Periodic response and stability of rigid mass resting on friction-damped SDOF oscillator

Debra S. Larson, Apostolos Fafitis

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

This paper presents closed-form periodic solutions, accompanying stability analyses, and an analytically generated response spectra for a passive isolation system subjected to a harmonic base motion. This isolation system, a rigid mass resting on a single degree of freedom (SDOF) oscillator, is a piecewise linear problem that has been historically studied using numerical techniques. By carefully expressing initial periodicity conditions as a function of an excitation phase angle, both the initiation times for stick and slip behaviors and the symmetric steady-state slip-slip and slip-stick responses are analytically obtained. The stability analysis, based on error-propagation techniques, shows that the steady-state solutions are stable and are realized after the transient motion decays in a beating-type manner.

Original languageEnglish (US)
Pages (from-to)1226-1233
Number of pages8
JournalJournal of Engineering Mechanics
Volume121
Issue number11
DOIs
Publication statusPublished - 1995
Externally publishedYes

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ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

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