Energy sinks: Vibration absorption by an optimal set of undamped oscillators

Journal of the Acoustical Society of America

Volumn 118, Issue 5, 2005, Pages 3031-3042

  Koç, I Murat ^a   Carcaterra, Antonio ^b   Xu, Zhaoshun ^a   Akay, Adnan ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DAMPING; LATTICE VIBRATIONS; OPTIMIZATION; SOFTWARE PROTOTYPING; VIBRATION MEASUREMENT;

ENERGY SINKS; FREQUENCY DISTRIBUTION; UNDAMPED OSCILLATORS; VIBRATION ABSORPTION;

OSCILLATORS (ELECTRONIC);

ACOUSTICS; ARTICLE; ENERGY; MASS; MATHEMATICAL ANALYSIS; MATHEMATICAL PARAMETERS; OSCILLATOR; PRIORITY JOURNAL; VIBRATION;

EID: 27744530055     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2074807     Document Type: Article

References (24)

1. A. Carcaterra and A. Akay, "Transient energy exchange between a primary structure and a set of oscillators: Return time and apparent damping, " J. Acoust. Soc. Am. 115, 683-696 (2004).
2. C. E. Celik and A. Akay, "Dissipation in solids: Thermal oscillations of atoms," J. Acoust. Soc. Am. 108, 184-191 (2000).
3. A. F. Vakakis, "Inducing passive nonlinear energy sinks in vibrating systems," J. Vibr. Acoust. 123, 324-332 (2001).
4. O. Gendelman, L. I. Manevitch, A. F. Vakakis, and R. M'Closkey, "Energy pumping in nonlinear mechanical oscillators. I. Dynamics of the underlying Hamiltonian systems," J. Appl. Mech. 68, 34-41 (2001).
5. A. F. Vakakis and O. Gendelman, "Energy pumping in nonlinear mechanical oscillators. II. Resonance capture," J. Appl. Mech. 68, 42-48 (2001).
6. J. Aubrecht, A. F. Vakakis, T.-C. Tsao, and J. Bentsman, "Experimental study of nonlinear transient motion confinement in a system of coupled beams," J. Sound Vib. 195, 629-648 (1996).
7. A. F. Vakakis, "Passive spatial confinmement of impulsive responses in coupled nonlinear beams," AIAA J. 32, 1902-1909 (1994).
8. L. Zuo and S. A. Nayfeh, "Optimization of the individual stiffness and damping parameters in multiple-tuned-mass-damper systems," ASME J. Vibr. Acoust. 127, 77-83 (2005).
9. L. Zuo and S. A. Nayfeh, "Minimax optimization of multiple-degree-of-freedom tuned-mass dampers," J. Sound Vib. 272, 893-908 (2004).
10. K. Xu and T. Igusa, "Dynamic characteristics of multiple substructures with closely spaced frequencies," Earthquake Eng. Struct. Dyn. 21, 1059-1070 (1992).
11. C. Soize, "A model and numerical method in the medium frequency range for vibroacoustic predictions using the theory of structural fuzzy," J. Acoust. Soc. Am. 94, 849-865 (1993).
12. A. D. Pierce, V. W. Sparrow, and D. A. Russell, "Fundamental structural-acoustic idealizations for structures with fuzzy internals," J. Vibr. Acoust. 117, 339-348 (1995).
13. M. Strasberg and D. Feit, "Vibration damping of large structures induced by attached small resonant structures," J. Acoust. Soc. Am. 99, 335-344 (1996).
14. M. Strasberg, "Continuous structure as 'fuzzy' substructures," J. Acoust. Soc. Am. 100, 3456-3459 (1996).
15. R. J. Nagem, I. Veljkovic, and G. Sandri, "Vibration damping by a continuous distribution of undamped oscillators," J. Sound Vib. 207, 429-434 (1997).
16. R. L. Weaver, "The effect of an undamped finite degree of freedom 'fuzzy' substructure: Numerical solutions and theoretical discussion," J. Acoust. Soc. Am. 100, 3159-3164 (1996).
17. R. L. Weaver, "Mean and mean-square response of a prototypical master/ fuzzy structure," J. Acoust. Soc. Am. 101, 1441-1449 (1997).
18. R. L. Weaver, "Multiple-scattering theory for mean responses in a plate with sprung masses," J. Acoust. Soc. Am. 101, 3466-3474 (1997).
19. R. L. Weaver, "Mean-square responses in a plate with sprung masses, energy flow and diffusion," J. Acoust. Soc. Am. 103, 414-427 (1998)
20. R. L. Weaver, "Equipartition and mean-square response in large undamped structures," J. Acoust. Soc. Am. 110, 894-903 (2001).
21. G. Maidanik and K. J. Becker, "Noise control of a master harmonic oscillator coupled to a set of satellite harmonic oscillators," J. Acoust. Soc. Am. 104, 2628-2637 (1998).
22. G. Maidanik and K. J. Becker, "Characterization of multiple-sprung masses for wideband noise control," J. Acoust. Soc. Am. 106, 3109-3118 (1999).
23. G. Maidanik and K. J. Becker, "Criteria for designing multiple-sprung masses for wideband noise control," J. Acoust. Soc. Am. 106, 3119-3127 (1999).
24. G. Maidanik, "Induced damping by a nearly continuous distribution of nearly undamped oscillators: Linear analysis," J. Sound Vib. 240, 717-731 (2001).