The Rolling Contact of a Rigid Cylinder With a Viscoelastic Half Space

[+] Author and Article Information
S. C. Hunter

Brown University, Providence, R. I.; Division of Engineering Mechanics, Stanford University, Stanford, Calif.

J. Appl. Mech 28(4), 611-617 (Dec 01, 1961) (7 pages) doi:10.1115/1.3641792 History: Received August 30, 1960; Revised February 24, 1961; Online September 16, 2011


The problem of a rigid cylinder rolling on the surface of a viscoelastic solid is solved in an approximation in which inertial forces are neglected. With the introduction of viscoelastic effects, the symmetry associated with the corresponding elastic problem is destroyed, and in particular the cylinder motion is impeded by a resistive force. For a standard linear solid, the resulting coefficient of friction, a function of the rolling velocity V, tends to zero for small and large values of V, and attains a single maximum at an intermediate value.

Copyright © 1961 by ASME
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