Forced Vibration of a Base-Excited Single-Degree-of-Freedom System With Coulomb Friction

[+] Author and Article Information
Etsuo Marui

Department of Precision Engineering, Gifu University, 1 - 1, Yanagido, Gifu-shi 501 - 11, Japan

Shinobu Kato

Department of Electronic-Mechanical Engineering, Nagoya University, Furo-cho, Chikusa-ku Nagoya 464, Japan

J. Dyn. Sys., Meas., Control 106(4), 280-285 (Dec 01, 1984) (6 pages) doi:10.1115/1.3140686 History: Received March 22, 1982; Online July 21, 2009


Using the “stopping region of motion” concept, a brief analytical technique is worked out for the behavior of the linear forced vibratory system under the influence of a Coulomb friction force. The following points are clarified by the above technique: 1. The behavior of the system is completely determined by the three non-dimensional parameters of nondimensional friction force, frequency ratio and damping ratio. 2. The vibratory system undergoes a periodic vibration with stopping periods when the mass cannot move. These stopping periods increase at lower exciting frequencies, owing to Coulomb friction. 3. The relation between the kind of motion occurring in the system and the above three parameters can be obtained theoretically and verified experimentally.

Copyright © 1984 by ASME
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