Numerical Algorithms and Results for SC-Cut Quartz Plates Vibrating at the Third Harmonic Overtone of Thickness Shear

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 41, Issue 5, 1994, Pages 685-693

  Yong, Y K ^a   Zhang, Zhen ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DATA STORAGE EQUIPMENT; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC FIELD EFFECTS; ELECTRODES; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; PIEZOELECTRICITY; PLATES (STRUCTURAL COMPONENTS); VIBRATIONS (MECHANICAL);

PIEZOELECTRIC RESONANT FREQUENCY; PLATE THEORY; QUARTZ RESONATORS; THICKNESS SHEAR; THIRD HARMONIC OVERTONE;

CRYSTAL RESONATORS;

EID: 0028500025     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.308504     Document Type: Article

References (5)

1. P. C. Y. Lee, S. Syngellakis, and J. P. Hou, “A two-dimensional theory for high-frequency vibrations of piezoelectric crystal plate with or without electrodes,” J. Appl. Phys, vol. 61, no. 4, p. 15, 1987.
2. Y.-K. Yong and Z. Zhang, “A perturbation method for finite element modeling of piezoelectric vibrations in quartz plate resonators,” IEEE Trans. Ultrason., Ferroelec., Freq. Contr., vol. 40, no. 5, pp. 551–562. Sept. 1993.
3. D. S. Scott, “Analysis of the symmetric lanczos process,” Tech. Rep. ERL-M78/40, Electron. Res. Lab., Univ. of Calif., Berkeley, 1978.
4. R. Guyan, “Reduction of stiffness and mass matrices,” AIAA J., vo1. 3, no. 2, p.380, Feb. 1965.
5. B. M. Irons. “Structural eigenvalue problem: Elimination of unwanted variables”, AIAA J., vol. 3, no. 5, pp. 961–962, May 1965.