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Travelling waves in a spring-block chain sliding down a slope

José Eduardo Morales Morales 1 Guillaume James 1, 2 Arnaud Tonnelier 1 
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann
Abstract : Travelling waves in a spring-block chain sliding down an inclined plane are studied. For a piecewise-linear spinodal friction force, we construct analytically front waves. Pulse waves are obtained as the matching of two travelling fronts with identical speeds. Explicit formulas are obtained for the wavespeed and the wave form in the anti-continuum limit. The link with propagating phenomena in the Burridge-Knopoff model is briefly discussed.
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Submitted on : Wednesday, December 7, 2016 - 3:19:26 PM
Last modification on : Tuesday, April 26, 2022 - 8:48:01 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 1:08:03 AM


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  • HAL Id : hal-01411516, version 1


José Eduardo Morales Morales, Guillaume James, Arnaud Tonnelier. Travelling waves in a spring-block chain sliding down a slope. [Research Report] RR-8995, INRIA Grenoble - Rhône-Alpes. 2016. ⟨hal-01411516⟩



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