Exact solutions of the problem of the vibro-impact oscillations of a discrete system with two degrees of freedom

M. A.F. Aziz, A. F. Vakakis, L. I. Manevich

Research output: Contribution to journalArticlepeer-review

Abstract

Non-smooth time transformations are used to investigate strongly non-linear periodic free oscillations of a vibro-impact system with two degrees of freedom. Allowance for the boundary conditions at collision times enables the singularities induced by these transformations to be eliminated. The smoothed equations of motion turn out to be linear. Investigation of the periodic solutions reveals vibro-impact states with one- an two-sided collisions, including localized states (only one of the masses experiences collisions with stopping devices), and their bifurcation structure.

Original languageEnglish (US)
Pages (from-to)527-530
Number of pages4
JournalJournal of Applied Mathematics and Mechanics
Volume63
Issue number4
DOIs
StatePublished - Aug 31 1999
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Exact solutions of the problem of the vibro-impact oscillations of a discrete system with two degrees of freedom'. Together they form a unique fingerprint.

Cite this