Incorporation of viscoelastic loss into the plane wave expansion approach to modelling composite transducers

L. Orr, A.J. Mulholland, R.L. O'Leary, G. Hayward

Research output: Contribution to conferencePaper

Abstract

The plane wave expansion (PWE) method has been proposed as a theoretical model for periodic composite ultrasonic transducers. This paper extends previous work by importantly including viscoelastic loss in the material parameters. Some of the issues with model formulation, such as ill-conditioning in the large matrices, have been addressed through parameter scaling and Tikhonov regularisation. Identification of each mode of vibration has been carried out by visualising the spatial and temporal profiles of the displacement, electrical potential and Poynting vector. A comparison between the theoretical predictions and experimental data from a piezoelectric composite device is presented. The effect that the elastic properties of the passive phase have on device performance is also investigated. It is found that high shear attenuation in the passive phase gives rise to a large frequency stop band gap around the fundamental thickness mode.

Conference

Conference2000 IEEE International Ultrasonics Symposium
CountryPuerto Rico
CitySan Juan
Period22/10/0025/10/00

Fingerprint

transducers
plane waves
expansion
composite materials
conditioning
vibration mode
elastic properties
ultrasonics
attenuation
shear
formulations
scaling
matrices
profiles
predictions

Keywords

  • elasticity
  • photonic band gap
  • periodic structures
  • mathematical model
  • equations
  • electric potential

Cite this

Orr, L., Mulholland, A. J., O'Leary, R. L., & Hayward, G. (2006). Incorporation of viscoelastic loss into the plane wave expansion approach to modelling composite transducers. 472-475. Paper presented at 2000 IEEE International Ultrasonics Symposium, San Juan, Puerto Rico. https://doi.org/10.1109/ULTSYM.2006.126
Orr, L. ; Mulholland, A.J. ; O'Leary, R.L. ; Hayward, G. / Incorporation of viscoelastic loss into the plane wave expansion approach to modelling composite transducers. Paper presented at 2000 IEEE International Ultrasonics Symposium, San Juan, Puerto Rico.4 p.
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abstract = "The plane wave expansion (PWE) method has been proposed as a theoretical model for periodic composite ultrasonic transducers. This paper extends previous work by importantly including viscoelastic loss in the material parameters. Some of the issues with model formulation, such as ill-conditioning in the large matrices, have been addressed through parameter scaling and Tikhonov regularisation. Identification of each mode of vibration has been carried out by visualising the spatial and temporal profiles of the displacement, electrical potential and Poynting vector. A comparison between the theoretical predictions and experimental data from a piezoelectric composite device is presented. The effect that the elastic properties of the passive phase have on device performance is also investigated. It is found that high shear attenuation in the passive phase gives rise to a large frequency stop band gap around the fundamental thickness mode.",
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year = "2006",
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note = "2000 IEEE International Ultrasonics Symposium ; Conference date: 22-10-2000 Through 25-10-2000",

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Orr, L, Mulholland, AJ, O'Leary, RL & Hayward, G 2006, 'Incorporation of viscoelastic loss into the plane wave expansion approach to modelling composite transducers' Paper presented at 2000 IEEE International Ultrasonics Symposium, San Juan, Puerto Rico, 22/10/00 - 25/10/00, pp. 472-475. https://doi.org/10.1109/ULTSYM.2006.126

Incorporation of viscoelastic loss into the plane wave expansion approach to modelling composite transducers. / Orr, L.; Mulholland, A.J.; O'Leary, R.L.; Hayward, G.

2006. 472-475 Paper presented at 2000 IEEE International Ultrasonics Symposium, San Juan, Puerto Rico.

Research output: Contribution to conferencePaper

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