THE NORMAL MODES OF A CIRCULAR PLATE OF VARIABLE THICKNESS

1 January 1968

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 21 (3) , 321-327
https://doi.org/10.1093/qjmam/21.3.321

Abstract

An exact analysis is given of the free modal vibrations of a circular plate having a lenticular thickness variation. Explicit closed-form expressions are found for the frequencies and mode shapes. It is found that the frequencies are dependent on Poisson's ratio, whereas the mode shapes are not.

Keywords

MODE SHAPES
EXACT ANALYSIS
CIRCULAR PLATE
MODAL VIBRATIONS
FREE MODAL
LENTICULAR THICKNESS
EXPLICIT CLOSED
THICKNESS VARIATION

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