References
- Ballas, R.G., Schlaak, H.F. and Schmid, A.J. (2006), "The constituent equations of piezoelectric multilayer bending actuators in closed analytical form and experimental results", Sensor. Actuat. A-Phys., 130, 91-98.
- Brissaud, M. (2004), "Modelling of non-symmetric piezoelectric bimorphs", J. Micromech. Microeng., 14(11), 1507-1518. https://doi.org/10.1088/0960-1317/14/11/011
- Brissaud, M., Ledren, S. and Gonnard, P. (2003), "Modelling of a cantilever non-symmetric piezoelectric bimorph", J. Micromech. Microeng., 13(6), 832-844. https://doi.org/10.1088/0960-1317/13/6/306
- Cheng, J.Q., Wang, B. and Du, S.Y. (2005), "A theoretical analysis of piezoelectric/composite anisotropic laminate with larger-amplitude deflection effect, Part I: Fundamental equations", Int. J. Solids Struct., 42, 6166-6180. https://doi.org/10.1016/j.ijsolstr.2005.04.007
- Desmare, R. (1999), "Modeling of multilayer piezoelectric structures", Ferroelectrics, 224(1), 195-202. https://doi.org/10.1080/00150199908210567
- DeVoe, D.L. and Pisano, A.P. (1997), "Modeling and optimal design of piezoelectric cantilever microactuators", J. Microelectromech. S., 6(3), 266-270. https://doi.org/10.1109/84.623116
- Fernandes, A. and Pouget, J. (2002), "An accurate modelling of piezoelectric multi-layer plates", Eur. J. Mech. A-Solid., 21(4), 629-651. https://doi.org/10.1016/S0997-7538(02)01224-X
- Ha, S.K. and Kim, Y.H. (2002), "Analysis of a piezoelectric multimorph in extensional and flexural motions", J. Sound Vib., 253(5), 1001-1014. https://doi.org/10.1006/jsvi.2001.4040
- Heyliger, P. and Brooks, S. (1996), "Exact solution for laminated piezoelectric plates in cylindrical bending", J. Appl. Mech. ASME, 63, 903-910. https://doi.org/10.1115/1.2787245
- Huang, C., Lin, Y.Y. and Tang, T.A. (2004), "Study on the tip-deflection of a piezoelectric bimorph cantilever in the static state", J. Micromech. Microeng., 14, 530-534. https://doi.org/10.1088/0960-1317/14/4/013
- Lee, S.Y., Ko, B. and Yang, W. (2005), "Theoretical modeling, experiments and optimization of piezoelectric multimorph", Smart Mater. Struct., 14(6), 1343-1352. https://doi.org/10.1088/0964-1726/14/6/026
- Li, S.Q., Liu, Z.X., Zhang, J.G. and Sun, Y. (1999), "Three-dimensional and simplified analysis on static electromechanical mechanism of piezoelectric materials", J. Shanghai Jiaotong Univ., 33(6), 737-741.
- Lin, Q.R., Liu, Z.X. and Wang, Z.L. (2001), "Analysis of beams with piezoelectric actuators", Appl. Math. Mech., 22(9), 1074-1081.
- Liu, M., Tong, J., Wang, L. and Cui, T. (2006), "Theoretical analysis of the sensing and actuating effects of piezoelectric multimorph cantilevers", Microsyst. Technol., 12(4), 335-342. https://doi.org/10.1007/s00542-005-0062-2
- Marcus, M.A. (1984), "Performance characteristics of piezoelectric polymer flexure mode devices", Ferroelectrics, 57, 203-220. https://doi.org/10.1080/00150198408012763
- Pan, E. (2001), "Exact solution for simply supported and multilayered magneto-electro-elastic plates", J. Appl. Mech. ASME, 68, 608-618. https://doi.org/10.1115/1.1380385
- Pan, E. and Han, F. (2005), "Exact solution for functionally graded and layered magneto-electro-elastic plates", Int. J. Mech. Sci., 43, 321-339.
