Communication Dans Un Congrès Année : 2025

Grazing Linear Mode, instability, ergodicity, for N-degree-of-freedom vibro-impact systems

Résumé

For conservative vibro-impact systems, the instability of Grazing Linear Mode is conjectured since at least Arne Nordmark using a First Return Map (FRM) and a square-root singularity (SQRS). Another singular FRM is compared to the first one. Our FRM has already provided closed forms for Non Smooth Modes with one impact per period (1IPP) and details a complex decomposition of the contact hyperplane with infinitely many SQRS reflecting the non smooth dynamics near a GLM. Ergodicity of this dynamics is questioned.

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Dates et versions

hal-05295359 , version 1 (03-10-2025)

Identifiants

  • HAL Id : hal-05295359 , version 1

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Stéphane Junca. Grazing Linear Mode, instability, ergodicity, for N-degree-of-freedom vibro-impact systems. 12 th Symposium of the European Network for Non Smooth Dynamics, FAU Erlangen-Nürnberg, Giuseppe Capobianco, Sep 2025, Erlangen, Germany. ⟨hal-05295359⟩
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