Title :
The primary resonance of laminated piezoelectric rectangular plates
Author :
Zhao, Shuai ; Shi, Zhifei ; Xiang, Hongjun
Author_Institution :
Sch. of Civil Eng., Beijing Jiaotong Univ., Beijing, China
fDate :
11/1/2009 12:00:00 AM
Abstract :
Based on Hamilton´s principle and the Rayleigh- Ritz method, a model of a nonlinear dynamic laminated piezoelectric rectangular plate was established, and the governing equations were derived and solved for both the thin-plate and thick-plate models. In the present investigation, the nonlinear constitutive relations of piezoelectric materials were considered and the effects of the nonlinearity on the response of the plate were discovered. The primary resonance of rectangular plate is investigated with the use of the method of multiple scales. The results obtained in the present paper agree very well with the experiment results.
Keywords :
Rayleigh-Ritz methods; laminates; nonlinear dynamical systems; piezoelectric materials; plates (structures); Hamilton´s principle; Rayleigh-Ritz method; laminated piezoelectric rectangular plates; nonlinear dynamic equations; piezoelectric materials; thick-plate models; thin-plate models; Capacitive sensors; Civil engineering; Equations; Kinetic energy; Partial response channels; Piezoelectric materials; Potential energy; Resonance; Stress; Voltage; Acoustics; Computer-Aided Design; Electric Impedance; Equipment Design; Equipment Failure Analysis; Micro-Electrical-Mechanical Systems; Reproducibility of Results; Sensitivity and Specificity; Transducers; Vibration;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2009.1339
