Paper Review: Flutter Phenomenon in Aero-Elasticity
Keywords:Aero-elasticity, Hopf bifurcation, Flutter, divergence
Flutter is aero-elasticity phenomenon concerning the analysis of the relationship among aerodynamic and elastic forces, aerodynamic forces (static-aeroelasticity). Inertia, elastic and aerodynamic forces (dynamic-aeroelasticity). Elastic forces and laws of control (aero-servo-elasticity). Modern airplane designs can be very versatile and this versatility of the airframe allows aero-elastic analysis an essential part of airplane construction and Procedures for validation. Torsional and wing flutter are the two major aero-elastic phenomena considering in airplane architecture. Hopf bifurcation is a instability case that happens when the torsional stiffness of the system is counteracted by static aerodynamic impact. Flutter is a fluctuating motion due to instability in aero-elastic influences defined by a continuous fluctuation of the system resulting from the interaction among the inertial, elastic and aerodynamic forces operating on the entire body. This article provides a better understanding for flutter phenomena and aero-elasticity issues that seek to offer readers an understanding of the topic.
. Shams Sh., Sadr M.H.,and Haddadpour H., " Nonlinear aero-elastic response of slender wings based on Wagner function", Thin-Walled Structures ,Vol 46 (2008) pp.1192– 1203
. Woolston DS, Runyan HL, and Andrews RE., "An investigation of certain types of structural nonlinearities on wing and control surface flutter" J Aeronaut Sci., Vol. 24,pp.57–63, 1957 .
. Frampton, K.D., and Clark, R.L. "Experiments on control of limit cycle oscillations in a typical section", AIAA Paper 99-1466. Proc.40th Structures, Structural Dynamics and Material Conf., St. Louis, MO, pp. 2195–2055, 1999.
. Palaniappan K, Sahu P. and Alonso J.J., " Design of Adjoint Based Laws for wing flutter control”, American Institute of Aeronautics and Astronautics Paper AIAA, 2009.
. Afkhami S. and . Alighanbari H. "Nonlinear control design of an airfoil with active flutter suppression in the presence of disturbance", IET Control Theory Appl., Vol. 1, No. 6, 2007.
. Haiwei, Y. and Jinglong H. "Robust flutter analysis of a nonlinear aeroelastic system with parametric uncertainties", Aerospace Science and Technology, Vol. 13 ,pp.139–149, 2009.
. Zeng, Y., and Singh, S.N., "Output feedback variable structure adaptive control of an aeroelastic system", J. Guidance Control Dyn., Vol. 21, pp. 830–837, 1998.
. Melin P. and Castillo O., "Adaptive intelligent control of airplane systems with a hybrid approach combining neural networks, fuzzy logic and fractal theory", Applied Soft Computing, Vol. 3, pp.353–362, 2003.
. Chen C., Wu J. and Chen J., " Prediction of flutter derivatives by artificial neural networks", Journal of Wind Engineering and Industrial Aerodynamics ,Vol. 96, pp.1925–1937, 2008.
. Lanchester and F. W., ”Torsional vibration of the Tail of an Aeroplane”, Aeronaut. Research Conference, part I, July1916.
. Bairstow L. and A. Fage, “Oscillations of the Tail Plane and Body of an Aeroplane in Flight”, Aeronaut. Research Conference, part ii, July 1916.
. Blasius, H. Umber Schwingung sercheiningen Einholmigen, Unterflugeln Z. Flugtech u. Motorluftschif, paper online, pages 39-42, 1925.
. Glauret H., “The Accelerated Motion of a Cylindrical Body through a Fluid”, Aeronaut Research Conference, M. 1215, 1929.
. Glauret H., “The Force and Moment of an Oscillating Aero foil”, Aeronaut Research Conference, M. 1242 1929.
. Theodorsen, Th., “General Theory of Aerodynamic Instability and the Mechanism of Flutter”, NACA Rept. 496, 1934.
. Smilg, B., “The Instability of Pitching Oscillations of an Airfoil in Subsonic Incompressible Potential Flow”, J. Aeronaut. Sci. , Vol. 16, pages 691-696, Nov.1949.
. Cheilik H. and H. Frissel, “Theoretical Criteria for Single Degree of Freedom Flutter at Supersonic Speeds”, Cornell Aeronaut.Lab.Rept.CAL-7A, May 1947.
