Systems constituted by moving components that make intermittent contacts with each other can be modelled by a system of ordinary differential equations containing piecewise linear terms. We consider a soft impact bilinear oscillator for which we obtain bifurcation diagrams, Lyapunov coefficients, re
Numerical simulation of the dynamics of an impacting bar
β Scribed by Laetitia Paoli; Michelle Schatzman
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 410 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0045-7825
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β¦ Synopsis
We calculate numerically the motion of a slender bar dropped on a rigid foundation. For the computation the bar is discretized by a system of rigid bodies linked by spiral springs or by a pair of linear springs. We assume that the impact is frictionless and we model it by Newton's law. We compute the motion by using either an event-driven method based on the detection of impacts or a time-stepping scheme avoiding the detection of impacts. We calculate also the apparent restitution coefficient and we compare our results with the experimental and numerical results of Stoianovici and Hurmuzlu.
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