Apparently first closed-form solutions of inhomogeneous circular plates in 200 years after Chladni

Author Type

Outside Researcher

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Journal of Sound and Vibration

Publication Status

Version of Record

Abstract

The closed-form solution for the circular plates in the non-axisymmetric setting was discussed. It was observed that for the circular plate of constant flexural rigidity, the mode shapes involve Bessel and trigonometric functions and simple polynomial. The result shows that the equation governing the forced vibration of a circular plate with loading and flexural rigidity varies with the polar radius. The reported solution could serve as benchmarks for verifying the accuracy of various numerical techniques.

First Page

1108

Last Page

1114

DOI

10.1016/j.jsv.2003.11.062

Publication Date

9-22-2004

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