On Free Vibrations With Combined Viscous and Coulomb Damping

[+] Author and Article Information
P. H. Markho

Department of Mechanical, Marine and Production Engineering, Liverpool Polytechnic, U.K.

J. Dyn. Sys., Meas., Control 102(4), 283-286 (Dec 01, 1980) (4 pages) doi:10.1115/1.3149615 History: Received October 03, 1980; Online July 21, 2009


A closed-form solution of the governing, nonlinear equation for free vibrations of a single-degree-of-freedom system, without stops, under combined viscous and Coulomb damping is first obtained. This is much less involved than forced-response considerations of the same system (with or without stops) the solution of which problem was first obtained by Den Hartog [1]. This note contains the first derivation, as far as the author is aware of, of the equation for the amplitude decay curve (or envelope) for such a system vibrating freely under no-stop conditions. This equation is presented in a form which enables the components of the damping force to be determined from the system’s experimental plot (or record) of displacement versus time.

Copyright © 1980 by ASME
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