Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping

Daniil Yurchenko, Andrea Burlon, Mario Di Paola, Giuseppe Failla, Antonina Pirrotta

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The paper deals with the stochastic dynamics of a vibroimpact single degree-of-freedom system under a Gaussian white noise. The system is assumed to have a hard type impact against a one-sided motionless barrier, located at the system's equilibrium. The system is endowed with a fractional derivative element. An analytical expression for the system's mean squared response amplitude is presented and compared with results of numerical simulations.
Original languageEnglish
Article number030903
JournalJournal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
Volume3
Issue number3
Early online date12 Jun 2017
DOIs
Publication statusPublished - Sep 2017

Keywords

  • Dynamics
  • Stochastic systems
  • white noise
  • risk
  • fractional damping
  • Computer simulation

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