Veering phenomena in systems with gyroscopic coupling

Journal of Applied Mechanics, Transactions ASME

Volumn 72, Issue 5, 2005, Pages 641-647

  Vidoli, Stefano ^a   Vestroni, Fabrizio ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; GYROSCOPES; MATHEMATICAL OPERATORS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES;

EIGENMODES; GYROSCOPIC OPERATORS; VEERING PHENOMENA;

MECHANICS;

EID: 24744458632     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1940666     Document Type: Article

References (20)

1. Leissa, A. W., 1974, "On a Curve Veering Abberation," J. Appl. Math. Phys. (ZAMP), 25, pp. 99-111.
2. Doll, R. W., and Mote, C. D., 1976, "On the Dynamics Analysis of Curved and Twisted Cylinders Transporting Fluids," J. Pressure Vessel Technol., 98, pp. 143-149.
3. Ramaswamy, R., and Marcus, R. A., 1981, "Perturbative Examination of Avoided Crossings," J. Chem. Phys., 72, pp. 1379-1384.
4. Nair, P. S., and Durvasula, S., 1973, "On Quasi Degeneracies in Plate Vibration Problems," Int. J. Mech. Sci., 15, pp. 975-986.
5. Triantafyllou, M. S., 1984, "The Dynamics of Taut Inclined Cables," Q. J. Mech. Appl. Math., 37, pp. 421-440.
6. Russel, J. C., and Lardner T. J., 1998, "Experimental Determination of Frequencies and Tension for Elastic Cables," J. Eng. Mech., 124, pp. 1067-1072.
7. Behbahani-Nejad, M., and Perkins, N. C., 1996, "Freely Propagating Waves in Elastic Cables," J. Sound Vib., 196, pp. 189-202.
8. Cheng, S. P., and Perkins, N. C., 1992, "Closed Form Vibration Analysis of Sagged Cable/mass Suspensions," J. Appl. Mech., 59, pp. 923-928.
9. Pierre, C., 1988, "Mode Localization and Eigenvalues Loci Veering Phenomena in Disordered Structures," J. Sound Vib., 126 (3), pp. 485-502.
10. Triantafyllou, M. S., and Triantafyllou, G. S., 1991, "Frequency Coalescence and Mode Localization Phenomena: A Geometric Theory," J. Sound Vib., 150 (3), pp. 485-500.
11. Natsiavas, S., 1993, "Mode Localization and Frequency Veering in a Non-conservative System With Dissimilar Components," J. Sound Vib., 165, pp. 137-147.
12. Perkins, N. C., and Mote, C. D., 1986, "Comments on Curve Veering in Eigenvalues Problems," J. Sound Vib., 106, pp. 451-463.
13. Pierre, C., and Dowell, E. H., 1987, "Localization of Vibrations by Structural Irregularity," J. Sound Vib., 114, pp. 549-564.
14. Happawana, G. S., Bajaj, A. K., and Nwokah, O. D. I., 1993, "A Singular Perturbation Analysis for Eigenvalue Veering and Modal Sensitivity in Perturbed Linear Periodic Systems," J. Sound Vib., 160, pp. 225-242.
15. Arnold, V. I., 1989, Mathematical Method of Classical Mechanics, 2nd ed., Springer-Verlag, New York.
16. Meirovitch, L., 1974, "A New Method of Solution of the Eigenvalue Problem for Gyroscopic Systems," AIAA J. 12 (10), pp. 1337-1342.
17. den Hartog, J. P., 1934, Mechanical Vibrations, 4th ed., McGraw-Hill, New York.
18. Lacarbonara, W., and Vestroni, F., 2002, "Feasibility of a Vibration Absorber Based on Hysteresis," Proceedings of the Third World Conference on Structural Control, Como, Italy.
19. Vidoli, S., and dell'Isola, F., 2001, "Vibration Control in Plates by Uniformly Distributed Actuators Interconnected via Electric Networks," Eur. J. Mech. A/Solids, 20, pp. 435-456.
20. dell'Isola, F., Vestroni, F., and Vidoli, S., 2002, "A Class of Electromechanical Systems: Linear and Nonlinear Mechanics," J. Theoretical Appl. Mech., 40 (1), pp. 47-71.