- Park, S.E. and Shrout, T.R. (1997), "Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals", J. Appl. Phys., 82, 1804-1811. https://doi.org/10.1063/1.365983
- 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. https://doi.org/10.1088/0964-1726/15/5/034
- Smits, J.G. and Ballato, A. (1994), "Dynamic admittance matrix of piezoelectric cantilever bimorphs", J. Microelectromech. S., 3(3), 105-112. https://doi.org/10.1109/84.311560
- Smits, J.G., Dalke, S.I. and Cooney, T.K. (1991), "The constituent equations of piezoelectric bimorphs", Sensor. Actuat. A-Phys., 28(1), 41-61. https://doi.org/10.1016/0924-4247(91)80007-C
- Tadmor, E.B. and Kosa, G. (2003), "Electromechanical coupling correction for piezoelectric layered beams", J. Microelectromech. S., 12(6), 899-906. https://doi.org/10.1109/JMEMS.2003.820286
- Wang, R.J., et al. (1983), Hand book for marine acoustic materials, Science Press, Beijing.
- Wang, F., Tang, G.J. and Li, D.K. (2007), "Accurate modeling of a piezoelectric composite beam", Smart Mater. Struct., 16, 1595-1602. https://doi.org/10.1088/0964-1726/16/5/013
- Weinberg, M.S. (1999), "Working equations for piezoelectric actuators and sensors", J. Microelectromech. S., 8(4), 529-533. https://doi.org/10.1109/84.809069
- Xiang, H.J. (2007), "Characters of functionally graded piezoelectric smart beams and their applications", Beijing Jiaotong University, PhD, Beijing.
- Xiang, H.J. and Shi, Z.F. (2008), "Static Analysis for Multi-layered Piezoelectric Cantilevers", Int. J. Solids Struct., 45(1), 113-128. https://doi.org/10.1016/j.ijsolstr.2007.07.022
- Yang, J. and Xiang, H.J. (2007), "Thermo-electro-mechanical characteristics of functionally graded piezoelectric actuators", Smart Mater. Struct., 16, 784-797. https://doi.org/10.1088/0964-1726/16/3/028
- Zhou, Y.G., Chen, Y.M. and Ding, H.J. (2005), "Analytical solutions to piezoelectric bimorphs based on improved FSDT beam model", Smart Struct. Syst., 1(3), 309-324. https://doi.org/10.12989/sss.2005.1.3.309
Cited by
- Analytical solution of piezoelectric composite stack transducers vol.24, pp.13, 2013, https://doi.org/10.1177/1045389X13479185
- Electromechanical analysis of piezoelectric beam-type transducers with interlayer slip vol.60, pp.8, 2013, https://doi.org/10.1109/TUFFC.2013.2757
- Theoretical analysis of a resistance adjusting type piezoelectric cylindrical transducer vol.28, pp.20, 2017, https://doi.org/10.1177/1045389X17704068
- Electromechanical analysis of 2-2 cement-based piezoelectric transducers in series electrically vol.14, pp.3, 2014, https://doi.org/10.12989/sss.2014.14.3.267
- Dynamic Analytical Solution of a Piezoelectric Stack Utilized in an Actuator and a Generator vol.8, pp.10, 2018, https://doi.org/10.3390/app8101779
- Effects of electrodes and electrical connections of piezoelectric layers on dynamic characteristics of radially polarized multilayer piezoelectric cylindrical transducers pp.1530-8138, 2019, https://doi.org/10.1177/1045389X18803454
- A new piezoelectric hollow cylindrical transducer with multiple concentric annular metal fillers vol.6, pp.5, 2019, https://doi.org/10.1088/2053-1591/ab0318
- Control of PKM machine tools using piezoelectric self-sensing actuators on basis of the functional principle of a scale with a vibrating string vol.6, pp.2, 2009, https://doi.org/10.12989/sss.2010.6.2.167
- Effects of electrodes and protective layers on the electromechanical characteristics of piezoelectric stack actuators vol.28, pp.None, 2009, https://doi.org/10.1177/0963693519877419
- Modeling and electromechanical performance analysis of frequency-variable piezoelectric stack transducers vol.31, pp.6, 2009, https://doi.org/10.1177/1045389x20905982