmith, Impact: The Theory and Physical Behaviour of Colliding Solids, Edward Arnold Ltd, London, 1960.
B. Hu, W. Schiehlen, Multi-time scale simulation for impact systems: from wave propagation to rigid body motion. Archive of Applied Mechanics, 72, 885–897, 2003.
W. Schiehlen, R. Seifried, Three approaches for elastodynamic contact in multibody systems. Multibody System Dynamics, 12, 1–16, 2004.
W. Schiehlen, R, Seifried, P. Eberhard, Elastoplastic phenomena in multibody impact dynamics. Computer Methods in Applied Mechanics and Engineering, in press, [doi:10.1016/j.cma.2005.08.011].
R. Seifried, W. Schiehlen, P. Eberhard, Numerical and experimental evaluation of the coefficient of restitution for repeated impacts. International Journal of Impact Engineering, 32, 508–524, 2005.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
Schiehlen, W., Seifried, R. (2006). Elastic and Plastic Impacts in Multibody Dynamics. In: Motasoares, C.A., et al. III European Conference on Computational Mechanics. Springer, Dordrecht. https://doi.org/10.1007/1-4020-5370-3_4
Download citation
DOI: https://doi.org/10.1007/1-4020-5370-3_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4994-1
Online ISBN: 978-1-4020-5370-2
eBook Packages: EngineeringEngineering (R0)