Stochastic dynamics of impact oscillators

N Sri Namachchivaya, Jun H. Park

Research output: Contribution to journalArticlepeer-review


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)
Pages (from-to)862-870
Number of pages9
JournalJournal of Applied Mechanics, Transactions ASME
Issue number6
StatePublished - Nov 2005

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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