Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-10-31T23:24:33.004Z Has data issue: false hasContentIssue false

Optimisation techniques for a unidimensional structure in idealised critical flutter conditions

Published online by Cambridge University Press:  04 July 2016

S. Tizzi*
Affiliation:
Università di Roma “La Sapienza“ Italy

Abstract

The paper is focuses on the study of the profile optimisation of a unidimensional structure in idealised critical flutter conditions. The problem has been addressed already by other authors, but here an original technique is used to search for some variables at the left hand end of a simply supported vibrating beam, the knowledge of which is necessary for the numerical integration of the governing equations. Additionally, the frequency is considered as a control parameter. A composite orthotropic symmetric panel with four layers is considered and the optimised profiles of all the structural components determined.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1996 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Bispunghoff, R.L. and Ashley, H. Principles of Aeroelasticity, Dover Publications, New York, 1962, pp 418437.Google Scholar
2. Santini, P., Balis-Crema, L. and Peroni, I. Structural optimisation in aeroelastic conditions, l' Aerotecnica Missili e Spasio, 1976, 55, (1-2), pp 8393.Google Scholar
3. Ashley, H. and McIntosh, S.C. Applications of aeroelastic con- straints in structural optimisation, In:Proceedings of the 12th Interna tional Congress of Applied Mechanics, Springer, Berlin, 1969.Google Scholar
4. Weisshaar, T.A. Aeroelastic optimisation of a panel in high Mach number supersonic flow, J Aircr, 1972, 9, (9), pp 611617.Google Scholar
5. Pierson, B.L. Discrete variable approximation in minimum weight panels and with fixed flutter speed, AIAA J, 1972, 10, (9), pp 1147 1148.Google Scholar
6. Zienkiewicz, J.V. The Finite Element Method, McGraw Hill Book Company, 4th Edition, London, 1994, pp 41-43 and pp 345347.Google Scholar
7. Reddy, J.N., Krishnamoorthy, C.S. and Seetharamu, K.N. Finite Element Analysis for Engineering Design, Springer-Verlag, Berlin-Heidelberg, 1988, pp 43-54 and pp 310318.Google Scholar
8. Leitmann, G. Optimisation Techniques with Applications to Aerospace Systems, Academic Press, New York and London, 1962, pp 37-39 and pp 100105.Google Scholar
9. Santini, P. Matematica Applicata all'Ingegneria, Etas Kompass, Milano, 1967, pp 274322.Google Scholar
10. Conte, S.D. The numerical solution of linear boundary value problems, SIAM Review, 1966, 8, (3), pp 309-21.Google Scholar
11. Gasparo, M.G., Macconi, M. and Pasquali, A. Risolusione Numerica di Problemi ai Limiti per Equasioni Differensiali Ordinarie mediante Problemi ai Valori Iniziali, Bologna, Pitagora Editrice, 1979.Google Scholar
12. Keller, H.B. Numerical Methods for Two-Point Boundary Value Problems, Waltham, Mass: Blaisdell, 1968.Google Scholar
13. Press, W.H., Flannery, B.P., Tenkolsky, S.A. and Vetterling, W.T. Numerical recipes: The art of scientific computing (Fortran version), Cambridge University Press, 1989.Google Scholar
14. Roberts, S.M. and Shipman, J.S. Continuation in shooting methods for two-point boundary value problems, J Math Anal Appl, 1967, 18, (l),pp 4558.Google Scholar
15. Marchetti, M. and Cutolo, D. Tecnologie dei Materiali Compositi, Editoriale ESA, Milano, 1991, pp 32-35 and pp 260262.Google Scholar