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Conference Papers Year : 2023

Parametric optimization of fold bifurcation points

Abstract

The aim of this work is to optimize the parameters of a mechanical system in order to force fold bifurcation points to appear at targeted frequencies. To this end, an original harmonic balance-based optimization procedure is developed. Functions similar to those employed during bifurcation tracking analyses are used to characterize fold bifurcations in the objective function. The proposed approach is illustrated on a Duffing oscillator with cubic nonlinearity.
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hal-04166242 , version 1 (19-07-2023)

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  • HAL Id : hal-04166242 , version 1

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Adrien Mélot, Enora Denimal, Ludovic Renson. Parametric optimization of fold bifurcation points. Nodycon 2023 - Third International Nonlinear Dynamics Conference, Jun 2023, Rome, Italy. pp.1. ⟨hal-04166242⟩
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