Title :
The effect of cubically varying contours on the thickness-shear and flexural vibrations of quartz plates
Author :
Wang, Ji ; Lee, P.C.Y.
Author_Institution :
Dept. of Civil Eng. & Oper. Res., Princeton Univ., NJ, USA
Abstract :
Thickness-shear and flexural vibrations of crystal plates are studied by Mindlin´s first-order equations and by assuming that the vibration is independent of x3 coordinate. Exact solutions in terms of infinite power series are obtained for the coupled thickness-shear and flexural vibration equations of quartz plates with cubically varying thickness in the x1 direction. The effect of contouring on the resonance frequencies and mode shapes are examined in detail and compared with those of the plates with linearly varying contours
Keywords :
piezoelectric materials; quartz; vibrations; Mindlin equation; SiO2; cubically varying contour; flexural vibration; mode shape; power series; quartz crystal plate; resonance frequency; thickness-shear vibration; Civil engineering; Equations; Internet; Laboratories; Operations research; Resonance; Resonant frequency; Shape; Stress; Strips;
Conference_Titel :
Ultrasonics Symposium, 1996. Proceedings., 1996 IEEE
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-3615-1
DOI :
10.1109/ULTSYM.1996.584154
