Dynamic Stability of a Beam Carrying Moving Masses

[+] Author and Article Information
H. D. Nelson, R. A. Conover

Department of Engineering Mechanics, Arizona State University, Tempe, Ariz.

J. Appl. Mech 38(4), 1003-1006 (Dec 01, 1971) (4 pages) doi:10.1115/1.3408901 History: Received June 16, 1970; Online July 12, 2010


The dynamic stability of the lateral response of a simply supported Bernoulli-Euler beam carrying a continuous series of equally spaced mass particles is analyzed. The beam rests on a uniform elastic foundation and damping is considered by including a distributed viscous damping coefficient. The particles are restricted to constant speed. The Galerkin method is used to generate a set of approximate governing equations of motion possessing periodic coefficients. Floquet theory is utilized to study the parametric regions of stability which are displayed in graphical form.

Copyright © 1971 by ASME
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