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

Xingjian Jing, Zi Qiang Lang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

58 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)469-485
Number of pages17
JournalNonlinear Dynamics
Issue number3
Publication statusPublished - 1 Nov 2009
Externally publishedYes


  • Alternative series
  • Cubic nonlinear damping
  • Output frequency response

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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