Dowell, E. H., Edwards, J., and Strganac, T. W., 2003, “Non-linear Aeroelasticity,” J. Aircr., 5 (40), pp. 857–874.

[CrossRef]Dowell, E. H., 1974, "*Aeroelasticity of Plates and Shells*", Kluwer Academic, Dordrecht, pp. 35–49.

Dowell, E. H., 1972, “Panel flutter,” NASA SP-8004.

Dugundji, J., 1966, “Theoretical Considerations of Panel Flutter at High Supersonic Mach Numbers,” AIAA J., 4 (7), pp. 1257–1266.

[CrossRef]Librescu, L., Marzocca, P., and Silva, W. A., 2002, “Supersonic/Hypersonic Flutter and Postflutter of Geometrically Imperfect Circular Cylindrical Panels,” J. Spacecr. Rockets, 39 (5), pp. 802–812.

[CrossRef]Bolotin, V. V., 1963, "*Non-Conservative Problems of the Theory of Elastic Stability*", 1st ed., Corrected and Authorized ed., G.Herrmann, ed., Pergamon, New York, Chap. 4, pp. 199–306 (translated from Russian).

Librescu, L., 1965, “Aeroelastic Stability of Orthotropic Heterogeneous Thin Panels in the Vicinity of the Flutter Critical Boundary,” Journal de M′ecanique, 4 Part 1, pp. 51–76.

Librescu, L., 1975, "*Aeroelastic Stability of Anisotropic Multilayered Thin Panels. Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures*", Noordhoff, Leyden, pp. 53–63; 106–158.

Ashley, H., and Zartarian, G., 1956, “Piston Theory–a New Aerodynamic Tool for the Aeroelastician,” J. Aerosp. Sci., 23 (10), pp. 1109–1118.

Bisplinghoff, R. L., and Ashley, H., 1996, "*Principles of Aeroelasticity*", Dover, New York, 217–234.

Dowell, E. H., 1966, “Non-linear Oscillations of a Fluttering Plate,” AIAA J., 4 (7), pp. 1267–1275.

[CrossRef]Dowell, E. H., 1967, “Non-linear Oscillations of a Fluttering Plate II,” AIAA J., 5 (10), pp. 1856–1862.

[CrossRef]Dowell, E. H., 1970, “Panel Flutter: A Review of the Aeroelastic Stability of Plates and Shells,” AIAA J., 8 (3), pp. 385–399.

[CrossRef]Moon, F. C., 1992, "*Chaotic and Fractal Dynamics*", Wiley, New York.

Dowell, E. H., 1982, “Flutter of a Buckled Plate as an Example of Chaotic Motion of a Deterministic Autonomous System,” J. Sound Vib., 85 (3), pp. 333–344.

[CrossRef]Pezeshki, C., and Dowell, E. H., 1989, “Generation and Analysis of Lyapunov Exponents for the Buckeled Beam,” Int. J. Non-Linear Mech., 24 (2), pp. 79–97.

[CrossRef]Sipcic, S. R., 1990, “Chaotic Response of Fluttering Panel-The Influence of Maneuvering,” Int. J. Non-Linear Dyn. Chaos Eng. Syst., 1 , pp. 243–264.

[CrossRef]Sipcic, S. R., and Morino, L., 1991, “Dynamic Behavior of the Fluttering Two-Dimensional Panels on An Airplane in Pull-Up Maneuver,” AIAA J., 29 (8), pp. 1304–1312.

[CrossRef]Yamaguchi, T., and Nagai, K., 1997, “Chaotic Vibrations of a Cylindrical Shell-Panel with an In-Plane Elastic-Support at Boundary,” Int. J. Non-Linear Dyn. Chaos Eng. Syst., 13 , pp. 259–277.

[CrossRef]Kuo, Ch., Morino, L., and Dugundji, J., 1972, “Perturbation and Harmonic Balance Methods for Non-linear Panel Flutter Problem,” AIAA J., 10 (11), pp. 1479–1484.

[CrossRef]Chen, Y., and Leung, A. Y. T., 1998, "*Bifurcation and Chaos in Engineering*", Springer, London.

Hodges, D. H., 1977, “A Simplified Algorithm for Determining the Stability of Linear System,” AIAA J., 15 (2), pp. 424–425.

[CrossRef]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. Non-Linear Mech., 33 (5), pp. 753–764.

[CrossRef]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 Vib., 191 (3), pp. 431–451.

[CrossRef]Mei, C., Abdel-Motagaly, K., and Chen, R., 1999, “Review of Non-linear Panel Flutter at Supersonic and Hypersonic Speed,” "*CEAS/AIAA/ICASE/NASA Langley International Forum on Aeroelasticity and Structural Dynamics, NASA CP-1999-209136/PT 1*", W.Whitlow, Jr., and E.N.Todd, eds., pp. 171–188.

Bismarck-Nasr, M. N., 1999, "*Structural Dynamics in Aeronautical Engineering*", 1st ed., J.S.Przemieniechi, ed., AIAA Education Series, AIAA, Reston, VA, Chap. 9, pp. 229–289.