. Runyan, H. L., H. J. Cunningham and C. E. Watkins, ”Theoretical Investigation of Several Types of Single-Degree-of-Freedom Flutter”, J.Aeronaut.Sci.19, pages 101-110, 126, Comments by K.P. Abichandani and R.M. Rosenberg and authors reply, 215-216; 503-504, 1952.
. Cunningham, H. J., “Analysis of Pure-Bending Flutter of a Cantilever Swept Wing and Its Relation to Bending-Torsion Flutter”, NACA Tech. Note 2461, 1951.
. Greidanus, J.H., ”Low-Speed Flutter”, J. Aeronaut. Sci., Vol. 16, pages 127-128, 1949.
. Y.C.Fung, “An Introduction to the theory of aero elasticity”, John Wiley and sons, Inc
. E. H. Dowell, “Nonlinear oscillation of a fluttering plate”, AIAA J., Vol. 4,No. 7, July 1996.
. E. H. Dowell, “Theoretical and experimental panel flutter study”, AIAA J., Vol. 3, No. 12, Dec 1995.
. L. Mirovitch, “Elements of Vibration analysis”, McGraw Hill Book Co., 1975.
. D. J. Evins, “Modal Testing: Theory and Practice”, Research and Study Press Ltd., John Wiley and Sons Inc, 1986.
. R. L. Bisplinghoff and H. Ashley, ”Aero elasticity”, Addison- Wesley Publication, 1957.
. K. F. Alvin and L. D. Paterson, “Method for determining minimum order mass and stiffness Matrices from modal test data”, AIAA J., Vol. 33, No. 1, Jan 1995.
. John Dugundji, “Theoretical consideration of Panel flutter at high supersonic Mach No.”, AIAA J., Vol. 4, No. 7, July 1966.
. J. B. Kosmatka, “Flexure-Torsion behavior of prismatic beam”, AIAA J., Vol. 31, No. 1, Jan 1993.
. Abott I. H. and Von Doenhoff, “Theory of Wing section”, McGraw Hill, Newyork, 1949.
. S. H. R. Eslimy-Islahany and A. J. Sobby, “Response of bending torsion coupled beam to deterministic and random loads”, Journal of Sound and Vibration, Vol. 2, No. 195, 1996.
. E. Dokumaci, “An Exact solution for coupled bending and torsion vibration of uniform beam having single cross section symmetry”, Journal of Sound and Vibration, Vol. 3, No. 119, 1987.
. Shyamlal Chatterji, “Active stabilization technique of dynamic machine”, M. Tech. Thesis, IIT Kanpur, March 1991.
. W. Wilson, “Calculation and Design of Electrical Apparatus”, Chapman and Hall Ltd., 1955.
. Haisler W. E. and Allen D.H., “Introduction to Aerospace structural analysis”, John Wiley Publication, 1985.
. Paul Kuhn, “Stresses in Airplane and Shell structure”, McGraw Hill Book Co.,Inc.
. W. T. Thomson, “Theory of Vibration with application”, George Allen and Unwin, Prantice Hall Publication, 1983.
. Hurty W. C. and Rubinstein M.F., “Dynamics of Structures”, Practice Hall of India Pvt. Ltd., 1967.
. S. Talukedar, S. Kamle and D. Yadav, “Track induced heave pitch dynamics of vehicles with variable section flexible attachment”, J. Vehicle System Dynamics, 1996.
. Mahdi Fatehi, Majid Moghaddam, Mohammad Rahim, “Robust flutter analysis and control of a wing”, J. Airplane Engineering and Aerospace Technology, Vol. 84, Iss. 6, pages 423 – 438, 2012.
. M. Cassaro, A. Nagy, P. Marzocca, M. Battipede, G. Ahmadi, “Novel active control strategy for LCO and flutter suppression by a coordinated use of multiple distributed surface actuators”, Proceedings of the ASME 2014 International Mechanical Engineering Congress & Exposition IMECE2014, , Montreal, Quebec, Canada, November 14-20, 2014.
. A. R. Ansari and A. R. B. Novinzadeh, “Designing a Control System for an Airplane Wing Flutter Employing Gas Actuators”, International Journal of Aerospace Engineering, Vol. 3, pages 119-128 Article ID 4209619, 2017.
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