Behavior of derivatives of eigenvalues and eigenvectors in curve veering and mode localization and their relation to close eigenvalues

Journal of Sound and Vibration

Volumn 256, Issue 3, 2002, Pages 551-564

  Liu, X L ^a  

^a NATIONAL LABORATORY FOR CIVIL ENGINEERING   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FREQUENCIES; SENSITIVITY ANALYSIS; STIFFNESS;

MODE LOCALIZATION;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0037136829     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2002.5010     Document Type: Article

References (19)

1. P.W. Anderson 1958 Physics Review 109, 1492-1505. Absence of diffusion in certain random lattices.
2. C.H. Hodges 1982 Journal of Sound and Vibration 82, 441-424. Confinement of vibration by structural irregularity.
3. O.O. Bendiksen 1987 American Institute of Aeronautics and Astronautics Journal 25, 1241-1248. Mode localization phenomena in large space structures.
4. C. Pierre and E.H. Dowell 1987 Journal of Sound and Vibration 114, 547-564. Localization of vibrations by structural irregularity.
5. D. Afolabi 1988 Journal of Sound and Vibration 122, 535-545. A note on the rouge failure of turbine blades.
6. S.T. Wei and C. Pierre 1988 Journal of Vibration, Acoustics, Stress, and Reliability in Design 110, 429-439. Localization phenomena in mistuned assemblies with cyclic symmetry, part I: free vibration.
7. P.J. Cornwell and O.O. Bendiksen 1989 American Institute of Aeronautics and Astronautics Journal 27, 219-226. Localization of vibrations in large space reflectors.
8. A.F. Vakakis 1992 Journal of Sound and Vibration 158, 341-361. Nonsimilar normal oscillations in a strongly nonlinear discrete system.
9. A.F. Vakakis, T. Nayfeh and M.E. King 1993 Journal of Applied Mechanics 60, 388-397. A multiple-scales analysis of nonlinear, localized modes in a cyclic periodic system.
10. S.W. Shaw and C. Pierre 1994 Journal of Sound and Vibration 169, 319-347. Normal modes of vibration for nonlinear continuous systems.
11. M.E. King and A.F. Vakakis 1994 American Institute of Aeronautics and Astronautics Journal 116, 332-340. An energy-based formulation for computing nonlinear normal modes in undamped continuous system.
12. M. Petyt and C.C. Fleischer 1971 Journal of Sound and Vibration 18, 17-30. Free vibration of a curved beam.
13. A.W. Leissa 1974 Journal of Applied Mathematics and Physics (ZAMP) 25, 99-111. On a curve veering aberration.
14. J.R. Kutter and V.G. Sigillito 1981 Journal of Sound and Vibration 75, 585-588. On curve veering.
15. M.S. Triantafyllou 1984 The Shock and Vibration Digest 16, 9-17. Linear dynamics of cables and chains.
16. G.S. Schajer 1984 Journal of Sound and Vibration 92, 11-19. The vibration of a rotating circular string subject to a fixed end restraint.
17. N.C. Perkins and C.D. Mote jr. 1986 Journal of Sound and Vibration 106, 451-463. Comments on curve veering in eigenvalue problems.
18. C. Pierre, D.M. Tang and E.H. Dowell 1987 American Institute of Aeronautics and Astronautics Journal 25, 1249-1257. Localized vibrations of disordered multi-span beams: theory and experiment.
19. C. Pierre 1988 Journal of Sound and Vibration 126, 485-502. Mode localization and eigenvalue loci veering phenomena in disordered structures.