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.
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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.
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© 2014 American Society of Civil Engineers.
History
Received: Apr 30, 2012
Accepted: Jul 19, 2012
Published online: Jul 21, 2012
Published in print: Mar 1, 2014
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