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Experimental data from " A two-harmonic homotopy method to experimentally uncover isolated resonances"

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posted on 2025-02-04, 13:11 authored by Ghislain RazeGhislain Raze, Gaetan Kerschen
<h4><b>Original publication</b></h4><p dir="ltr">Raze, G. & Kerschen, G. A two-harmonic homotopy method to experimentally uncover isolated resonances</p><h4><b>Abstract</b></h4><h4>Secondary resonances of nonlinear systems can appear as isolated branches of solutions, challenging their characterization and making them particularly difficult to observe experimentally. This work exploits a two-harmonic homotopy method that leverages two-harmonic forcing as a proxy to connect primary and secondary resonances. An experimental implementation with simple feedback controllers is presented. This approach is then validated with an electronic Duffing oscillator and a doubly clamped beam featuring a distributed geometrical nonlinearity. It is shown to experimentally uncover isolas in both these examples.</h4><h4><b>Description of the dataset</b></h4><p dir="ltr">This dataset contains all experimental data necessary to plot the figures of the aforementioned journal article, displaying results of various tests on an <a href="https://github.com/GhislainRaze/Electronic-Duffing" rel="noreferrer" target="_blank">electronic Duffing oscillator</a>, and a doubly-clamped beam. Data was acquired with a MicroLabBox from dSPACE.</p><h4><b>Use</b></h4><p dir="ltr">The figures can be plotted with Matlab scripts. Please refer to the file readme.m for more information.</p>

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