Technical Papers
Jul 21, 2012

Stability of Flexible Orthotropic Rectangular Plates in Supersonic Flow: Amplitude-Speed Dependency in Precritical and Postcritical Flight Conditions

Publication: Journal of Aerospace Engineering
Volume 27, Issue 2

Abstract

This paper provides insights into the stability of flexible orthotropic rectangular plates in supersonic flow by revealing the amplitude-speed dependency behavior for such panels in precritical and postcritical flight conditions. Flutter and postflutter behaviors are discussed to highlight the important effect of the structural and aerodynamic nonlinearities inherently present for panels in high-speed flows. The influence of transversal shear on stability is also illustrated. Depending on the plate’s geometrical parameters, soft- and hard-type flutter behaviors are possible, and a graphical interpretation is provided along with pertinent conclusions.

Get full access to this article

View all available purchase options and get full access to this article.

References

Abbas, L. K., Rui, X., Marzocca, P., Abdalla, M., and De Breuker, R. (2009). “A parametric study on supersonic/hypersonic flutter behavior of aero-thermo-elastic geometrically imperfect curved skin panel.” Acta Mech., 222(1–2), 41–57.
Ambartsumian, S. A. (1974). The general theory of anisotropic shells, Nauka, Moscow.
Ambartsumian, S. A., and Baghdasaryan, G. E. (1961). “On the stability of orthotropic plates in supersonic gas flow.” Proc. AS of USSR, Mech. Eng., 4, 92–98.
Ashley, H., and Zartarian, C. (1956). “Piston theory – A new aerodynamic tool for the aeroelastician.” J. Aeronaut. Sci., 23(12), 1109–1118.
Baghdasaryan, G. Y. (1961). “On stability of orthotropic shells in supersonic gas flow.” Proc. AS of USSR, Mech. Eng., 14(N5), 21–30.
Bismarck-Nasr, M. N. (1999). “Aeroelasticity of plates and shells.” Chapter 9, Structural dynamics in aeronautical engineering, 1st Ed., J. S. Przemieniechi, ed., American Institute of Aeronautics and Astronautics, Reston, VA, 229–289.
Bolotin, V. V. (1963). “Stability of elastic bodies in a glass flow.” Chapter 4, Nonconservative problems of the theory of elastic stability, 1st Ed., G. Herrmann, ed., Pergamon, New York, 199–306.
Bolotin, V. V., Grishko, A. A., Kounadis, A. N., and Gantes, C. J. (1998). “Non-linear panel flutter in remote post-critical domains.” Int. J. Nonlinear Mech., 33(5), 753–764.
Bolotin, V. V., Petrovsky, A. V., and Grishko, A. A. (1996). “Secondary bifurcation and global instability of an aeroelastic non-linear system in the divergence domain.” J. Sound Vibrat., 191(3), 431–451.
Chen, Y., and Leung, A. Y. T. (1998). Bifurcation and chaos in engineering, Springer, London.
Dowell, E. H. (1974). Aeroelasticity of plates and shells, Kluwer Academic, Dordrecht, Netherlands.
Dowell, E., Edwards, J., and Strganac, T. (2003). “Nonlinear aeroelasticity.” J. Aircr., 40(5), 857–874.
Dugundji, J. (1966). “Theoretical considerations of panel flutter at high supersonic Mach numbers.” AIAA J., 4(7), 1257–1266.
Guo, X., and Mei, C. (2006). “Application of aeroelastic modes on nonlinear supersonic panel flutter at elevated temperatures.” Comput. Struct., 84(24–25), 1619–1628.
Ilyushin A. A. (1956) “The piston theory for high supersonic flows.” PMM, 20(N6), 733–755.
Kuo, Ch., Morino, L., and Dugundji, J. (1972). “Perturbation and harmonic balance methods for non-linear panel flutter problem.” AIAA J., 10(11), 1479–1484.
Librescu, L. (1965) “Aeroelastic stability of orthotropic heterogeneous thin panels in the vicinity of the flutter critical boundary.” J. Mec., 4(1), 51–76.
Librescu, L. (1975) “Mechanics of elastic stability.” Chapter 1, Elastostatics and kinetics of anisotropic and heterogeneous shell-type structures, aeroelastic stability of anisotropic multilayered thin panels, 1st Ed., Leipholz, Noordhoff International, Leyden, Netherlands, 53–63, 106–158.
Librescu, L., Marzocca, P., and Silva, W. A. (2002). “Supersonic/hypersonic flutter and post-flutter of geometrically imperfect circular cylindrical panels.” J. Spacecr. Rockets, 39(5), 802–812.
Mei, C., Abdel-Motagaly, K., and Chen, R. (1999). “Review of non-linear panel flutter at supersonic and hypersonic speed.” Appl. Mech. Rev., 52(10), 321–332.
Volmir, A. S. (1972). “Nonlinear dynamics of plates and shells, Nauka, Moscow.
Yamaguchi, T., and Nagai, K. (1997). “Chaotic vibrations of a cylindrical shell-panel with an in-plane elastic-support at boundary.” Nonlinear Dyn., 13(3), 259–277.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 27Issue 2March 2014
Pages: 369 - 377

History

Received: Apr 30, 2012
Accepted: Jul 19, 2012
Published online: Jul 21, 2012
Published in print: Mar 1, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

G. Y. Baghdasaryan
Professor, Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan 0019, Republic of Armenia.
M. A. Mikilyan
Associate Professor, Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan 0019, Republic of Armenia.
P. Marzocca [email protected]
Associate Professor, Dept. of Mechanical and Aeronautical Engineering, Clarkson Univ., Potsdam, NY 13699 (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share