Exact solutions of the piezoelectric transducer under multi loads

Under the external shearing stress, the external radial stress and the electric potential simultaneously, the piezoelectric hollow cylinder transducer is studied. With the Airy stress function method, the analytical solutions of this transducer are obtained based on the theory of piezo-elasticity. The solutions are compared with the finite element results of Ansys and a good agreement is found. Inherent properties of this piezoelectric cylinder transducer are presented and discussed. It is very helpful for the design of the bearing controllers.

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

[2]  Tungyang Chen,et al.  A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion, extension and a uniform temperature change , 2000 .

[3]  Osama J. Aldraihem,et al.  Analytical solutions of antisymmetric angle-ply laminated plates with thickness?shear piezoelectric actuators , 2006 .

[4]  Y. Liu,et al.  Assessment of multi-layer piezoelectric actuator technology for middle-ear implants , 2002 .

[5]  T. Higuchi,et al.  Precision positioning device utilizing impact force of combined piezo-pneumatic actuator , 2001 .

[6]  T. C. T. Tings.  New solutions to pressuring, shearing, torsion and extension of a cylindrically anisotropic elastic circular tube or bar , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[7]  Hoon Cheol Park,et al.  Analysis of multi-layered actuators using an assumed strain solid element , 2002 .

[8]  Hwan-Sik Yoon,et al.  Piezoceramic actuated aperture antennae , 1998 .

[9]  Z. Shi,et al.  Elastic analyses of heterogeneous hollow cylinders , 2006 .

[10]  H. Ding,et al.  Analytical solution for the axisymmetric plane strain electroelastic dynamics of a special non-homogeneous piezoelectric hollow cylinder , 2003 .

[11]  Nesbitt W. Hagood,et al.  Damping of structural vibrations with piezoelectric materials and passive electrical networks , 1991 .

[12]  Horst Beige,et al.  Bending behavior of Functionally Gradient Materials , 2000 .

[13]  Robert G. Loewy,et al.  REVIEW ARTICLE: Recent developments in smart structures with aeronautical applications , 1997 .

[14]  Z. Olesiak,et al.  A coupled quasi-stationary problem of thermodiffusion for an elastic cylinder , 1995 .

[15]  Craig A. Rogers,et al.  Modeling of distributed piezoelectric actuators integrated with thin cylindrical shells , 1994 .

[16]  Zhifei Shi,et al.  Two-dimensional exact analysis for piezoelectric curved actuators , 2006 .

[17]  Shi Zhi-fei,et al.  Exact Solutions of Functionally Gradient Piezothermoelastic Cantilevers and Parameter Identification , 2005 .

[18]  J. N. Sharma,et al.  Three-dimensional vibration analysis of a piezothermoelastic cylindrical panel , 2004 .

[19]  P Muralt,et al.  Wide-range, low-operating-voltage, bimorph STM: Application as potentiometer , 1986, IBM J. Res. Dev..

[20]  Billie F. Spencer,et al.  Exact analysis of multi-layer piezoelectric/composite cantilevers , 2006 .

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

[22]  H. M. Wang,et al.  Analytical solution for the electroelastic dynamics of a nonhomogeneous spherically isotropic piezoelectric hollow sphere , 2003 .

[23]  Singiresu S. Rao,et al.  Piezoelectricity and Its Use in Disturbance Sensing and Control of Flexible Structures: A Survey , 1994 .

[24]  Steven W. Hudnut,et al.  Analysis of out-of-plane displacement and stress field in a piezocomposite plate with functionally graded microstructure , 2001 .

[25]  Z. Shi,et al.  Bending behavior of piezoelectric curved actuator , 2005 .