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A Note on the Free Vibrations of Cantilever Plates with Swept-Back Leading Edge*

Published online by Cambridge University Press:  04 July 2016

A. Kornecki  and
G. Maimon
A. Kornecki
Affiliation:
Technion Israel Institute of Technology, on leave to Courant Institute of Mathematical Sciences, New York University
G. Maimon
Affiliation:
Technion Israel Institute of Technology, on leave to Courant Institute of Mathematical Sciences, New York University
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Extract

Free vibrations of triangular and trapezoidal plates have been analysed recently theoretically and experimentally by many authors. Some of them applied the Rayleigh-Ritz procedure, while others proposed to use the Kantorovich-Vlasov method, reducing the problem to solution of an ordinary differential equation.

In this note, the method developed in ref. 7 on the basis of Reissner’s modified variational theory is extended to include trapezoidal cantilever plates (Fig. 1).

Comparison of theory and experiment shows that, retaining four terms in the deflection function, one obtains three natural frequencies to a high degree of accuracy.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 70 , Issue 665 , May 1966 , pp. 604 - 605
Copyright
Copyright © Royal Aeronautical Society 1966

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Footnotes

*

This note forms a part of G. Maimon’s M.Sc. Thesis at the Aeronautical Engineering Department of the Technion, Israel Institute of Technology.

References

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