Abstract
This chapter presents general features of the dynamics of chains of aligned balls. The dissipation and the dispersion of the kinetic energy at an impact are studied, independently of any impact law. A dispersion index and a dissipation index are defined, which will be used all through the next chapters. Optimization under constraints is used to analyze the variations of these two indices, where the constraints are imposed by the physics (momentum conservation, energetic consistency, kinematic consistency). A 3-ball chain is analyzed in detail.
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© 2014 Springer-Verlag Berlin Heidelberg
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Nguyen, N.S., Brogliato, B. (2014). Multiple Impacts in Granular Chains. In: Multiple Impacts in Dissipative Granular Chains. Lecture Notes in Applied and Computational Mechanics, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39298-6_2
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DOI: https://doi.org/10.1007/978-3-642-39298-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-39297-9
Online ISBN: 978-3-642-39298-6
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