Vol.3, No 12, 2002 pp. 431-442
UDC 531:534.1:534.14
RESONANCE FREQUENCIES OF PZT PIEZOCERAMIC
DISKS: A NUMERICAL APPROACH
Dragan Mančić, Violeta Dimić, Milan Radmanović
University of Niš, Faculty of Electronic Engineering, Niš 18000, Yugoslavia
E-mail: dmancic@elfak.ni.ac.yu
In this paper the frequency spectra of axisymmetric extensional vibrations
in PZT piezoceramic disk plates having Poisson's ratio (sigma) of 0.294
have been investigated theoretically and experimentally. The theoretical
frequency spectra were calculated according to Hutchinson's theory of vibrations
for isotropic elastic disk (i.e. cylinder) with thickness to diameter ratio
(d/2a) from 0 to 3, without consideration the piezoelectric properties
of disks. Experimental spectra were observed for the disk with ratio d/2a
of 0.06 to 1.2. Experimental spectra are coincided with theoretical spectra
and all observed parts of spectra might be completely predicted on the
basis of the vibration theory of isotropic disk.
Key words: piezoceramic disk, model, resonance frequency.
REZONANTNE FREKVENCIJE PZT PIEZOKERAMIČKIH
DISKOVA: NUMERIČKI PRISTUP
U ovom radu teorijski i eksperimentalno je istraživan frekventni spektar
osnosimetričnih ekstenzionih vibracija u PZT piezokeramičkim diskovima
sa Poisson-ovim odnosom (sigma) 0.294. Teorijski frekventni spektar je
izračunat primenom Hutchinson-ove teorije oscilovanja za izotropan elastičan
disk (odnosno cilindar) sa odnosom debljine i prečnika (d/2a) od 0 do 3,
bez razmatranja piezoelektričnih svojstava diskova. Eksperimentalni spektar
je posmatran za diskove sa odnosom d/2a od 0.06 do 1.02. Eksperimentalni
spektar se dobro poklapa sa teorijskim spektrom i svi posmatrani delovi
spektra mogu biti kompletno predviđeni na osnovu teorije oscilacija izotropnog
diska..
