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The Determination of an Upper Bound of the Lowest Natural Frequency of a Star Shaped Membrane

Published online by Cambridge University Press:  04 July 2016

Patricio A. Laura
Patricio A. Laura*
Affiliation:
Mechanical Engineering Department, The Catholic University of America
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Extract

Let Г be a closed curve in the z-plane with p-axis of symmetry. The mapping function

maps in general the interior of the unit circle |ξ| < 1 on to the interior of Г such that ξ=0 is transformed into z=0.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 68 , Issue 646 , October 1964 , pp. 703
Copyright
Copyright © Royal Aeronautical Society 1964

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References

1.Laura, P. A. On the Determination of the Natural Frequency of a Star Shaped Membrane. J.R.Ae.S., April 1964.CrossRefGoogle Scholar
2.Szezö, G. Conformal Mapping Related to Torsional Rigidity, Principal Frequency and Electrostatic Capacity. Proceedings of a Symposium—N.B.S., June 1949.Google Scholar