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Chapitre D'ouvrage Année : 2018

Nonsmooth modal analysis: from the discrete to the continuous settings

Résumé

This chapter addresses the prediction of vibratory resonances in nonsmooth structural systems via Nonsmooth Modal Analysis. Nonsmoothness in the trajectories is induced by unilateral contact conditions in the governing (in)equations. Semi-analytical and numerical state-of-the-art solution methods are detailed. The significance of nonsmooth modal analysis is illustrated in simplified one-dimensional space semi-discrete and continuous frameworks whose theoretical and numerical discrepancies are explained. This contribution establishes clear evidence of correlation between periodically forced and autonomous unilaterally constrained oscillators. It is also shown that strategies using semi-discretization in space are not suitable for nonsmooth modal analysis. The spectrum of vibration exhibits an intricate network of backbone curves with no parallel in nonlinear smooth systems.
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hal-01771849 , version 1 (19-04-2018)

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Paternité - Pas d'utilisation commerciale

Identifiants

Citer

Anders Thorin, Mathias Legrand. Nonsmooth modal analysis: from the discrete to the continuous settings. Remco Leine; Vincent Acary; Olivier Brüls. Advanced Topics in Nonsmooth Dynamics. Transactions of the European Network for Nonsmooth Dynamics, Springer International Publishing, 2018, 9783319759715. ⟨10.1007/978-3-319-75972-2_5⟩. ⟨hal-01771849⟩
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