TECHNICAL PAPERS
Sep 15, 2009

Analytical Solution of the Possio Integral Equation for the Sonic Case

Publication: Journal of Aerospace Engineering
Volume 22, Issue 4

Abstract

We present a closed form analytical solution of the Possio integral equation of aeroelasticity for the sonic case M=1 , both time-domain and Laplace domain, including a numerical example for the flutter speed, where the flutter mode differs from that for M=0 . A noteworthy feature is that the Kutta condition is not satisfied and is not needed for uniqueness of solution.

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Acknowledgments

Research supported in part under NSF Grant No. NSFECCS-0722750.

References

Albano, E., and Rodden, R. P. (1969). “A double-lattice method of calculating lift distributions on oscillating surfaces in subsonic flows.” AIAA J., 7, 279–285.
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Balakrishnan, A. V. (2003). “Possio integral equation of aeroelasticity theory.” J. Aerosp. Eng., 16(4), 139–154.
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Balakrishnan, A. V., and Iliff, K. W. (2007). “A continuum aeroelastic model for inviscid subsonic bending-torsion wing flutter.” J. Aerosp. Eng., 20(3), 152–164.
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Dowell, E. H., Thomas, J. P., and Hall, K. C. (2004). “Transonic limit cycle oscillation analysis using reduced order aerodynamic models.” J. Fluids Struct., 19, 17–27.
Fung, Y. C. (1983). An introduction to the theory of aeroelasticity, Dover, New York.
Goland, M. (1945). “The flutter of a uniform cantilever wing.” J. Appl. Math., 12(4), 197–208.
Nixon, D. (1989). “Basic equations for unsteady transonic flow.” Unsteady transonic aerodynamics, D. Nixon, ed., Chap. 2, American Institute of Aeronautics and Astronautics, Washington, D.C., 57–73.
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Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 22Issue 4October 2009
Pages: 434 - 437

History

Received: Aug 12, 2008
Accepted: Sep 12, 2008
Published online: Sep 15, 2009
Published in print: Oct 2009

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Authors

Affiliations

A. V. Balakrishnan [email protected]
Flight Systems Research Center, Univ. of California, Los Angeles, Los Angeles, CA 90095-1594 (corresponding author). E-mail: [email protected]

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