Identifying Coulomb and Viscous Friction in Forced Dual-Damped Oscillators

Author:

Liang Jin-Wei1,Feeny Brian F.2

Affiliation:

1. Department of Mechanical Engineering, MingChi Institute of Technology, Taipei, Taiwan, 24306, R.O.C.

2. Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824-1226

Abstract

This paper presents a method for estimating Coulomb and viscous friction coefficients from responses of a harmonically excited dual-damped oscillator with linear stiffness. The identification method is based on existing analytical solutions of non-sticking responses excited near resonance. The method is applicable if the damping ratio of viscous component can be considered small. The Coulomb and viscous friction parameters can be extracted from two or more input-output amplitude pairs at resonance. The method is tested numerically and experimentally. Experimental results are cross checked with estimations from free-vibration decrements and also from friction measurements.

Publisher

ASME International

Subject

General Engineering

Reference49 articles.

1. Den Hartog, J. P. , 1931, “Forced Vibration with Combined Coulomb and Viscous Damping,” Trans. ASME, 53, pp. 107–115.

2. Hundal, M. S. , 1979, “Response of a Base Excited System with Coulomb and Viscous Friction,” J. Sound Vib., 64, pp. 371–378.

3. Jacobsen, L. S., and Ayre, R. S., 1958, Engineering Vibrations, McGraw-Hill, New York.

4. Helmholtz, H. L. F., 1877, On the Sensations of Tone as Physiological Basis for the Theory of Music, translation by A. J. Ellis of Die Lehre von den Tonempfindungen, fourth edition

5. first edition published in 1863, Dover, New York, pp. 406.

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