Wave propagation in membrane-based nonlinear periodic structures

Proceedings of the ASME Design Engineering Technical Conference

Volumn 1, Issue PARTS A AND B, 2011, Pages 213-220

  Narisetti, Raj K ^a   Ruzzene, Massimo ^a   Leamy, Michael J ^b  

^a Georgia Institute of Technology   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE DEPENDENCY; BAND DIAGRAMS; DISPERSION BEHAVIOR; DISPERSION CORRECTION; DYNAMIC BEHAVIORS; FINITE-ELEMENT DISCRETIZATION; FIRST ORDER; FLEXIBLE SUPPORTS; GROUP VELOCITIES; HIGH FREQUENCY HF; MEMBRANE ELEMENTS; MICRO-MACHINED ULTRASONIC TRANSDUCER; NONLINEAR ELASTICS; NONLINEAR PERIODIC STRUCTURES; OPTICAL MODES; PERTURBATION ANALYSIS; PERTURBATION APPROACH; UNIT CELLS;

DESIGN; ULTRASONIC TRANSDUCERS;

PERIODIC STRUCTURES;

EID: 84863577323     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2011-48700     Document Type: Conference Paper

References (17)

1. L. Brillouin, Wave propagation in periodic structures, Dover, New York 1946.
2. J. O. Vasseur, et al., Experimental evidence for the existence of absolute acoustic band gaps in two-dimensional periodic composite media, Journal of Physics: Condensed Matter, 10(27), 6051, 1998.
3. C. Daraio, V. Nesterenko, E. Herbold, S. Jin, Tunability of solitary wave properties in one-dimensional strongly nonlinear phononic crystals, Physical Review E, 73(2), 026610, 2006.
4. S. Sen, J. Hong, J. Bang, E. Avalos, R. Doney, Solitary waves in the granular chain, Physics Reports, 462(2), 21-66, 2008.
5. A. F. Vakakis, M. E. King, A. J. Pearlstein, Forced Localization in a periodic chain of non-linear oscillators, International Journal of Non-Linear Mechanics, 29(3), 429-447, 1994.
6. A. F. vakakis, M. E. King, Nonlinear wave transmission in a monocoupled elastic periodic system, Journal of Acoustical Society of America, 98(3), 1534-1546, 1995.
7. A. F. Vakakis, Nonlinear normal modes (NNMs) and their applications in vibration theory: An overview, Mechanical Systems and Signal Processing, 11(1), 3-22, 1997.
8. A. F. Vakakis, M. E. King, Resonant oscillations of a weakly coupled, nonlinear layered system, Acta. Mech., 128(69-80, 1998.
9. Y. Starosvetsky, A. F. Vakakis, Traveling waves and localized modes in one-dimensional homogenous granular chains with no pre-compression, Physical Review E, Submitted), 2010.
10. I. O. Wygant, X. K. Zhuang, P.S., D. T. Yeh, O. Oralkan, B. T. Khuri-Yakub, Photoacoustic imaging using a two-dimensional CMUT array, Ultrasonic Symposium IEEE 4(1921-1924, 2005.
11. O. Oralkan, Capacitive Micromachined Ultrasonic Transducers: Next generation arrays for acoustic imaging?, IEEE T. Ultrason. Ferr., 49(11), 1596-1610, 2002.
12. Y. Huang, A. S. Ergun, E. Haeggstrom, B. T. Khuri-Yakub, Fabrication of Capacitive Micromachined Ultrasonic Transducers (CMUTs) using wafer bonding technology for low frequency (10 kHz-150 kHz) sonar applications, OCEANS '02 MTS/IEEE 4(2322-2327, 2002.
13. B. Bayram, M. Kupnik, G. Yaralioglu, O. Oralkan, D. Lin, X. Zhuang, A. Ergun, A. Sariogly, S. Wong, B. T. Khuri-yakub, Characterization of cross-coupling in capacitive micromachined ultrasonic transducers, Proc. IEEE Ultrasonics Symposium, 601-604, 2006.
14. B. Bayram, M. Kupnik, G. Yaralioglu, O. Oralkan, D. Lin, X. Zhuang, A. Ergun, A. Sariogly, S. Wong, B. T. Khuri-yakub, Finite element modeling and experimental characterization of crosstalk in 1-D CMUT arrays, IEEE Transactions of Ultrasonics, Ferroelect., Freq. Contr., 2006.
15. O. Ira, Wygant, M. Kupnik, Analytically calculating membrane displacement and the equivalent circuit model of a circular CMUT cell, IEEE Int. Ultrason. Sym. Proc., 2111-2114, 2008.
16. R. K. Narisetti, M. J. Leamy, M. Ruzzene, A perturbation approach for predicting wave propagation in one dimensional nonlinear periodic structures, Journal of Vibrations and Acoustics, 132(3), 1001-1012, 2010.
17. R. K. Narisetti, M. Ruzzene, M. J. Leamy, A Perturbation Approach for Analyzing Dispersion and Group Velocities in Two-Dimensional Nonlinear Lattices, Journal of Vibrations and Acoustics, 2011 (Accepted).