Electromagnetic radiation from doubly rotated piezoelectric crystal plates vibrating at thickness frequencies

P. C.Y. Lee; Y. G. Kim; J. H. Prevost

Electromagnetic radiation from doubly rotated piezoelectric crystal plates vibrating at thickness frequencies

P. C.Y. Lee, Y. G. Kim, J. H. Prevost

Civil & Environmental Engineering

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

The exact solution of the three-dimensional linear equations of piezoelectromagnetism is obtained for doubly rotated piezoelectric crystal plates surrounded by vacuum and excited by face traction. Radiated power and induced electric field in the middle plane of the plate are obtained for doubly rotated quartz plates for which the cut orientations follow the upper and lower loci of zeros of the first-order temperature coefficient of frequency of the x₁-thickness-shear mode. Variations of these quantities are computed for either constant magnitude of face traction for constant shearing strain component and at the mechanical resonance frequencies of the x₁-thickness-shear, x₃-thickness-shear, and thickness-stretch modes. Radiated power is also computed as a function of cut angle for rotated Y-cuts of quartz at x₁-thickness-shear frequency for S°₁₂ = 10^-5.

Original language	English (US)
Pages (from-to)	423-428
Number of pages	6
Journal	Ultrasonics Symposium Proceedings
Volume	1
State	Published - 1989
Event	IEEE 1989 Ultrasonics Symposium - Montreal, Que, Can Duration: Oct 3 1989 → Oct 6 1989

All Science Journal Classification (ASJC) codes

General Engineering

Cite this

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title = "Electromagnetic radiation from doubly rotated piezoelectric crystal plates vibrating at thickness frequencies",

abstract = "The exact solution of the three-dimensional linear equations of piezoelectromagnetism is obtained for doubly rotated piezoelectric crystal plates surrounded by vacuum and excited by face traction. Radiated power and induced electric field in the middle plane of the plate are obtained for doubly rotated quartz plates for which the cut orientations follow the upper and lower loci of zeros of the first-order temperature coefficient of frequency of the x1-thickness-shear mode. Variations of these quantities are computed for either constant magnitude of face traction for constant shearing strain component and at the mechanical resonance frequencies of the x1-thickness-shear, x3-thickness-shear, and thickness-stretch modes. Radiated power is also computed as a function of cut angle for rotated Y-cuts of quartz at x1-thickness-shear frequency for S°12 = 10-5.",

author = "Lee, {P. C.Y.} and Kim, {Y. G.} and Prevost, {J. H.}",

year = "1989",

language = "English (US)",

volume = "1",

pages = "423--428",

journal = "Ultrasonics Symposium Proceedings",

issn = "0090-5607",

note = "IEEE 1989 Ultrasonics Symposium ; Conference date: 03-10-1989 Through 06-10-1989",

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TY - JOUR

T1 - Electromagnetic radiation from doubly rotated piezoelectric crystal plates vibrating at thickness frequencies

AU - Lee, P. C.Y.

AU - Kim, Y. G.

AU - Prevost, J. H.

PY - 1989

Y1 - 1989

N2 - The exact solution of the three-dimensional linear equations of piezoelectromagnetism is obtained for doubly rotated piezoelectric crystal plates surrounded by vacuum and excited by face traction. Radiated power and induced electric field in the middle plane of the plate are obtained for doubly rotated quartz plates for which the cut orientations follow the upper and lower loci of zeros of the first-order temperature coefficient of frequency of the x1-thickness-shear mode. Variations of these quantities are computed for either constant magnitude of face traction for constant shearing strain component and at the mechanical resonance frequencies of the x1-thickness-shear, x3-thickness-shear, and thickness-stretch modes. Radiated power is also computed as a function of cut angle for rotated Y-cuts of quartz at x1-thickness-shear frequency for S°12 = 10-5.

AB - The exact solution of the three-dimensional linear equations of piezoelectromagnetism is obtained for doubly rotated piezoelectric crystal plates surrounded by vacuum and excited by face traction. Radiated power and induced electric field in the middle plane of the plate are obtained for doubly rotated quartz plates for which the cut orientations follow the upper and lower loci of zeros of the first-order temperature coefficient of frequency of the x1-thickness-shear mode. Variations of these quantities are computed for either constant magnitude of face traction for constant shearing strain component and at the mechanical resonance frequencies of the x1-thickness-shear, x3-thickness-shear, and thickness-stretch modes. Radiated power is also computed as a function of cut angle for rotated Y-cuts of quartz at x1-thickness-shear frequency for S°12 = 10-5.

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M3 - Conference article

AN - SCOPUS:0024871223

SN - 0090-5607

VL - 1

SP - 423

EP - 428

JO - Ultrasonics Symposium Proceedings

JF - Ultrasonics Symposium Proceedings

T2 - IEEE 1989 Ultrasonics Symposium

Y2 - 3 October 1989 through 6 October 1989

ER -

Electromagnetic radiation from doubly rotated piezoelectric crystal plates vibrating at thickness frequencies

Abstract

All Science Journal Classification (ASJC) codes

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