Stochastic responses of viscoelastic system with real-power stiffness under randomly disordered periodic excitations

Di Liu, Wei Xu, Yong Xu, Jing Li

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The stochastic dynamic responses of viscoelastic systems with real-power exponents of stiffness term subjects to randomly disordered periodic excitations are studied. The assumed viscoelastic damping depends on the past history of motion via convolution integrals over an exponentially decaying kernel function. The multiple scales method is used to derive the stochastic different equations of modulation of amplitude and phase. The changes of the shape of resonance curves are obtained with real-power exponents of stiffness term and viscoelastic parameters, and then, the numerical simulation method was used to verify the accuracy of the theoretical analysis results. Theoretical analysis and numerical simulations show that as the intensity of the random excitation increases, the steady-state solution changes from a limit cycle to a diffused limited cycle. Under some conditions, the system may have two steady-state solutions and the phenomenon of jumps will happen to them under the random excitations.

Original languageEnglish
Pages (from-to)2487-2499
Number of pages13
JournalNonlinear Dynamics
Volume78
Issue number4
DOIs
StatePublished - 1 Dec 2014

Keywords

  • Multiple scales method
  • Randomly disordered periodic
  • Real-power stiffness
  • Stochastic responses
  • Viscoelastic system

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