Frequency domain analysis of a dimensionless cubic nonlinear damping system subject to harmonic input

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Original languageEnglish
Pages (from-to)469-485
Journal / PublicationNonlinear Dynamics
Issue number3
Online published1 Apr 2009
Publication statusPublished - Nov 2009
Externally publishedYes


The effects of cubic nonlinear damping on the system output spectrum are theoretically studied through a dimensionless mass-spring damping system model subject to a harmonic input, based on the Volterra series approximation. It is theoretically shown that the cubic nonlinear damping has little effect on the system output spectrum at high or low frequencies but drives the system output spectrum to be an alternative series at the natural frequency 1 such that the system output spectrum can be suppressed by the cubic damping. © 2009 Springer Science+Business Media B.V.

Research Area(s)

  • Cubic nonlinear damping, Output frequency response, Alternative series, RESPONSE FUNCTION, VIBRATION