Nonlinear vibrations of a beam with non-ideal boundary conditions and stochastic excitations -- experiments, modeling and simulations

DOI10.1016/j.cnsns.2019.03.006zbMath1464.74068OpenAlexW2921754442WikidataQ128277210 ScholiaQ128277210MaRDI QIDQ2207439

Jean-Jacques Sinou, J.-P. Lambelin, T. Roncen

Publication date: 22 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.03.006

zbMATH Keywords

power spectral densityharmonic balance methodshooting methodprimary resonancesecondary peak

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

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Cites Work

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• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Experimental and numerical analysis of nonlinear phenomena in a stochastically excited beam system with impact
• Multi-harmonic measurements and numerical simulations of nonlinear vibrations of a beam with non-ideal boundary conditions
• An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems

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