Vibration delocalization of nearly periodic structures using coupled piezoelectric networks

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 125, Issue 1, 2003, Pages 95-108

  Tang, J ^a   Wang, K W ^b  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COUPLINGS; PERTURBATION TECHNIQUES; PIEZOELECTRIC DEVICES; STATISTICAL METHODS; STRESSES;

MECHANICAL COUPLING; PIEZOELECTRIC CIRCUITS;

VIBRATIONS (MECHANICAL);

EID: 0037233846     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.1521951     Document Type: Article

References (27)

1. Hodges, C. H., 1982, “Confinement of Vibration by Structural Irregularity,” J. Sound Vib., 82(3), pp. 411-424.
2. Mester, S. S., and Benaroya, H., 1995, “Periodic and Near-Periodic Structures,” Shock and Vibration, 2(1), pp. 69-95.
3. Pierre, C., Castanier, M. P., and Chen, W. J., 1996, “Wave Localization in Multi-coupled Periodic Structures: Application to Truss Beams,” Appl. Mech. Rev., 49(2), pp. 65-86.
4. Slater, J. C., Minkiewicz, G. R., and Blair, A. J., 1999, “Forced Response of Bladed Disk Assemblies-A Survey,” Shock Vib. Dig., 31(1), pp. 17-24.
5. Pierre, C., and Dowell, E. H., 1987, “Localization of Vibrations by Structural Irregularity,” J. Sound Vib., 114, pp. 549-564.
6. Cornwell, P. J., and Bendiksen, O. O., 1989, “Localization of Vibrations in Large Space Reflectors,” AIAA J., 27(2), pp. 219-226.
7. Pierre, C., and Cha, P. D., 1989, “Strong Mode Localization in Nearly Periodic Disordered Structures,” AIAA J., 27(2), pp. 227-241.
8. Wei, S.-T., and Pierre, C., 1988, “Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry Part I: Free Vibrations,” ASME J. Vibr. Acoust., 110, pp. 429-438.
9. Hodges, C. H., and Woodhouse, J., 1983, “Vibration Isolation from Irregularity in a Nearly Periodic Structure: Theory and Measurements,” J. Acoust. Soc. Am., 74(3), pp. 894-905.
10. Pierre, C., 1990, “Weak and Strong Vibration Localization in Disordered Structures,” J. Sound Vib., 126(3), pp. 485-502.
11. Cha, P. D., and Pierre, C., 1991, “Vibration Localization by Disorder in Assemblies of Monocoupled, Multimode Component Systems,” ASME J. Appl. Mech., 58(4), pp. 1072-1081.
12. Bouzit, D., and Pierre, C., 1992, “Vibration Confinement Phenomena in Disordered, Mono-coupled, Multi-span Beams,” ASME J. Vibr. Acoust., 114(4), pp. 521-530.
13. Hodges, C. H., and Woodhouse, J., 1989, “Confinement of Vibration by Onedimensional Disorder, I: Theory of Ensemble Averaging,” J. Sound Vib., 130(2), pp. 253-268.
14. Kissel, G. J., 1991, “Localization Factor for Multichannel Disordered Systems,” Phys. Rev. A, 44(2), pp. 1008-1014.
15. Wolf, A., Swift, J. B., Swinney, H. L., and Vastano, J. A., 1985, “Determining Lyapunov Exponents from a Time Series,” Physica D, 16, pp. 285-317.
16. Castanier, M. P., and Pierre, C., 1995, “Lyapunov Exponents and Localization Phenomena in Multi-coupled Nearly-periodic Systems,” J. Sound Vib., 183(3), pp. 493-515.
17. Xie, W.-C., and Ariaratnam, S. T., 1996a, “Vibration Mode Localization in Disordered Cyclic Structures, I: Single Substructure Mode,” J. Sound Vib., 189(5), pp. 625-645.
18. Xie, W.-C., and Ariaratnam, S. T., 1996b, “Vibration Mode Localization in Disordered Cyclic Structures, I: Multiple Substructure Mode,” J. Sound Vib., 189(5), pp. 647-660.
19. Castanier, M. P., and Pierre, C., 1997, “Consideration on the Benefits of Intentional Blade Mistuning for the Forced Response of Turbomachinery Rotors,” Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Analysis and Design Issues for Modern Aerospace Vehicles, AD55, pp. 419-425.
20. Agnes, G. S., 1999, “Piezoelectric Coupling of Bladed-disk Assemblies,” Proc. SPIE, 3672, pp. 94-103.
21. Cox, A. M., and Agnes, G. S., 1999, “A Statistical Analysis of Space Structure Mode Localization,” Proceedings of the 1999 AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, V4, pp. 3123-3133.
22. Standards Committee of the IEEE Ultrasonics, Ferroelectrics, and Frequency Control Society, 1987, An American National Standard: IEEE Standard on Piezoelectricity, The Institute of Electrical and Electronics Engineers, ANSI/IEEE Std 176-1987, New York.
23. Hagood, N. W., and von Flotow, A., 1991, “Damping of Structural Vibrations with Piezoelectric Materials and Passive Electrical Networks,” J. Sound Vib., 146(2), pp. 243-268.
24. Tsai, M. S., and Wang, K. W., 1999, “On the Structural Damping Characteristics of Active Piezoelectric Actuators with Passive Shunt,” J. Sound Vib., 221(1), pp. 1-22.
25. Tang, J., and Wang, K. W., 1999, “Vibration Control of Rotationally Periodic Structures Using Passive Piezoelectric Shunt Networks and Active Compensation,” ASME J. Vibr. Acoust., 121(3), pp. 379-390.
26. Mead, D. J., 1975, “Wave Propagation and Natural Modes in Periodic Systems: I. Mono-coupled Systems,” J. Sound Vib., 40(1), pp. 1-18.
27. Tang, J., and Wang, W. L., 1999, “On Calculation of Sensitivity for Non-Defective Eigenproblems with Repeated Roots,” J. Sound Vib., 225(4), pp. 611-631.