Multimode approach to nonlinear supersonic flutter of imperfect circular cylindrical shells

Journal of Applied Mechanics, Transactions ASME

Volumn 69, Issue 2, 2002, Pages 117-129

  Amabili, M ^a   Pellicano, F ^a  

^a UNIVERSITY OF PARMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CYLINDERS (SHAPES); DAMPING; DEFORMATION; DEGREES OF FREEDOM (MECHANICS); FLUTTER (AERODYNAMICS); HARMONIC ANALYSIS; MATHEMATICAL MODELS; SUPERSONIC AERODYNAMICS; SUPERSONIC FLOW;

NONLINEAR SUPERSONIC FLUTTERS;

SHELLS (STRUCTURES);

EID: 0036522193     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1435366     Document Type: Article

References (44)

1. Ashley, H., and Zartarian, G., 1956, "Piston Theory-A New Aerodynamic Tool for the Aeroelastician," J. Aeronaut. Sci., 23, pp. 1109-1118.
2. Dowell, E.H., 1966, "Flutter of Infinitely Long Plates and Shells. Part II: Cylindrical Shell," AIAA J., 4, pp. 1510-1518.
3. Olson, M.D., and Fung, Y.C., 1966, "Supersonic Flutter of Circular Cylindrical Shells Subjected to Internal Pressure and Axial Compression," AIAA J., 4, pp. 858-864.
4. Barr, G.W., and Stearman, R.O., 1970, "Influence of a Supersonic Flowfield on the Elastic Stability of Cylindrical Shells," AIAA J., 8, pp. 993-1000.
5. Ganapathi, M., Varadan, T.K., and Jijen, J., 1994, "Field-Consistent Element Applied to Flutter Analysis of Circular Cylindrical Shells," J. Sound Vib., 171, pp. 509-527.
6. Horn, W., Barr, G.W., Carter, L., and Stearman, R.O., 1974, "Recent Contributions to Experiments on Cylindrical Shell Panel Flutter," AIAA J., 12, pp. 1481-1490.
7. Dowell, E.H., 1970, "Panel Flutter: A Review of the Aeroelastic Stability of Plates and Shells," AIAA J., 8, pp. 385-399.
8. Bismarck-Nasr, M.N., 1992, "Finite Element Analysis of Aeroelasticity of Plates and Shells," Appl. Mech. Rev., 45, pp. 461-482.
9. Mei, C., Abel-Motagaly, K., and Chen, R., 1999, "Review of Nonlinear Panel Flutter at Supersonic and Hypersonic Speeds," Appl. Mech. Rev., 52, pp. 321-332.
10. Librescu, L., 1965, "Aeroelastic Stability of Orthotropic Heterogeneous Thin Panels in the Vicinity of the Flutter Critical Boundary. Part I: Simply Supported Panels," Journal de Mécanique 4, pp. 51-76.
11. Librescu, L., 1967, "Aeroelastic Stability of Orthotropic Heterogeneous Thin Panels in the Vicinity of the Flutter Critical Boundary. Part II." Journal de Mécanique 6, pp. 133-152.
12. Librescu, L., 1975, Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures, Noordhoff, Leiden, The Netherlands.
13. Olson, M.D., and Fung, Y.C., 1967, "Comparing Theory and Experiment for the Supersonic Flutter of Circular Cylindrical Shells," AIAA J., 5, pp. 1849-1856.
14. Evensen, D.A., and Olson, M.D., 1967, "Nonlinear Flutter of a Circular Cylindrical Shell in Supersonic Flow," NASA TN D-4265.
15. Evensen, D.A., and Olson, M.D., 1968, "Circumferentially Travelling Wave Flutter of a Circular Cylindrical Shell," AIAA J., 6, pp. 1522-1527.
16. Evensen, D.A., 1967, "Nonlinear Flexural Vibrations of Thin-Walled Circular Cylinders," NASA TN D-4090.
17. Olsson, U., 1978, "Supersonic Flutter of Heated Circular Cylindrical Shells With Temperature-Dependent Material Properties," AIAA J., 16, pp. 360-362.
18. Carter, L.L., and Stearman, R.O., 1968, "Some Aspects of Cylindrical Shell Panel Flutter," AIAA J., 6, pp. 37-43.
19. Barr, G.W., and Stearman, R.O., 1969, "Aeroelastic Stability Characteristics of Cylindrical Shells Considering Imperfections and Edge Constraint," AIAA J., 7, pp. 912-919.
20. Amabili, M., and Pellicano, F., 2001, "Nonlinear Supersonic Flutter of Circular Cylindrical Shells," AIAA J., 39, pp. 564-573.
21. Bolotin, V.V., 1963, Nonconservative Problems of the Theory of Elastic Stability, MacMillan, New York.
22. Dowell, E.H., 1969, "Nonlinear Flutter of Curved Plates," AIAA J., 7, pp. 424-431.
