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Natural Frequencies of Constant Thickness Cantilever Triangular Plates oj Arbitrary Plan Form

Published online by Cambridge University Press:  28 July 2016

Bertram Klein
Bertram Klein*
Affiliation:
Los Angeles, California
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Extract

Simple Formulae are presented for the first three bending-type and the first torsion-type natural frequencies of any constant thickness cantilever triangular plate. The formulae are derived by a semi-empirical method. Comparison of calculated frequencies with test values indicates agreement within a few per cent. for a variety of plate plan forms.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 60 , Issue 544 , April 1956 , pp. 281 - 282
Copyright
Copyright © Royal Aeronautical Society 1956

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References

1. Gustafson, P. N., Stokey, W. F., and Zorowski, C. F. (1953). An Experimental Study of Natural Vibrations of Cantilevered Triangular Plates. Journal of the Aeronautical Sciences, Vol. 20, No. 5, pp. 331–337, May 1953.Google Scholar
2. Anderson, B. W. (1954). Vibration of Triangular Cantilever Plates by the Ritz Method. Journal of Applied Mechanics, Vol. 21, pp. 365–370, 1954.Google Scholar