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Flutter of Skew Panels by the Matrix Displacement Approach

Published online by Cambridge University Press:  04 July 2016

V. Kariappa  and
B. R. Somashekar
V. Kariappa
Affiliation:
National Aeronautical Laboratory, Bangalore, India
B. R. Somashekar
Affiliation:
National Aeronautical Laboratory, Bangalore, India
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Extract

In spite of the large number of published works on panel flutter there appears to be a wide gap in the literature concerning the flutter of skew panels. For instance, recently the flutter behaviour of skew panels in supersonic flow has been presented for a simply-supported boundary condition using double Fourier sine series to represent the deflection surface. Apart from this publication there is practically no literature concerning flutter of skew panels except refs. 3-4 which consider the flutter of skew panels clamped on all the edges. The method used in ref. 3 is the common 4-mode analysis by using the Iguchi functions for representing the deflections and in ref. 4 the same problem is solved by the use of beam characteristic functions. One inherent difficulty in these conventional methods, was that no single function could be chosen to represent the deformation which satisfied various boundary conditions, with the result that the entire analysis may have to be repeated with different assumed functions for accommodating different boundary conditions. Hence, a general method was proposed in ref. 5 for the study of panel flutter problems of arbitrary geometry by the Matrix Displacement Method, which permits application to problems with practically any geometrical boundary conditions on any or all the sides.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 74 , Issue 716 , August 1970 , pp. 672 - 675
Copyright
Copyright © Royal Aeronautical Society 1970 

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References

1. Johns, D. J. The Present Status of Panel Flutter. AGARD Rept 484, 1964.Google Scholar
2. Durvasula, S. Flutter of Simply Supported, Parallelogrammic, Flat Panels in Supersonic Flow. AIAA Journal, Vol 5, pp 1668–1673, 1967.Google Scholar
3. Kornecki, A. A Note on the Supersonic Panel Flutter of Oblique Clamped Plates. Journal of Royal Aeronautical Society, Vol. 68, No 640, pp 270–271, April 1964.Google Scholar
4. Durvasula, S. Flutter of Isotropic Clamped Parallelo- grammic Flat Plates in Supersonic Flow. Paper presented at the Eighth British Theoretical Mechanics Colloquium, Southampton, April 18-21 1966.Google Scholar
5. Kariappa, and Somashekar, B. R. Application of Matrix Displacement Methods in the Study of Panel Flutter. AIAA Journal, Vol 7, pp 50–53, January 1969.Google Scholar
6. Argyris, J. H. Matrix Displacement Analysis of Plates and Shells. Ingenieur-Archive, XXXV Bond, 1966.Google Scholar
7. Hearmon, R. F. S. The Frequency of Vibration of Rectangular Isotropic Plates. Journal of Applied Mechanics, Vol 19, pp 402–403, 1952.Google Scholar
8. Durvasula, S. and Srinivasan, S. Vibration and Buckling of Orthotropic Rectangular Plates. Journal of the Aeronautical Society of India, Vol 19, pp 65–80, 1967.Google Scholar
9. Argyris, J. H. Continua and Discontinua. Proceedings of the Conference on Matrix Methods in Structural Analysis, Wright Patterson Air Force Base, Ohio, 1965.Google Scholar