On the Response of a Two-Degree-of-Freedom Rigid Disk With a Moving Massive Load

[+] Author and Article Information
K. J. Stahl

International Business Machines Corporation, San Jose, Calif

W. D. Iwan

Department of Applied Mechanics, California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 40(1), 114-120 (Mar 01, 1973) (7 pages) doi:10.1115/1.3422908 History: Received October 01, 1971; Revised February 01, 1972; Online July 12, 2010


An analysis of the dynamic response of an elastically supported two-degree-of-freedom rigid circular disk excited by a moving massive load is presented. The equations of motion of the system are solved by transforming a set of coupled Hill-Mathieu equations into an ordinary eigenvalue problem. Two types of system instability are observed. A stiffness instability region exists above the critical speed of the disk and a terminal instability region exists for all load speeds exceeding a certain limiting value. The introduction of viscous damping may destabilize the system.

Copyright © 1973 by ASME
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