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Response spectral density for oscillators with nonlinear damping / F. Rudinger in Journal of engineering mechanics, Vol. 133 N°3 (Mars 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°3 (Mars 2007) . - pp.278–289. Titre : Response spectral density for oscillators with nonlinear damping Type de document : texte imprimé Auteurs : F. Rudinger, Auteur Année de publication : 2007 Article en page(s) : pp.278–289. Note générale : Applied mechanics Langues : Anglais (eng) Mots-clés : Damping  White  noise  Power  spectral  density  Oscillations Résumé : The concept of equivalent nonlinearization is used to obtain approximate solutions for the frequency response function and power spectral density (PSD) function of the response for oscillators with nonlinear damping. When harmonic excitation is considered the energy of the response is assumed to oscillate around a mean energy level. Assuming that the response is harmonic with energy-dependent amplitude an approximate frequency response function is obtained. The PSD function of the response to white noise excitation at a given energy level is obtained by an expression similar to the expression for a linear system, where the damping is replaced by an energy-dependent damping function. The total PSD function is obtained as a weighted average of the damping at all energy levels, and the method can be considered an extension of the method of equivalent nonlinearization to the frequency domain. The accuracy of the methods is verified by numerical examples. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A3%2827 [...] [article] Response spectral density for oscillators with nonlinear damping [texte imprimé] / F. Rudinger, Auteur . - 2007 . - pp.278–289. Applied mechanics Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°3 (Mars 2007) . - pp.278–289. Mots-clés : Damping  White  noise  Power  spectral  density  Oscillations Résumé : The concept of equivalent nonlinearization is used to obtain approximate solutions for the frequency response function and power spectral density (PSD) function of the response for oscillators with nonlinear damping. When harmonic excitation is considered the energy of the response is assumed to oscillate around a mean energy level. Assuming that the response is harmonic with energy-dependent amplitude an approximate frequency response function is obtained. The PSD function of the response to white noise excitation at a given energy level is obtained by an expression similar to the expression for a linear system, where the damping is replaced by an energy-dependent damping function. The total PSD function is obtained as a weighted average of the damping at all energy levels, and the method can be considered an extension of the method of equivalent nonlinearization to the frequency domain. The accuracy of the methods is verified by numerical examples. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A3%2827 [...]