Mei, C., 1977, “Finite Element Approach of Non-linear Panel Flutter,” AIAA J., 15 (6), pp. 1107–1110.

[CrossRef]Dowell, E. H., and Ilgamov, M. A., 1988, "*Studies in Non-linear Aeroelasticity*", 1st ed., Springer-Verlag, New York, (Chap. 2, pp. 29–63; Chap. 6, pp. 206–277).

Dowell, E. H., and Voss, H. M., 1965, “Theoretical and Experimental Panel Flutter Studies in the Mach Number Range 1.0 to 5.0,” AIAA J., 3 (12), pp. 2292–2304.

[CrossRef]Kim, D. H., and Lee, I., 2000, “Transonic and Low-Supersonic Aeroelastic Analysis of Two Degree of Freedom Airfoil with Freeplay Non-linearity,” J. Sound Vib., 234 (5), pp. 859–880.

[CrossRef]Fazelzadeh, S. A., 2004, “Chaotic Analysis of Non-linear Curved-Panel Flutter Under Supersonic Flow,” "*Proceedings of the 7th and International Symposium Transport Noise and Vibration*", Petersburg, Russia.

Lee, B. H. K., Price, S. J., and Wong, Y. S., 1999, “Non-Linear Aeroelastic Analysis of Airfoils: Bifurcation and Chaos,” Prog. Aerosp. Sci., 35 (3), pp. 205–334.

[CrossRef]Breitbach, E. J., 1978, “Effects of Structural Non-Linearities on Aircraft Vibration and Flutter,” TR-665, AGARD.

Beldica, C. E., Hilton, H. H., and Kubair, D., 2001, “Viscoelastic Panel Flutter–Stability, Probabilities of Failure and Survival Times,” "*Proceedings of the 42nd and AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference*", Seattle, WA, pp. 3423–3433.

Dorsey, J. T., Poteet, C. C., and Chen, R. R., 2002, “Metallic Thermal Protection System Technology Development: Concepts, Requirements and Assessment Overview,” "*Proceedings of the 40th Aerospace Science Meeting, AIAA 2002-0502*", Reno, NV.

Librescu, L., Marzocca, P., and Silva, W. A., 2004, “Linear/Non-linear Supersonic Panel Flutter in a High-Temperature Field,” J. Aircr., 41 (4), pp. 918–924.

[CrossRef]Gee, D. J., and Sipcic, S. R., 1999, “Coupled Thermal Model for Non-linear Panel Flutter,” AIAA J., 37 (5), pp. 624–649.

[CrossRef]Fung, Y. C., 1954, “The Static Stability of a Two Dimensional Curved Panel in a Supersonic Flow with an Application to Panel Flutter,” J. Aeronaut. Sci., 21 , pp. 556–565.

Houbolt, J. C., 1965, “A Study of Several Aerothermoelastic Problems of Aircraft Structures in High-Speed Flight,” "*Mitteilungen Aus Dem Institute fur Flugzeugstatik und Leichtbau*", 5 , Verlag Leeman, Zurich.

Schaeffer, H. G., and Heard, W. L., 1965, “Flutter of a Flat Panel Subjected to a Non-linear Temperature Distribution,” AIAA J., 8 , pp. 1918–1923

[CrossRef].

Ventres, C. S., and Dowell, E. H., 1970, “Comparison of Theory and Experiment for Non-linear Flutter of Loaded Plates,” AIAA J., 8 , pp. 2022–2030.

[CrossRef]Yang, T. Y, and Han, A. D., 1976, “Flutter of Thermally Buckled Finite Element Panels,” AIAA J., 14 , pp. 975–977.

[CrossRef]Xue, D. Y., and Mei, C., 1993, “Finite Element Non-linear Panel Flutter with Arbitrary Temperatures in Supersonic Flow,” AIAA J., 31 (1), pp. 154–162.

[CrossRef]Zhou, R. C., Xue, D. Y., and Mei, C., 1994, “Finite Element Time Domain Modal Formulation for Non-linear Flutter of Composite Panels,” AIAA J., 32 (10), pp. 2044–2052.

[CrossRef]Pourtakdoust, S. H., and Fazelzadeh, S. A., 2005, “Non-linear Aerothermoelastic Behavior of Skin Panel with Wall Shear Stress Effect,” J. Therm. Stresses, 28 , pp. 147–169.

[CrossRef]Bein, T., Friedmann, P. P., Zhong, X., and Nydick, I., 1993, “Hypersonic Flutter of a Curved Shallow Panel with Aerodynamic Heating,” AIAA Paper No. 93-1318.

Pourtakdoust, S. H., and Fazelzadeh, S. A., 2003, “Chaotic Analysis of Non-Linear Viscoelastic Panel Flutter in Supersonic Flow,” Int. J. Non-Linear Dyn. Chaos Eng. Syst., 32 (4), pp. 387–404

[CrossRef].

Morino, L., 1969, “A Perturbation Method for Treating Non-linear Panel Flutter Problems,” AIAA J., 7 (3), pp. 405–411.

[CrossRef]
Ariaratnam, S. T., and Abdelrahman, N. M., 2001, “Almost-Sure Stochastic Stability of Viscoelastic Plates in Supersonic Flow,” AIAA J., 39 (3), pp. 465–472.

