1. Multiple Impacts in Granular Chains
- Author
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Ngoc-Son Nguyen, Bernard Brogliato, Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems (BIPOP), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK), and Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Index (economics) ,Chain (algebraic topology) ,[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] ,Consistency (statistics) ,Dispersion (optics) ,Statistical physics ,Kinematics ,Index of dispersion ,Dissipation ,Kinetic energy ,Mathematics - Abstract
International audience; 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.
- Published
- 2014
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