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http://dx.doi.org/10.12989/sss.2011.8.4.413

Exact solutions of the piezoelectric transducer under multi loads  

Zhang, Taotao (School of Transportation Science and Engineering, Beihang University)
Shi, Zhifei (School of Civil Engineering, Beijing Jiaotong University)
Publication Information
Smart Structures and Systems / v.8, no.4, 2011 , pp. 413-431 More about this Journal
Abstract
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.
Keywords
piezoelectric material; transducer; cylinder; multi-layer; shearing stress; radial stress;
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1 Liu, Y.T. and Higuchi, T. (2001), "Precision positioning device utilizing impact force of combined piezopneumatic actuator", IEEE-ASME T. Mech., 6(4), 467-473.   DOI   ScienceOn
2 Loewy, R.G. (1997), "Recent developments in smart structures with aeronautical applications", Smart Mater. Struct., 6(5), R11-R42.   DOI   ScienceOn
3 Mitchell, J.A. and Reddy, J.N. (1995), "A study of embedded piezoelectric layers in composite cylinders", J. Appl. Mech.-T. ASME., 62(1) 166-173.
4 Muralt, P., Dohl, D.W. and Denk, W. (1986), "Wide-range, low-operating-voltage, bimorph stm: Application as potentiometer", IBM J. Res. Dev., 30(5), 443-450.   DOI
5 Olesiak, Z.S. and Pyryev, Y.A. (1995), "A coupled quasi-stationary problem of thermodiffusion for an elastic cylinder", Int. J. Eng. Sci., 33(6), 773-780.   DOI   ScienceOn
6 Rao, S.S. and Sunar, M. (1994), "Piezoelectricity and its use in disturbance sensing and control of flexible structures: A survey", Appl. Mech. Rev. 47(4), 113-123.   DOI
7 Sedighi, M.R. and Shakeri, M. (2009), "A three-dimensional elasticity solution of functionally graded piezoelectric cylindrical panels", Smart Mater. Struct., 18.
8 Sharma, J.N., Pal, M. and Chand, D. (2004), "Three-dimensional vibration analysis of a piezothermoelastic cylindrical panel", Int. J. Eng. Sci., 42(15-16), 1655-1673.   DOI   ScienceOn
9 Shi, Z.F. (2005), "Bending behavior of piezoelectric curved actuator", Smart Mater. Struct., 14(4), 835-842.   DOI   ScienceOn
10 Shi, Z.F., Xiang, H.J. and Spencer, B.F. (2006), "Exact analysis of multi-layer piezoelectric/composite cantilevers", Smart Mater. Struct., 15(5) 1447-1458.   DOI   ScienceOn
11 Ting, T.C.T. (1999), "New solutions to pressuring, shearing, torsion and extension of a circular tube or bar", Proc. R. Soc. Lond. A., 455(1989), 3527-3542.   DOI   ScienceOn
12 Wang, Z.G., Abel, E.W., Millsb, R.P. and Liucm Y. (2002), "Assessment of multi-layer piezoelectric actuator technology for middleear implants", Mechatronics, 12(1), 3-17.   DOI   ScienceOn
13 Xiang, H.J., Shi, Z.F. and Zhang, T.T. (2006), "Elastic analyses of heterogeneous hollow cylinders", Mech. Res. Commun., 33(5), 681-691.   DOI   ScienceOn
14 Yoon, H.S. and Washington, G. (1998), "Piezoceramic actuated aperture antennae", Smart Mater. Struct., 7(4), 537- 542.   DOI   ScienceOn
15 Zhang, T.T. and Shi, Z.F. (2006), "Two-dimensional exact analysis for piezoelectric curved actuators", J. Micromech. Microeng., 16(3) 640-647.   DOI   ScienceOn
16 Zhang, T.T. and Shi, Z.F. (2007), "Bending behavior of 2-2 multi-layered piezoelectric curved actuators", Smart Mater. Struct., 16(3), 634-641.   DOI   ScienceOn
17 Zhou, S.W., Liang, C. and Rogers, C.A. (1994), "Modeling of distributed piezoelectric actuators integrated with thin cylindrical-shells", J. Acoust. Soc. Am., 96(3), 1605-1612.   DOI   ScienceOn
18 Bboudi, J. (1991), Mechanics of Composite Materials: a United Micromechanical Approach, Amsterdam: Elsevier.
19 Aldraihem, O.J. and Khdeir, A.A. (2006), "Analytical solutions of antisymmetric angle-ply laminated plates with thickness-shear piezoelectric actuators", Smart Mater. Struct., 15(2), 232-242.   DOI   ScienceOn
20 Almajid, A., Taya, M. and Hudnut, S. (2001), "Analysis of out-of-plane displacement and stress field in a piezocomposite plate with functionally graded microstructure", Int. J. Solids Struct., 38(19), 3377-3391.   DOI   ScienceOn
21 Chen, T.Y., Chung, C.T. and Lin, W.L. (2000), "A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion, extension, and a uniform change", Int. J. Solids Struct., 37(37), 5143-5159.   DOI   ScienceOn
22 Chen, Y. and Shi, Z.F. (2005), "Exact solutions of functionally gradient piezothermoelastic cantilevers and parameter identification", J. Intell. Mater. Syst. Struct., 16(6), 531-539.   DOI   ScienceOn
23 Ding, H.J., Wang, H.M. and Chen, W.Q. (2003), "Analytical solution for the electroelastic dynamics of a nonhomogeneous spherically isotropic piezoelectric hollow sphere", Arch. Appl. Mech., 73(1-2), 49-62.   DOI   ScienceOn
24 Hagood, N.W. and Von, F.A. (1991), "Damping of structural vibrations with piezoelectric materials and passive electrical networks", J. Sound Vib., 146(2), 243-268.   DOI   ScienceOn
25 Han, R. and Shi, Z.F. (2008), "Exact analysis of two kinds of piezoelectric actuators", Smart Mater. Struct., 17, 015018.   DOI   ScienceOn
26 Hauke, T., Kouvatova, A., Steinhausena, R., Seiferta, W., Beigea, H., Theoa,H., Langhammera and Abichtb, H.P. (2000), "Bending behavior of functionally gradient materials", Ferroelectrics, 238(1), 195-202.   DOI
27 Hou, P.F., Wang, H.M. and Ding, H.J. (2003), "Analytical solution for the axisymmetric plane strain electroelastic dynamics of a special non-homogeneous piezoelectric hollow cylinder", Int. J. Eng. Sci., 41(16), 1849-1868.   DOI   ScienceOn
28 Lee, S., Cho, B.C., Park, H.C., Yoon, K.J. and Goo, N.S. (2002), "Analysis of multi-layered actuators using an assumed strain solid element", Mater. Chem. Phys., 75(1-3), 174-177.   DOI
29 Liu, Y.T. and Jiang, C.C. (2007), "Pneumatic actuating device with nanopositioning ability utilizing PZT impact force coupled with differential pressure", Precis. Eng., 37(3), 293-303.