Periodic Response and Stability of Rigid Mass Resting on Friction-Damped SDOF Oscillator
Publication: Journal of Engineering Mechanics
Volume 121, Issue 11
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.
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Published In
Journal of Engineering Mechanics
Volume 121 • Issue 11 • November 1995
Pages: 1226 - 1233
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Nov 1, 1995
Published in print: Nov 1995
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