Non-Sticking Oscillation Formulae for Coulomb Friction under Harmonic Loading
Resource
Journal of Sound and Vibration 244: 883-898
Journal
Journal of Sound and
Journal Volume
Vibration
Pages
883-898
Date Issued
2001
Date
2001
Author(s)
Liu, Chein-Shan
Abstract
In this paper, a new estimate for periodic non-sticking (i.e., zero stop per cycle) solutions is presented for the steady state responses of the Coulomb friction oscillator subjected to harmonic loading. Compared with the Den Hartog (1931 Transactions of the American Society of Mechanical Engineers 53, 107-115 [1]) estimate, the new estimate leads to the same formulae for the maximum displacement and its time lag, but only the new estimate offers the closed-form formulae for the maximum velocity and its time lag. More importantly, a simple formula is derived for estimating the minimum driving force amplitude needed to prevent an oscillating object from sticking to the friction surface on which it slides. The validity of the assumptions made for the new estimate and the accuracy of the formulae developed are confirmed by comparing with the exact solutions (Hong and Liu 2000 Journal of Sound and Vibration 229, 1171-1192 [2]). It is also found that there exists the best driving force amplitude for maximum dissipation efficiency.
Type
journal article
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