Vibration and wave localization in a nearly periodic beaded string

Journal of the Acoustical Society of America

Volumn 101, Issue 6, 1997, Pages 3430-3442

  Óttarsson, Gisli ^a   Pierre, Christophe ^b  

^a Mechanical Dynamics Inc   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CURVE FITTING; DYNAMICS; LINEAR SYSTEM; PRIORITY JOURNAL; SIMULATION; STATISTICAL MODEL; SYSTEM ANALYSIS; VIBRATION; WAVEFORM;

EID: 0030993103     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.419510     Document Type: Article

References (17)

1. I. B. Crandall, Theory of Vibrating Systems and Sound (Van Nostrand, New York, 1926).
2. D. J. Mead, "Wave propagation and natural modes in periodic systems, I: mono-coupled systems," J. Sound Vib. 40, 1-18 (1975).
3. N. A. Valero and O. O. Bendiksen, "Vibration Characteristics of Mistuned Shrouded Blade Assemblies," ASME J. Eng. Gas Turbines Power 108, 293-299 (1986).
4. S. T. Wei and C. Pierre, "Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry, Part I: Free Vibrations," ASME J. Vib. Acoust., Stress Reliability Design 110, 429-438 (1988).
5. D. Bouzit and C. Pierre, "Vibration Confinement Phenomena in Disordered, Mono-coupled, Multi-span Beams," ASME J. Vib. Acoust. 114, 521-530 (1992).
6. C. Pierre and P. D. Cha, "Strong mode localization in nearly periodic disordered structures," AIAA J. 27, 227-241 (1989).
7. C. Pierre and E. H. Dowell, "Localization of vibrations by structural irregularity," J. Sound Vib. 114, 529-564 (1987).
8. P. J. Cornwell and O. O. Bendiksen, "Localization of vibrations in large space reflectors," AIAA J. 27, 219-226 (1987).
9. G. J. Kissel, "Localization in Disordered Periodic Structures," Ph.D. thesis, Massachusetts Institute of Technology, 1988.
10. C. H. Hodges and J. Woodhouse, "Vibration isolation from irregularity in a nearly periodic structure: theory and measurements," J. Acoust. Soc. Am. 74, 894-905 (1983).
11. S. He and J. D. Maynard, "Detailed Measurements of Inelastic Scattering in Anderson Localization," Phys. Rev. Lett. 57, 3171-3174 (1986).
12. G. Rajagopal, "Mode Localization in Almost Periodic Structures: Theory and Experiments for the Case of Masses on a String," in Proceedings of the Second International Offshore and Polar Engineering Conference, San Francisco, California, 14-19 June 1992 (International Society of Offshore and Polar Engineers), Vol. II, pp. 426-433.
13. S. S. Sergev and W. D. Iwan, "The Natural Frequencies and Mode Shapes of Cables with Attached Masses," ASME J. Energy Resources Technol. 103, 237-242 (1981).
14. E. H. Dowell, "Free vibrations of an arbitrary structure in terms of component modes," ASME J. Appl. Phys. 4, 1145-1161 (1972).
15. C. Pierre, "Mode Localization and Eigenvalue Loci Veering Phenomena in Disordered Structures," J. Sound Vib. 126, 485-502 (1988).
16. D. C. Herbert and R. R. Jones, "Localized States in Disordered Systems," J. Phys. C: Solid State Phys. 4, 1145-1161 (1971).
17. G. S. Ottarsson and C. Pierre, "A Transfer Matrix Approach to Vibration Localization in Mistuned Blade Assemblies," in Proceedings of the International Gas Turbine and Aeroengine Congress, number 93-GT-115, Cincinnati, Ohio, 1993.