[CrossRef]Bismarck-Nasr, M. N., and Bones, C. A., 2000, “Damping Effects in Non-linear Panel Flutter,” AIAA J., 38 (4), pp. 711–713.

[CrossRef]Drozdov, A., 1998, "*Viscoelastic Structures: Mechanics of Growth and Aging*", Academic Press, New York.

Epureanu, B. I., Yin, S. H., and Dowell, E. H., 2005, “Enhanced Non-linear Dynamics for Accurate Identification of Stiffness Loss in a Thermo-Shielding Panel,” Non-Linear Dyn., 39 , p. 197.

[CrossRef]Yin, S. H., and Epureanu, B. I., 2005, “Enhanced Non-linear Dynamics and Monitoring Bifurcation Morphing for the Identification of Parameter Variations,” J. Fluids Struct., 21 , p. 543.

[CrossRef]Epureanu, B. I., Tang, L. S., and Paidoussis, M. P., 2004, “Coherent Structures and their Influence on the Dynamics of Aeroelastic Panels,” Int. J. Non-Linear Mech., 39 (6), pp. 977–991.

[CrossRef]Amabili, M., and Pellicano, F., 2001, “Non-Linear Supersonic Flutter of Circular Cylindrical Shells,” AIAA J., 39 (4), pp. 564–573.

[CrossRef]Kubenko, V. D., and Koval’chuk, P. S., 2004, “Influence of Initial Geometric Imperfections on the Vibration and Dynamic Stability of Elastic Shells,” Int. Appl. Mech., 40 (8), pp. 847–877.

[CrossRef]Walter, J. H., Gerald, W. B., and Ronald, O. S., 1971, “The Influence of a High Velocity Fluid Environment on the Static and Dynamic Stability of Thin Cylindrical Shell Structures,” "*Proccedings of the International Association for Shell Structures, Pacific Symposium on Hydromechanically Loaded Shells: Part I*", Honolulu, HI.

Nowacki, W., 1986, "*Thermo-Elasticity*", Pergamon Press, New York.

Bolotin, V. V., Grishko, A. A., and Panov, M. Yu., 2002, “Effect of Damping on the Postcritical Behaviour of Autonomous Non-Conservative Systems,” Int. J. Non-Linear Mech., 37 (7), pp. 1163–1179

[CrossRef].

Ellen, C. H., 1968, “Influence of Structural Damping on Panel Flutter,” AIAA J., 6 , pp. 2169–2174.

[CrossRef]Lottati, I., 1985, “The Role of Damping on Supersonic Panel Flutter,” AIAA J., 23 , pp. 1640–1642.

[CrossRef]Hilton, H. H., 2001, “Implications and Constraints of Time-Independent Poisson Ratios in Linear Isotropic and Anisotropic Viscoelasticity,” J. Elast., 63 (3), pp. 221–251.

[CrossRef]Resende, H. B., 1993, “Hypersonic Panel Flutter in a Rarefied Atmosphere,” NASA Contractor Report No. 4514, Grant No. NGL-05-020-243.

Fung, Y. C., 1958, “Two-Dimensional Panel Flutter,” J. Aerosp. Sci., 25 (3), pp. 147–159.

Gray, C. E., and Mei, C., 1993, “Large-Amplitude Finite Element Flutter Analysis of Composite Panel in Hypersonic Flow,” AIAA J., 31 (6), pp. 1090–1099.

[CrossRef]Dowell, E. H., 1969, “Non-linear Flutter of Curved Plates, Part 1,” AIAA J., 7 (3), pp. 424–431.

[CrossRef]Dowell, E. H., 1970, “Non-Linear Flutter of Curved Plates, Part 2,” AIAA J., 8 (2), pp. 259–261.

[CrossRef]Eastep, F. E., and McIntosh, S. C., 1971, “Analysis of Non-linear Panel Flutter and Response under Random Excitation or Non-linear Aerodynamic Loading,” AIAA J., 9 (3), pp. 411–418.

[CrossRef]Dowell, E. H., 1966, “The Flutter of Infinitely Long Plates and Shells, Part 1: Plate,” AIAA J., 4 (8), pp. 1370–1377.

[CrossRef]Dowell, E. H., 1966, “The Flutter of Infinitely Long Plates and Shells, Part 2: Cylindrical Shell,” AIAA J., 4 (9), pp. 1510–1518.

[CrossRef]Gee, D. J., 2000, “Numerical Continuation Applied to Panel Flutter,” Int. J. Non-Linear Dyn. Chaos Eng. Syst., 22 , pp. 271–280.

[CrossRef]Librescu, L., Chiocchia, C., and Marzocca, P., 2003, “Implications of Cubic Physical/Aerodynamic Non-Linearities on the Character of the Flutter Instability Boundary,” Int. J. Non-Linear Mech., 38 , pp. 173–199.

[CrossRef]Ko, W. L., 1996, “Analysis of Hypersonic Aircraft Hat-Stiffened Panels with Varying Face Sheet Geometry and Fiber Orientation,” NASA Technical Memorandum 4770.