Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-22T10:11:01.806Z Has data issue: false hasContentIssue false

The effect of multiple stores arrangement on flutter speed of a shear deformable wing subjected to pull-up angular velocity

Published online by Cambridge University Press:  03 February 2016

S. A. Fazelzadeh
Affiliation:
Department of Mechanical Engineering, Shiraz University, Shiraz, Iran
A. Mazidi
Affiliation:
Department of Mechanical Engineering, Shiraz University, Shiraz, Iran
A. R. Rahmati
Affiliation:
Department of Mechanical Engineering, Shiraz University, Shiraz, Iran
P. Marzocca
Affiliation:
Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY USA

Abstract

The aeroelastic modeling and flutter characteristics of a shear deformable wing/stores configuration under pull-up angular velocity is investigated. An isotropic non-uniform wing, which structural model incorporates flexibility in transverse shear and warping effects, is considered. The aeroelastic governing equations and boundary conditions are determined via Hamilton’s variational principle. In order to exactly consider the span wise location and properties of the attached stores the generalised function theory is used. The partial differential equations are transformed into a set of eigenvalue equations through the extended Galerkin’s approach. Numerical simulation highlighting the effects of the pull-up angular velocity and store parameters and configurations, such as mass ratio and their attachment locations, on the flutter speed are presented. The results of flutter analyses are validated with the published results and good agreement is observed. Furthermore, the procedure for an optimal deployment of stores is obtained for the case of the wing with four stores.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2009 

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. Agard, Specialists Meeting on Wing-with-stores Flutter, AGARD-CP-162, 1975.Google Scholar
2. Goland, M., The flutter of a uniform cantilever wing, J App Mech, 1945, 12, pp 197208.Google Scholar
3. Goland, M. and Luke, Y.L., The flutter of a uniform wing with tip weights, J App Mech, 1948, 15, pp 1320.Google Scholar
4. Fung, Y.C., An Introduction to the Theory of Aeroelasticity, Dover Publications, New York, USA, 1955.Google Scholar
5. Milne, R.D., Some remarks on the dynamics of the deformable bodies, AIAA J, 1968, 6, pp 556558.Google Scholar
6. Housner, J.m and Stein, M., Flutter analysis of swept-wing subsonic aircraft with parameter studies of composite wings, NASA TND-7539, 1974.Google Scholar
7. Runyan, H.L. and Sewall, J.L., experimental investigation of the effects of concentrated weights on flutter characteristics of a straight cantilever wing, NACA TN 1848, 1949.Google Scholar
8. Eastep, F., Transonic flutter analysis of a rectangular wing with conventional airfoil sections, AIAA J, 1986, 18, (10), pp 11591164.Google Scholar
9. Lottati, I., Aeroelastic stability characteristics of a composite swept wing with tip weights for an unrestrained vehicle, J Aircr, 1987, 24, (11), pp 793802.Google Scholar
10. Sipcic, S.R. and Morino, L., Dynamic behavior of the fluttering two-dimensional panels on an airplane in pull-up manoeuvre, AIAA J, 1991, 29, (8), pp 13041312.Google Scholar
11. Meirovitch, L. and Tuzcu, I., Unified theory for the dynamics and control of manoeuvreing flexible aircraft, AIAA J, 2004, 42, (4), pp 714727.Google Scholar
12. Meirovitch, L. and Tuzcu, I., Time simulations of the response of manoeuvreing flexible aircraft, J Guid Control Dynam, 2004, 27, (5), pp 814828.Google Scholar
13. Fazelzadeh, S.A. and Mazidi, A., Nonlinear equations of motion for the manoeuvreing flexible aircraft wings, ASME-PVP-ICPVT11-93624 on CD-Rom and Proceedings of the 6th ASME International Symposium FSI, Aeroelasticity, FIV and Noise, Vancouver, Canada, 2006, 9, pp 217226.Google Scholar
14. Karpouzian, C. and Librescu, L., Non-classical effects on divergence and flutter of anisotropic swept aircraft wings, AIAA J, 1996, 34, (4), pp 786794.Google Scholar
15. Gern, H. and Librescu, L., Effect of externally mounted stores on aeroelasticity of advanced aircraft wings, J Aerosp Sci Technol, 1998, 2, (5), pp 321333.Google Scholar
16. Byreddy, C., Grandhi, R.V. and Beran, P., dynamic aeroelastic instabilities of an aircraft wing with under wing store in transonic regime, J Aerosp Engrg, 2005, 18, (4), pp 206214.Google Scholar
17. Tang, D.M. and Dowell, E.H., Flutter and limit cycle oscillations for of a wing–store model with freeplay, J Aircr, 2006, 43, (2), pp 487503.Google Scholar
18. Tang, D.M., Attar, P. and Dowell, E.H., Flutter/Limit cycle oscillation analysis and experiment for wing-store model, AIAA J, 2006, 44, (7), pp 16621675.Google Scholar
19. Librescu, L. and Song, O., Dynamics of composite aircraft wings carrying external stores, AIAA J, 2008, 46, (3), pp 568572.Google Scholar
20. Baruh, H., Analytical Dynamics, McGraw-Hill, Boston, USA, 1999.Google Scholar
21. Marzocca, P., Librescu, L. and Chiocchia, G., Aeroelasticity of two-dimensional lifting surfaces via indicial function approach, Aeronaut J, 2002, 106, (1056), pp 147153.Google Scholar
22. Qin, Z., Marzocca, P. and Librescu, L., Aeroelastic instability and response of advanced aircraft wings at subsonic flight speeds, J Aerosp Sci Technol, 2002, 6, (5), pp 195208.Google Scholar