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RESEARCH PAPERS

The Dynamically Loaded Circular Beam on an Elastic Foundation

[+] Author and Article Information
D. E. Panayotounakos

The National Technical University of Athens, 5, K. Zographou Street, Zographou, Athens 625, Greece

P. S. Theocaris

Laboratory for Testing Materials, The National Technical University of Athens, 5, K. Zographou Street, Zographou, Athens 625, Greece

J. Appl. Mech 47(1), 139-144 (Mar 01, 1980) (6 pages) doi:10.1115/1.3153592 History: Received November 01, 1978; Revised March 01, 1979; Online July 21, 2009

Abstract

In this investigation an analytical treatment for the determination of the natural frequencies of a circular uniform beam on an elastic foundation, subjected to harmonic loads, is presented. This problem in the most general case of response is reduced to a system of six-coupled linear partial differential equations. The effects of rotatory inertia and transverse shear deformation are also included in the analysis. The problem is treated by considering the beam as a continuous system, as well as a discrete system. The aforementioned solution methodology is successfully demonstrated through several numerical examples.

Copyright © 1980 by ASME
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