Electric field-induced nonlinear behavior of lead zirconate titanate piezoceramic actuators in bending mode

References

• X. Song, S. Tan, E. Wang, S. Wu, and Z. Wu, Active shape control of an antenna reflector using piezoelectric actuators, J. Intell. Mater. Syst. Struct., vol. 30, no. 18–19, pp. 2733–2747, 2019. DOI: 10.1177/1045389X19873422.
   Web of Science ®Google Scholar
• Y. Ichii, H. Okada, H. Nakamori, A. Ueda, H. Yamaguchi, S. Matsuyama, and K. Yamauchi, Development of a glue-free bimorph mirror for use in vacuum chambers, Rev. Sci. Instrum., vol. 90, no. 2, pp. 1–5, 2019.
   Web of Science ®Google Scholar
• J.P. Sutter, P. Chater, D.S. Keeble, M. Hillman, M.G. Tucker, S.G. Alcock, I.T. Nistea, and H. Wilhelm, 1 m long multilayer-coated deformable piezoelectric bimorph mirror for adjustable focusing of high-energy X-rays, Opt. Express., vol. 27, no. 11, pp. 16121–16142, 2019. DOI: 10.1364/OE.27.016121.
   PubMed Web of Science ®Google Scholar
• E.F. Crawley, and E.H. Anderson, Detailed models of piezoceramic actuation of beams, J. Intell. Mater. Syst. Struct., vol. 1, no. 1, pp. 4–25, 1990. DOI: 10.1177/1045389X9000100102.
   Google Scholar
• D.A. Saravanos, and P.R. Heyliger, Coupled layerwise analysis of composite beams with embedded piezoelectric sensors and actuators, J. Intell. Mater. Syst. Struct., vol. 6, no. 3, pp. 350–363, 1995. DOI: 10.1177/1045389X9500600306.
   Web of Science ®Google Scholar
• Q.M. Wang, and L.E. Cross, Performance analysis of piezoelectric cantilever bending actuators, Ferroelectrics, vol. 215, no. 1, pp. 187–213, 1998. DOI: 10.1080/00150199808229562.
   Web of Science ®Google Scholar
• R. Chandra, and I. Chopra, Structural modeling of composite beams with induced-strain actuators, AIAA J., vol. 31, no. 9, pp. 1692–1701, 1993. DOI: 10.2514/3.11832.
   Google Scholar
• Sumit, R.Shukla, and A.K. Sinha, Shape control of piezoelectric bimorph by piezo response function and global optimization algorithms: a comparative study, Smart Mater. Struct., vol. 29, no. 11, pp. 115032, 2020. DOI: 10.1088/1361-665X/abb06f.
   Web of Science ®Google Scholar
• B.N. Agrawal, and M.A. Elshafei, Shape control of composite material plates using piezoelectric actuators, Smart Mater. Struct. Integr. Syst., 1997. vol. 3241, pp. 300–311. DOI: 10.1117/12.293510.
   Google Scholar
• V.K. Gupta, P. Seshu, and K.K. Issac, Finite element and experimental investigation of piezoelectric actuated smart shells, AIAA J., vol. 42, no. 10, pp. 2112–2123, 2004. DOI: 10.2514/1.2902.
   Google Scholar
• Sumit, R.Shukla, and A.K. Sinha, Finite element method coupled with TLBO for shape control optimization of piezoelectric bimorph in COMSOL Multiphysics, Simulation, vol. 97, no. 9, pp. 635–644, 2021. DOI: 10.1177/00375497211025640.
   Google Scholar
• ANSI/IEEE, IEEE Standard on Piezoelectricity, ANSI/IEEE Std. pp. 176–1987, 1988. DOI: 10.1109/IEEESTD.1988.79638
   Google Scholar
• Q.M. Wang, Q. Zhang, B. Xu, R. Liu, and L.E. Cross, Nonlinear piezoelectric behavior of ceramic bending mode actuators under strong electric fields, J. Appl. Phys., vol. 86, no. 6, pp. 3352–3360, 1999. DOI: 10.1063/1.371213.
   Web of Science ®Google Scholar
• V.D. Kugel, and L.E. Cross, Behavior of soft piezoelectric ceramics under high sinusoidal electric fields, J. Appl. Phys., vol. 84, no. 5, pp. 2815–2830, 1998. DOI: 10.1063/1.368422.
   Web of Science ®Google Scholar
• A.J. Masys, W. Ren, G. Yang, and B.K. Mukherjee, Piezoelectric strain in lead zirconate titante ceramics as a function of electric field, frequency, and dc bias, J. Appl. Phys., vol. 94, no. 2, pp. 1155–1162, 2003. DOI: 10.1063/1.1587008.
   Web of Science ®Google Scholar
• V. Mueller, E. Fuchs, and H. Beige, Characterization of nonlinear properties of soft PZT-piezoceramics, Ferroelectrics, vol. 240, no. 1, pp. 1333–1340, 2000. DOI: 10.1080/00150190008227954.
   Web of Science ®Google Scholar
• Q.M. Zhang, H. Wang, and J. Zhao, Effect of driving field and temperature on the response behavior of ferroelectric actuator and sensor materials, J. Intell. Mater. Syst. Struct., vol. 6, no. 1, pp. 84–93, 1995. DOI: 10.1177/1045389X9500600111.
