Primary resonance of piezoelectric resonators

Author

Li, X.H. ; Jiang, W.H. ; Shui, A.

Author_Institution

Inst. of Acoust., Nanjing Univ., China

Volume

2

fYear

1996

fDate

3-6 Nov 1996

Firstpage

905

Abstract

It is found that the nonlinear behavior of piezoelectric resonators is more complicated than that predicted by previous theories. Actually the resonators work as parametrically excited vibration systems. Mode-coupled equations are obtained by means of the boundary integration. The method of multiple scales is used to solve the equations. Finally the ordinary differential equations that govern the evolution of the amplitude and phase of the fundamental and the harmonics, respectively, are derived. The nonlinear behavior of the resonator in the vicinity of primary resonance is thoroughly studied. Experiments are conducted for thickness-vibration LiNbO₃ resonators. For comparison, the behavior at the parametrically resonant regime is also discussed

Keywords

boundary integral equations; crystal resonators; harmonics; lithium compounds; LiNbO₃; boundary integration; harmonics; mode-coupled equations; ordinary differential equations; parametrically excited vibration systems; parametrically resonant regime; piezoelectric resonators; primary resonance; thickness-vibration resonators; Bifurcation; Boundary conditions; Chaos; Frequency conversion; Frequency dependence; Laboratories; Modems; Nonlinear acoustics; Nonlinear equations; Resonance;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultrasonics Symposium, 1996. Proceedings., 1996 IEEE

Conference_Location

San Antonio, TX

ISSN

1051-0117

Print_ISBN

0-7803-3615-1

Type

conf

DOI

10.1109/ULTSYM.1996.584139

Filename

584139