### Abstract

Language | English |
---|---|

Pages | 443-448 |

Number of pages | 5 |

Journal | IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control |

Volume | 53 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2006 |

### Fingerprint

### Keywords

- Fourier transforms
- Q-switching
- Rayleigh waves
- acoustic dispersion
- dielectric polarisation
- laser beam applications
- lasers
- surface acoustic waves

### Cite this

*IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control*,

*53*(2), 443-448. https://doi.org/10.1109/TUFFC.2006.1593383

}

*IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control*, vol. 53, no. 2, pp. 443-448. https://doi.org/10.1109/TUFFC.2006.1593383

**Determination of lamb wave dispersion data in lossy anisotropic plates using time domain finite element analysis - Part 1 - theory and experimental verification.** / Hayward, G.; Hyslop, J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Determination of lamb wave dispersion data in lossy anisotropic plates using time domain finite element analysis - Part 1 - theory and experimental verification

AU - Hayward, G.

AU - Hyslop, J.

PY - 2006/2

Y1 - 2006/2

N2 - A theoretical and experimental approach for extraction of guided wave dispersion data in plate structures is described. Finite element modeling is used to calculate the surface displacement data (in-plane and out-of-plane) when the plate is subject to either symmetrical or antisymmetrical impulsive force stimulation at one or both of the parallel faces. Fourier transformation of the resultant space-time displacement histories is then employed to obtain phase velocity as a function of frequency. Experimental verification in the case of antisymmetrical stimulation is provided by means of a high-power Q-switched laser source that is used to excite guided waves in the plate. The subsequent out-of-plane displacement data were then obtained by means of a scanning laser vibrometer, and good agreement between theory and experiment is demonstrated. Examples of dispersion data are provided for aluminum, and excellent correlation between the data sets and conventional Rayleigh-Lamb theory for plate structures was obtained. This was then extended to lossy polymeric plates, in addition to both unpolarized and polarized piezoelectric ceramic plates, again with good agreement between the finite element modeling and optical experiments. The last set of results prepares the way for a detailed investigation of the nonhomogeneous piezoelectric composite waveguides described in a companion paper (Part II).

AB - A theoretical and experimental approach for extraction of guided wave dispersion data in plate structures is described. Finite element modeling is used to calculate the surface displacement data (in-plane and out-of-plane) when the plate is subject to either symmetrical or antisymmetrical impulsive force stimulation at one or both of the parallel faces. Fourier transformation of the resultant space-time displacement histories is then employed to obtain phase velocity as a function of frequency. Experimental verification in the case of antisymmetrical stimulation is provided by means of a high-power Q-switched laser source that is used to excite guided waves in the plate. The subsequent out-of-plane displacement data were then obtained by means of a scanning laser vibrometer, and good agreement between theory and experiment is demonstrated. Examples of dispersion data are provided for aluminum, and excellent correlation between the data sets and conventional Rayleigh-Lamb theory for plate structures was obtained. This was then extended to lossy polymeric plates, in addition to both unpolarized and polarized piezoelectric ceramic plates, again with good agreement between the finite element modeling and optical experiments. The last set of results prepares the way for a detailed investigation of the nonhomogeneous piezoelectric composite waveguides described in a companion paper (Part II).

KW - Fourier transforms

KW - Q-switching

KW - Rayleigh waves

KW - acoustic dispersion

KW - dielectric polarisation

KW - laser beam applications

KW - lasers

KW - surface acoustic waves

UR - http://dx.doi.org/10.1109/TUFFC.2006.1593383

U2 - 10.1109/TUFFC.2006.1593383

DO - 10.1109/TUFFC.2006.1593383

M3 - Article

VL - 53

SP - 443

EP - 448

JO - IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control

T2 - IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control

JF - IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control

SN - 0885-3010

IS - 2

ER -