Predicting vibration-induced displacement for a resonant friction slider

A. Fidlin, Jon Juel Thomsen

Research output: Contribution to journalJournal articleResearchpeer-review


A mathematical model is set up to quantify vibration-induced motions of a slider, sandwiched between friction layers with different coefficients of friction, and equipped with an imbedded resonator that oscillates at high frequency and small amplitude. This model is highly nonlinear, involving non-smooth functions with strong harmonic excitation terms. The method of averaging is extended to hold for systems of this class, and used to derive approximate expressions for predicting average velocities of the slider. These expressions are shown to produce results that agree very well with numerical integration of the full equations of motion. The expressions are used to estimate and explain the influence of system parameters.
Original languageEnglish
JournalEuropean Journal of Mechanics A - Solids
VolumeVol. 20
Issue number1
Pages (from-to)pp. 155-166
Publication statusPublished - 2001


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