Structural optimization for controlling isolated response curves - Département de mathématiques appliquées
Communication Dans Un Congrès Année : 2024

Structural optimization for controlling isolated response curves

Résumé

We introduce a numerical analysis framework for controlling isolated response curves (isolas), i.e., curves that form closed loops and are not connected to the main branch of solutions. The methodology relies on bifurcation tracking analyses to monitor the evolution of node-collocation bifurcations in a codimension-2 space. Singularity theory is employed to differentiate points of isolas formation and merger from codimension-2 bifurcations. An optimization problem is defined to advance or delay the formation or merger of isolas.
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Dates et versions

hal-04701318 , version 1 (18-09-2024)

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Identifiants

  • HAL Id : hal-04701318 , version 1

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Adrien Mélot, Enora Denimal Goy, Ludovic Renson. Structural optimization for controlling isolated response curves. ENOC 2024 - 11th European Nonlinear Dynamics Conference, Jul 2024, Delft, Netherlands. pp.1-3. ⟨hal-04701318⟩
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