Visco-elastic systems under both deterministic harmonic and random excitation

Wei Xu, Hai Wu Rong, Tong Fang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The response of visco-elastic system to combined deterministic harmonic and random excitation was investigated. The method of harmonic balance and the method of stochastic averaging were used to determine the response of the system. The theoretical analysis was verified by numerical results. Theoretical analyses and numerical simulations show that when the intensity of the random excitation increase, the nontrivial steady state solution may change from a limit cycle to a diffused limit cycle. Under some conditions the system may have two steady solutions and jumps may exist.

Original languageEnglish
Pages (from-to)61-67
Number of pages7
JournalApplied Mathematics and Mechanics (English Edition)
Volume24
Issue number1
DOIs
StatePublished - Jan 2003

Keywords

  • Method of harmonic balance
  • Method of stochastic averaging
  • Visco-elastic system

Fingerprint

Dive into the research topics of 'Visco-elastic systems under both deterministic harmonic and random excitation'. Together they form a unique fingerprint.

Cite this