Noisy impact oscillators

Jun H. Park, N Sri Namachchivaya

Research output: Contribution to journalConference articlepeer-review

Abstract

The purpose of this work is to develop an averaging approach to study the dynamics of a vibro-impact system excited by random perturbations. As a prototype, we consider a noisy single-degree-of-freedom equation with both positive and negative stiffness and achieve a model reduction; i.e., the development of rigorous methods to replace in some asymptotic regime, a complicated system by a simpler one. To this end, we study the equations as a random perturbation of a two-dimensional weakly dissipative Hamiltonian system with either center type or saddle type fixed points. We achieve the model-reduction through stochastic averaging. Examination of the reduced Markov process on a graph yields mean exit times, probability density functions, and stochastic bifurcations.

Original languageEnglish (US)
Article numberIMECE2004-60861
Pages (from-to)189-200
Number of pages12
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume255
DOIs
StatePublished - Jan 1 2004
Event2004 ASME International Mechanical Engineering Congress and Exposition, IMECE - Anaheim, CA, United States
Duration: Nov 13 2004Nov 19 2004

ASJC Scopus subject areas

  • Mechanical Engineering

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