Theory of piezoelectric axisymmetric bimorph

被引:69
作者
Dobrucki, AB
Pruchnicki, P
机构
[1] Inst. of Telecom. and Acoustics, Tech. University of Wrocław, 50-370 Wrocław
关键词
piezoelectric bimorphs; shell of revolution; finite-element method;
D O I
10.1016/S0924-4247(97)01401-5
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A theory of a piezoelectric axisymmetric bimorph is presented in this paper. Bimorphs are often used as electroacoustic transducers, but their use is much wider. A piezoelectic bimorph consists of two or more layers which are placed asymmetrically to the middle surface of the structure. When voltage is supplied to the bimorph, a bending moment is produced which causes transversal deflections of the structure. Average elastic parameters are calculated. Equations for the calculation of bending moments and stretching forces produced by voltage are derived. When the bimorph is a shell of revolution with any shape of meridian, the derived equations can be solved by numerical methods. The finite-element method (FEM) is applied to solve this problem. The bimorph can also be used as a sensor. A theory of such a sensor is also presented. The results obtained by means of the described theory and numerical methods have been verified experimentally or by comparing them with results obtained analytically for a simple structure. It has been proved theoretically that the electric signal produced by a circular transducer clamped on the outer rim of a piezoelectric disc is equal to zero.
引用
收藏
页码:203 / 212
页数:10
相关论文
共 18 条
[11]   The use of Rochelle salt crystals for electrical reproducers and microphones [J].
Sawyer, CB .
PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1931, 19 (11) :2020-2029
[12]  
SCHLAGEL A, 1957, BRUEL KJAER TECHNICA, V4
[13]   THE CONSTITUENT EQUATIONS OF PIEZOELECTRIC BIMORPHS [J].
SMITS, JG ;
DALKE, SI ;
COONEY, TK .
SENSORS AND ACTUATORS A-PHYSICAL, 1991, 28 (01) :41-61
[14]   ELECTRONICALLY CONTROLLED PIEZOELECTRIC INSULIN PUMP AND VALVES [J].
SPENCER, WJ ;
CORBETT, WT ;
DOMINGUEZ, LR ;
SHAFER, BD .
IEEE TRANSACTIONS ON SONICS AND ULTRASONICS, 1978, 25 (03) :153-156
[15]  
THIRUPATHI SR, 1993, P SOC PHOTO-OPT INS, V1916, P424, DOI 10.1117/12.148500
[16]  
Yanagisawa T., 1993, Transactions of the Institute of Electronics, Information and Communication Engineers A, VJ76-A, P1261
[17]   A COUPLED FIELD BEAM THEORY FOR PIEZOELECTRIC BIOMORPHS [J].
YOUN, SK ;
BECKER, EB .
FERROELECTRICS, 1991, 119 (1-4) :41-52
[18]  
ZAGORSKI ZE, 1991, SHELLS REVOLUTION