On the direct determination of the eigenmodes of finite flow-structure systems

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 465, Issue 2101, 2009, Pages 257-281

  Pitman, Mark W ^a   Lucey, Anthony D ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

Eigenanalysis; Flow structure interaction; Hybrid computational theoretical methods; Panel instability

Indexed keywords

BOUNDARY VALUE PROBLEMS; ELECTRIC NETWORK ANALYSIS; ENERGY DISSIPATION; EQUATIONS OF MOTION; FLOW INTERACTIONS; FLUTTER (AERODYNAMICS); INCOMPRESSIBLE FLOW; PLATES (STRUCTURAL COMPONENTS); SYSTEM STABILITY; THEOREM PROVING;

CLASSICAL PROBLEMS; COMPUTATIONAL MODELLING; COUPLED EQUATIONS; DIRECT DETERMINATIONS; DISCRETIZED SYSTEMS; EIGEN MODES; EIGENANALYSIS; ENERGY EXCHANGES; FINITE-ELEMENT METHODS; FLEXIBLE PANELS; FLEXIBLE PLATES; FLOW SPEEDS; FLOW SYSTEMS; FLOW-STRUCTURE INTERACTION; FLUTTER INSTABILITIES; GALERKIN; HYBRID COMPUTATIONAL-THEORETICAL METHODS; PANEL INSTABILITY; SINGLE MATRIX EQUATIONS; SPATIAL IN HOMOGENEITIES; STABILITY DIAGRAMS; STRUCTURE SYSTEMS; THEORETICAL ANALYSES; TRAVELLING WAVES; WAVE METHODS;

FINITE ELEMENT METHOD;

EID: 57249111591     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2008.0258     Document Type: Article

References (28)