   Web of Science ®Google Scholar
• S. Priya, D. Viehland, A.V. Carazo, J. Ryu, and K. Uchino, High-power resonant measurements of piezoelectric materials: importance of elastic nonlinearities, J. Appl. Phys., vol. 90, no. 3, pp. 1469–1479, 2001. DOI: 10.1063/1.1381046.
   Web of Science ®Google Scholar
• B.P. Bruno, A.R. Fahmy, M. Stürmer, U. Wallrabe, and M.C. Wapler, Properties of piezoceramic materials in high electric field actuator applications, Smart Mater. Struct., vol. 28, no. 1, pp. 015029, 2019. DOI: 10.1088/1361-665X/aae8fb.
   Web of Science ®Google Scholar
• Q.M. Wang, T. Zhang, Q. Chen, and X.H. Du, Effect of DC bias field on the complex materials coefficients of piezoelectric resonators, Sens. Actuat. A Phys., vol. 109, no. 1–2, pp. 149–155, 2003. DOI: 10.1016/j.sna.2003.08.008.
   Web of Science ®Google Scholar
• M. Wischke, D. Haller, F. Goldschmidtboeing, and P. Woias, Assessing the elastostriction and the electrostriction parameter of bulk PZT ceramics, Smart Mater. Struct., vol. 19, no. 8, pp. 085003, 2010. DOI: 10.1088/0964-1726/19/8/085003.
   Google Scholar
• M. Wischke, N. Dieterich, D. Haller, M. Kroener, and P. Woias, Elastostriction and electrostriction in piezoelectric transducers comprising bulk PZT ceramics, ECS Trans., vol. 35, no. 30, pp. 139–144, 2011. DOI: 10.1149/1.3653932.
   Google Scholar
• H.F. Tiersten, Electroelastic equations for electroded thin plates subject to large driving voltages, J. Appl. Phys., vol. 74, no. 5, pp. 3389–3393, 1993. DOI: 10.1063/1.354565.
   Web of Science ®Google Scholar
• N. Chattaraj, and R. Ganguli, Effect of self-induced electric displacement field on the response of a piezo-bimorph actuator at high electric field, Int. J. Mech. Sci., vol. 120, pp. 341–348, 2017. DOI: 10.1016/j.ijmecsci.2016.11.012.
   Web of Science ®Google Scholar
• N. Chattaraj, and R. Ganguli, Electromechanical analysis of tapered piezoelectric bimorph at high electric field, Behav. Mech. Multifunct. Mater. Compos. 2015. vol. 9432, p. 94320E.
   Google Scholar
• N. Chattaraj, and R. Ganguli, Electromechanical analysis of piezoelectric bimorph actuator in static state considering the nonlinearity at high electric field, Mech. Adv. Mater. Struct., vol. 23, no. 7, pp. 802–810, 2016. DOI: 10.1080/15376494.2015.1029168.
   Web of Science ®Google Scholar
• S.P. Joshi, Non-linear constitutive relations for piezoceramic materials, Smart Mater. Struct., vol. 1, no. 1, pp. 80–83, 1992. DOI: 10.1088/0964-1726/1/1/012.
   Google Scholar
• M. Arafa, and A. Baz, On the nonlinear behavior of piezoelectric actuators, JVC/J. Vib. Control., vol. 10, no. 3, pp. 387–398, 2004. DOI: 10.1177/1077546304033365.
   Web of Science ®Google Scholar
• L.Q. Yao, J.G. Zhang, L. Lu, and M.O. Lai, Nonlinear static characteristics of piezoelectric bending actuators under strong applied electric field, Sens. Actuat. A Phys., vol. 115, no. 1, pp. 168–175, 2004. DOI: 10.1016/j.sna.2004.04.037.
   Web of Science ®Google Scholar
• E. Carrera, F.A. Fazzolari, and M. Cinefra, Fundamental of mechanics of beams, plates and shells. Thermal Stress Analysis of Beams, Plates and Shells, pp. 91–116. Academic Press, Cambridge, MA, 2017.
   Google Scholar
• B.N. Agrawal, and K.E. Treanor, Shape control of a beam using piezoelectric actuators, Smart Mater. Struct., vol. 8, no. 6, pp. 729–740, 1999. DOI: 10.1088/0964-1726/8/6/303.
   Google Scholar
• S. Yang, and B. Ngoi, Shape control of beams by piezoelectric actuators, AIAA J., vol. 38, no. 12, pp. 2292–2298, 2000. DOI: 10.2514/2.898.
   Google Scholar
• Available from https://www.americanpiezo.com/apc-materials/physical-piezoelectric-properties.html. [accessed 2022 January 02].
   Google Scholar
• Available from https://www.mgchemicals.com/products/adhesives/electrically-conductive-adhesives/silver-conductive-epoxy/. [accessed 2021 July 22].
   Google Scholar
• Available from https://www.micro-epsilon.in/displacement-position-sensors/confocal-sensor/. [accessed 2021 July 22].
   Google Scholar