Title :
On straight crested waves in a third overtone SC-cut quartz resonator
Author :
Yong, Y.-K. ; Zhang, Z.
Author_Institution :
Dept. of Civil & Environ. Eng., Rutgers Univ., Piscataway, NJ, USA
Abstract :
Finite element matrix equations employing high frequency, piezoelectric plate equations are derived. The equations may be used for modeling third harmonic overtone of thickness-shear vibrations. A perturbation technique is developed to account for piezoelectric stiffening in the mechanical stiffness matrix. Results from the perturbation method compare well with the direct solution of the piezoelectric finite element equations. The technique will result in significant savings in computer memory and computational time. Numerical results for straight crested waves in a third overtone SC-cut quartz strip, with and without electrodes are presented. Steady state response to an electrical excitation is calculated
Keywords :
crystal resonators; finite element analysis; perturbation techniques; piezoelectric oscillations; vibrations; SC-cut quartz resonator; SiO2; crystal resonator; electrical excitation; finite element matrix equations; high frequency; mechanical stiffness matrix; perturbation technique; piezoelectric plate equations; piezoelectric stiffening; piezoelectric vibrations; steady state response; straight crested waves; thickness-shear vibrations; third harmonic overtone; Capacitive sensors; Electric potential; Electrodes; Equations; Finite element methods; Frequency; Perturbation methods; Stress; Strips; Vibrations;
Conference_Titel :
Frequency Control Symposium, 1992. 46th., Proceedings of the 1992 IEEE
Conference_Location :
Hershey, PA
Print_ISBN :
0-7803-0476-4
DOI :
10.1109/FREQ.1992.269967
