This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
I. Yu. Solodov and B.A. Korshak, Instability, chaos and “memory” in acoustic-wave-crack interaction, Phys. Rev. Lett. 88, 014303-1-014303-3 (2002).
A. Moussatov, V. Gusev, and B. Castagnéde, Self induced hysteresis for nonlinear acoustic waves in cracked material, Phys. Rev. Lett. 90, 124301-1-124301-4 (2003).
I. Solodov, J. Wackerl, K. Pfleiderer, and G. Busse, Nonlinear self-modulation and subharmonic acoustic spettroscopy for damage detection and location, Appl. Phys. Lett. 84, 5386-5388 (2004).
I. Yu. Solodov, Ultrasonics of nonlinear interfaces in solids: new physical aspects and NDE applications, Proc. of World Congress on Ultrasonics, Paris, 2003, Vol. I, pp. 555-564.
N. Krohn, R. Stoessel, and G. Busse, Acoustic non linearity for defect selective imaging, Ultrasonics, 40, 633-637 (2002).
N.A. Burnham, A.J. Kulik, G. Gremaud, and G.A.D. Briggs, Nanosubharmonics: The dynamics of small nonlinear contacts, Phys. Rev. Lett. 74, 5092-5095 (1995).
K. Iganaki, O. Matsuda, and O.B. Wright, Hysteresis of the cantilever shift in ultrasonic force mi-croscopy, Appl. Phys. Lett. 80, 2386-2388 (2002).
V. Gusev, B. Castagnde, and A. Moussatov, Hysteresys in response of nonlinear bistable interface to countinously varying acoustic loading, Ultrasonics, 41, 643-654 (2003).
A.H. Nayfeh and B. Balachandran, Modal interaction in dynamical and structural systems, ASME Appl. Mech. Rev., 42, 175-202 (1989).
A.H. Nayfeh, S.A. Nayfeh, T.A. Anderson and B. Balachandran, Transfer of energy from high frequency to low-frequency modes, in Nonlinearity and Chaos in Engineering Dynamics, Edited by J. M. Thompson and S. R. Bishop, Wiley, New York, pp. 39-58 (1994).
A. Alippi, M. Albino, M. Angelici, A. Bettucci, and M Germano, Space distribution of harmonic mode vibration amplitudes in nonlinear finite piezoelectric transducer, Ultrasonics, 43, 1-3 (2004).
A. Alippi, G. Shkerdin, A. Bettucci, F. Craciun, E. Molinari, and A. Petri, Low-threshold sub harmonic generation in composites structures with Cantor-like code, Phys. Rev. Lett., 69, 3318-3321 (1992).
C. Hayashi, Nonlinear Oscillations in Physical Systems, Princeton University Press, Princeton, NJ, pp. 86-97 (1985).
A. Alippi, M. Angelici, A. Bettucci, and M. Germano, Surface mapping of nonresonant harmonic and subharmonic generated modes in finite piezoelectric structures, Proc. of 16 th International Symphosium on Nonlinear Acoustics, Moscow, 2002, Vol. II, pp. 759-762.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, Inc.
About this chapter
Cite this chapter
Alippi, A., Bettucci, A., Germano, M., Passeri, D. (2006). Generation Threshold of Subharmonic Modes in Piezoelectric Resonator. In: Delsanto, P.P. (eds) Universality of Nonclassical Nonlinearity. Springer, New York, NY. https://doi.org/10.1007/978-0-387-35851-2_30
Download citation
DOI: https://doi.org/10.1007/978-0-387-35851-2_30
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-33860-6
Online ISBN: 978-0-387-35851-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)