1. Abrahams, I. D. & Wickham, G. It. 2001 On transient oscillations of plates in moving fluids. Wave Motion 33, 7-23. (doi:10.1016/S0165-2125(00)00060-3)
2. Brazier-Smith, P. R. & Scott, J. F. 1984 Stability of fluid flow in the presence of a compliant surface. Wave Motion 6, 547-560. (doi:10.1016/0165-2125(84)90045-3)
3. Carpenter, P. W. 1990 Status of transition delay using compliant walls. In Viscous drag reduction in boundary layers (eds D. M. Bushnell & J. N. Heffner), pp. 79-113. New York, NY: AIAA.
4. Carpenter, P. W. & Garrad, A. D. 1986 The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities. J. Fluid Mech. 170, 199-232. (doi:10.1017/ S002211208600085X)
5. Crighton, D. G. & Oswell, J. E. 1991 Fluid loading with mean flow. I. Response of an elastic plate to localized excitation. Phil. Trans. R. Soc. A 335, 557-592. (doi:10.1098/rsta.1991.0060)
6. Doaré, O. & dc Langre, E. 2002 Local and global instability of fluid-conveying pipes on elastic foundations. J. Fluids Struct. 16, 1-14. (doi:10.1006/jfls.2001.0405)
7. Doare, O. & de Langre, E. 2006 The role of boundary conditions in the instability of onedimensional systems. Eur. J. Fluid Mech. 25, 948-959. (doi:10.1016/j.euromcchflu.2006.01.001)
8. Dugundji, J., Dowell, E. & Perkin, B. 1963 Subsonic flutter of panels on a continuous elastic foundation. AIAA J. 1, 1146-1154. (doi:10.2514/3.54933)
9. Duncan, J. H., Waxman, A. W. & Tulin, M. P. 1985 The dynamics of waves between a visco-elastic coating and a fluid flow. J. Fluid Mech. 158, 177-197. (doi:10.1017/S0022112085002609)
10. Ehrenstein, U. & Gallaire, F. 2005 On two-dimensional temporal modes in spatially evolving open flows: the flat-plate boundary layer. J. Fluid Mech. 536, 209-218. (doi:10.1017/S0022112005005112)
11. Ellen, C. H. 1973 The stability of simply supported rectangular surfaces in uniform subsonic flow. ASME J. Appl. Mech. 95, 68-72.
12. Eloy, C., Souilliez, C. & Schouveiler, L. 2007 Flutter of a rectangular cantilevered plate. J. Fluids Struct. 23, 904-919. (doi:10.1016/j.jfluidstructs.2007.02.002)
13. Garrad, A. D. & Carpenter, P. W. 1982 A theoretical investigation of flow-induced instabilities in compliant coatings. J. Sound Vib. 84, 483-500. (doi:10.1016/0022-460X(82)90318-2)
14. Guo, C. Q. & Païdoussis, M. P. 2000 Stability of rectangular plates with free side-edges in twodimensional inviscid channel flow. J. Appl. Mech. 67, 171-176. (doi:10.1115/1.321143)
15. Howell, R. M., Lucey, A. D. & Carpenter, P. W. 2006 Instability of a cantilevered flexible plate in inviscid channel flow. In ASME Conf. Proc. vol. 9, paper PVP2006-ICPVT-11-93941, pp. 769-776. (doi:10.1115/PVP2006-ICPVT- 11-93941)
16. Huang, L. 1995 Flutter of cantilevered plates in axial flow. J. Fluids Struct. 9, 127-447. (doi:10.1006/jfls.1995.1007)
17. Ishii, T. 1965 Aeroelastic instabilities of simply supported panels in subsonic flow. AIAA Paper AIAA-1965-752.
18. Lucey, A. D. 1998 The excitation of waves on a flexible panel in a uniform flow. Phil. Trans. R. Soc. A 356, 2999-3039. (doi:10.1098/rsta.1998.0306)
19. Lucey, A. D. & Carpenter, P. W. 1992 A numerical simulation of the interaction of a compliant wall and an inviscid flow. J. Fluid, Mech. 234, 121-146. (doi:10.1017/S0022112092000727)
20. Lucey, A. D. & Carpenter, P. W. 1993 The hydroelastic stability of three-dimensional disturbances of a finite compliant panel. J. Sound Vih. 165, 527-552. (doi:10.1006/jsvi.1993.1275)
21. Lucey, A. D., Cafolla, G. J., Carpenter, P. W. & Yang, M. 1997 The nonlinear hydroelastic behaviour of flexible walls. J. Fluids Struct. 11, 717-744. (doi:10.1006/jfls.1997.0107)
22. Lucey, A. D., Sen, P. K. & Carpenter, P. W. 2003 Excitation and evolution of waves on an inhomogeneous flexible wall in a mean flow. J. Fluids Struct. 18, 251-267. (doi:10.1016/j.jfluidstructs.2003.07.003)
23. Païdoussis, M. P. 1998 Fluid structure interactions, slender structures and axial flows, vol. 1. London, UK: Academic Press.
24. Peake, N. 1997 On the behaviour of a fluid-loaded cylindrical shell with mean flow. J. Fluid Mech. 338, 387-410. (doi:10.1017/ S0022112097005144)
25. Peake, N, 2004 On the unsteady motion of a long fluid-loaded elastic plate with mean flow. J. Fluid Mech. 507, 335-366. (doi:l6.1017/S0022112004008808)
26. Pitman, M. W. & Lucey, A. D. 2007. Eigen-analysis of a fully viscous boundary-layer flow interacting with a finite compliant surface. In Proc. 16th Australasian Fluid Mechanics Conf., Gold Coast, Australia, 2-7 December 2007 (eds P. Jacobs. T. McIntyre, M. Cleary, D. Buttsworth, D. Mee, R. Clements, R. Morgan & C. Lemckert). CD-ROM.
27. Tang, L. & Païdoussis, M. P. 2007 On the instability and the post-critical behaviour of twodimensional cantilcvercd flexible plates in axial flow. J. Sound Vib. 305, 97-115. (doi:10.1016/j.jsv.2007.03.042)
28. Weaver, D. S. & Unny, T. S. 1971 The hydroelastic stability of a flat plate. ASME J. Appl. Mech. 37, 823-827.