Dynamic characteristics of an axially polarized multilayer piezoelectric/elastic composite cylindrical transducer

An analytical model of the dynamic characteristics of an axially polarized multilayer piezoelectric/elastic composite cylindrical transducer is proposed in this paper. Based on the plane stress assumption, the dynamic analytical solution of the transducer under an external harmonic voltage load is obtained, and the electric admittance is also derived analytically. Inherent properties of the transducer, such as resonance and anti-resonance frequencies, are presented and discussed. In addition, comparisons with other related investigations are also given, and good agreement is found. The present investigation is very helpful for the design of axially polarized multilayer piezoelectric/elastic composite cylindrical transducers, which can be used in applications related to ultrasonic and underwater sound waves.

[1]  Shuyu Lin,et al.  Electro-mechanical equivalent circuit for the radial vibration of the radially poled piezoelectric ceramic long tubes with arbitrary wall thickness , 2012 .

[2]  N. Adelman,et al.  Vibrations of radially polarized composite piezoceramic cylinders and disks , 1975 .

[3]  Zhifei Shi,et al.  Exact analysis of the dynamic properties of a 2–2 cement based piezoelectric transducer , 2011 .

[4]  D. D. Ebenezer,et al.  Piezoelectric thin shell theoretical model and eigenfunction analysis of radially polarized ceramic cylinders , 1998 .

[5]  B. Spencer,et al.  Vibration analysis of a functionally graded piezoelectric cylindrical actuator , 2008 .

[6]  Gangbing Song,et al.  Concrete structural health monitoring using piezoceramic-based wireless sensor networks , 2010 .

[7]  Chao-feng Lu,et al.  A circular cylindrical, radially polarized ceramic shell piezoelectric transformer , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[8]  Kenji Uchino Piezoelectric ultrasonic motors: overview , 1998 .

[9]  Shuyu Lin,et al.  The radial composite piezoelectric ceramic transducer , 2008 .

[10]  Zhifei Shi,et al.  Dynamic analysis of 2-2 cement–based piezoelectric transducers , 2013 .

[11]  Z. Shi,et al.  Bending behavior of 2–2 multi-layered piezoelectric curved actuators , 2007 .

[12]  Shi Zhifei,et al.  Analytical solutions of two kinds of piezoelectric actuators under shearing load , 2010 .

[13]  D. D. Ebenezer,et al.  EIGENFUNCTION ANALYSIS OF RADIALLY POLARIZED PIEZOELECTRIC CYLINDRICAL SHELLS OF FINITE LENGTH , 1997 .

[14]  J. G. Lee,et al.  Dynamic characteristics of piezoelectric cylindrical transducers with radial polarization , 2007 .

[15]  Shuyu Lin Radial vibration of the composite ultrasonic transducer of piezoelectric and metal rings , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[16]  Yong Wang,et al.  Radially sandwiched cylindrical piezoelectric transducer , 2012 .

[17]  J. L. Walsh,et al.  Vibrations of Ferroelectric Cylindrical Shells with Transverse Isotropy. I. Radially Polarized Case , 1957 .

[18]  Gangbing Song,et al.  Recent applications of fiber optic sensors to health monitoring in civil engineering , 2004 .

[19]  N. Adelman,et al.  AXISYMMETRIC VIBRATIONS OF RADIALLY POLARIZED PIEZOELECTRIC CERAMIC CYLINDERS , 1975 .

[20]  N. Zhang,et al.  A generalized hypergeometric function method for axisymmetric vibration analysis of a piezoelectric actuator , 2012 .

[21]  Ding,et al.  FREE VIBRATION OF PIEZOELECTRIC CYLINDRICAL SHELLS , 1997 .

[22]  Qingda Yang,et al.  Free vibrations of piezoelectric cylindrical shells filled with compressible fluid , 1997 .

[23]  Zhifei Shi,et al.  Analytical solution of piezoelectric composite stack transducers , 2013 .

[24]  Z. F. Shi,et al.  Steady-state responses of forced laminated piezoelectric composite beams , 2012 .

[25]  Jiashi Yang,et al.  Piezoelectric transformer structural modeling - a review , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[26]  H. Jeong,et al.  Radial vibration characteristics of piezoelectric cylindrical transducers , 2004 .

[27]  Xian‐Fang Li,et al.  Radially polarized functionally graded piezoelectric hollow cylinders as sensors and actuators , 2010 .

[28]  Gangbing Song,et al.  Concrete structural health monitoring using embedded piezoceramic transducers , 2007 .

[29]  Shi Zhi-fei,et al.  Exact analysis of two kinds of piezoelectric actuator , 2008 .

[30]  Henry A. Sodano,et al.  A review of power harvesting using piezoelectric materials (2003–2006) , 2007 .

[31]  G. E. Martin,et al.  Vibrations of Longitudinally Polarized Ferroelectric Cylindrical Tubes , 1963 .

[32]  Shuyu Lin,et al.  Study on the radial vibration of a piezoelectric ceramic thin ring with an inner metal disc , 2006 .

[33]  Z. Shi,et al.  Static analysis for multi-layered piezoelectric cantilevers , 2008 .