23. Dowell, E.H., 1970, "Nonlinear Flutter of Curved Plates, II," AIAA J., 8, pp. 259-261.
24. Vol'mir, S., and Medvedeva, S.V., 1973, "Investigation of The Flutter of Cylindrical Panels in a Supersonic Gas Flow," Sov. Phys. Dokl., 17, pp. 1213-1214.
25. Krause, H., and Dinkler, D., 1998, "The Influence of Curvature on Supersonic Panel Flutter," Proceedings of the 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Long Beach, CA, AIAA, Washington, DC, pp. 1234-1240.
26. Bein, T., Friedmann, P.P., Zhong, X., and Nydick, I., 1993, "Hypersonic Flutter of a Curved Shallow Panel With Aerodynamic Heating," 34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Apr. 19-22, La Jolla, CA, AIAA, Washington, DC, pp. 1-15.
27. Nydick, I., Friedmann, P.P., and Zhong, X., 1995, "Hypersonic Panel Flutter Studies on Curved Panels," Proceedings of the 36th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Vol. 5, Apr. 10-13, New Orleans, LA, AIAA, Washington, DC, pp. 2995-3011.
28. Anderson, W.J., 1962, "Experiments on the flutter of flat and slightly curved panels at Mach Number 2.81," AFOSR 2996, Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA.
29. Amabili, M., Pellicano, F., and Païdoussis, M.P., 1999, "Non-Linear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid. Part I: Stability," J. Sound Vib., 225, pp. 655-699.
30. Amabili, M., Pellicano, F., and Païdoussis, M.P., 2001, "Non-Linear Stability of Circular Cylindrical Shells in Annular and Unbounded Axial Flow," ASME J. Appl. Mech., 68, pp. 827-834.
31. El Chebair, A., Païdoussis, M.P., and Misra, A.K., 1989, "Experimental Study of Annular-Flow-Induced Instabilities of Cylindrical Shells," J. Fluids Struct., 3, pp. 349-364.
32. Amabili, M., and Païdoussis, M.P., 2001, "Review of Studies on Geometrically Nonlinear Vibrations and Dynamics of Circular Cylindrical Shells and Panels, With and Without Fluid-Structure Interaction," Appl. Mech. Rev., submitred for publication.
33. Watawala, L., and Nash, W.A., 1983, "Influence of Initial Geometric Imperfections on Vibrations of Thin Circular Cylindrical Shells," Comput. Struct., 16, pp. 125-130.
34. Hui, D., 1984, "Influence of Geometric Imperfections and In-Plane Constraints on Nonlinear Vibrations of Simply Supported Cylindrical Panels," ASME J. Appl. Mech., 51, pp. 383-390.
35. Yamaki, N., 1984, Elastic Stability of Circular Cylindrical Shells, North-Holland, Amsterdam.
36. Dowell, E.H., and Ventres, C.S., 1968, "Modal Equations for the Nonlinear Flexural Vibrations of a Cylindrical Shell," Int. J. Solids Struct., 4, pp. 975-991.
37. Amabili, M., Pellicano, F., and Païdoussis, M.P., 1999, "Non-Linear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid, Part II: Large Amplitude Vibrations Without Flow," J. Sound Vib., 228, pp. 1103-1124.
38. Amabili, M., Pellicano, F., and Païdoussis, M.P., 2000, "Non-Linear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid, Part III: Truncation Effect Without Flow and Experiments," J. Sound Vib., 237, pp. 617-640.
39. Wolfram, S., 1999, The Mathematica Book, 4th Ed., Cambridge University Press, Cambridge, UK.
40. Krumhaar, H., 1963, "The Accuracy of Linear Piston Theory When Applied to Cylindrical Shells," AIAA J., 1, pp. 1448-1449.
41. Doedel, E.J., Champneys, A.R., Fairgrieve, T.F., Kuznetsov, Y.A., Sandstede, B., and Wang, X., 1998, AUTO 97: Continuation and Bifurcation Software for Ordinary Differential Equations (With HomCont), Concordia University, Montreal, Canada.
42. Wiggins, S., 1990, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York.
43. Pellicano, F., Amabili, M., and Païdoussis, M.P., 2001, "Effect of the Geometry on the Nonlinear Vibration of Circular Cylindrical Shells," Int. J. NonLinear Mech., submitted for publication.
44. Hutchinson, J., 1965, "Axial Buckling of Pressurized Imperfect Cylindrical Shells," AIAA J., 3, pp. 1461-1466.