A method for examining steady state solutions of forced discrete systems with strong non-linearities

T. K. Caughey, A. F. Vakakis

Research output: Contribution to journalArticle

Abstract

An analytical method is presented for computing the exact steady state motions of forced, undamped, discrete systems with strong non-linearities. By expressing the forcing as a function of the steady state displacements, the forced problem is transformed to an equivalent free oscillation and subsequently a matching procedure is followed which results in the uncoupling of the differential equations of motion at the steady state. General conclusions are made concerning the topological portrait of the steady state response curves and applications of the method are given for systems with two degrees of freedom and cubic non-linearities.

Original languageEnglish (US)
Pages (from-to)89-103
Number of pages15
JournalInternational Journal of Non-Linear Mechanics
Volume26
Issue number1
DOIs
StatePublished - 1991
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A method for examining steady state solutions of forced discrete systems with strong non-linearities'. Together they form a unique fingerprint.

  • Cite this