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 .
A Tabular Collocation Method for Beam Vibration
Virginia Polytechnic Institute, Blacksburg, Va.
Princeton University, Princeton, N. J.
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Chicurel, R., and Suppiger, E. (November 1, 1961). "A Tabular Collocation Method for Beam Vibration." ASME. J. Eng. Ind. November 1961; 83(4): 373–376. https://doi.org/10.1115/1.3664534
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