A Tabular Collocation Method for Beam Vibration

[+] Author and Article Information
R. Chicurel

Virginia Polytechnic Institute, Blacksburg, Va.

E. Suppiger

Princeton University, Princeton, N. J.

J. Eng. Ind 83(4), 373-376 (Nov 01, 1961) (4 pages) doi:10.1115/1.3664534 History: Received April 14, 1960; Online November 09, 2011


This paper presents a procedure, based on the integral equation method, for the calculation of the natural frequencies of lateral vibration of beams with variable cross section. The approximate solution is obtained by collocation [1, 2]. A preliminary step in the analysis is the determination of static deflection curves; this is carried out in a convenient tabular form. An example of a stepped beam is given and the results are compared to those obtained by Myklestad’s method [3].

Copyright © 1961 by ASME
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