Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches

Owen G. Thorp; Massimo Ruzzene; Amr M. Baz

doi:10.1117/12.432706

2 July 2001 Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches

Owen G. Thorp, Massimo Ruzzene, Amr M. Baz

Proceedings Volume 4331, Smart Structures and Materials 2001: Damping and Isolation; (2001) https://doi.org/10.1117/12.432706
Event: SPIE's 8th Annual International Symposium on Smart Structures and Materials, 2001, Newport Beach, CA, United States

Abstract

Shunted piezoelectric patches are periodically placed along rods to control the longitudinal wave propagation in these rods. The resulting periodic structure is capable of filtering the propagation of waves over specified frequency bands called stop bands. The location and width of the stop bands can be tuned, using the shunting capabilities of the piezoelectric materials, in response to external excitations and to compensate for any structural uncertainty. A mathematical model is developed to predict the response of a rod with periodic shunted piezoelectric patches and to identify its stop band characteristics. The model accounts for the aperiodicity, introduced by proper tuning of the shunted electrical impedance distribution along the rod. Disorder in the periodicity typically extends the stop-bands into adjacent propagation zones and more importantly, produces the localization of the vibration energy near the excitation source. The conditions for achieving localized vibration are established and the localization factors are evaluated for different levels of disorder on the shunting parameters. The numerical predictions demonstrated the effectiveness and potentials of the proposed treatment that requires no control energy and combines the damping characteristics of shunted piezoelectric films, the attenuation potentials of periodic structures, and the localization capabilities of aperiodic structures. The theoretical investigations presented in this work provide the guidelines for designing tunable periodic structures with high control flexibility where propagating waves can be attenuated and localized.

Citation Download Citation

Owen G. Thorp, Massimo Ruzzene, and Amr M. Baz "Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches", Proc. SPIE 4331, Smart Structures and Materials 2001: Damping and Isolation, (2 July 2001); https://doi.org/10.1117/12.432706

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