Exact stationary solutions of the random response of a single-degree-of-freedom vibro-impact system

H. S. Jing, K. C. Sheu

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

The problem of the response of a single-degree-of-freedom system with amplitude constraint on one side subjected to a random excitation is solved exactly. The Hertz law is used to model the contact phenomena between the mass and constraint during vibration. The excitation is limited to be a stationary white Gaussian process with zero mean. By solving the corresponding Fokker-Planck partial differential equation by separation of variables, the exact stationary solutions of the random response are obtained. The changes due to variations of contact stiffness are discussed.

Original languageEnglish
Pages (from-to)363-373
Number of pages11
JournalJournal of Sound and Vibration
Volume141
Issue number3
DOIs
Publication statusPublished - 1990 Sep 22

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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