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On the Determination of the Natural Frequency of a Star-Shaped Membrane

Published online by Cambridge University Press:  04 July 2016

Patricio A. Laura
Patricio A. Laura*
Affiliation:
The Catholic University of America, Washington, D.C.
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Summary

The natural frequency of the fundamental mode of star-shaped membranes whose boundary is given by an equation in polar form is determined. The boundary conditions are satisfied identically by conformally transforming the complicated shape onto a unit circle. The transformed partial differential equation is solved by two different collocation techniques.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 68 , Issue 640 , April 1964 , pp. 274 - 275
Copyright
Copyright © Royal Aeronautical Society 1964

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References

1.Kantorovitch, L. V. and Krylov, V. I.Approximate Methods of Higher Analysis. Interscience Publishers, Inc., New York, 1958.Google Scholar
2.Temple, G.The Computation of Characteristic Numbers and Characteristic Functions. Proc. London Math. Soc. (2); 29; pp. 257–280, 1928.Google Scholar