Restricted accessResearch articleFirst published online 2020-7
Nonlinear analysis of the hysteresis effects of a bimorph circular flexural-mode piezoelectric actuator for a deformable mirror of adaptive optics system
In this article, proposed is a hysteresis effects model of a bimorph circular flexural-mode piezoelectric actuator for a deformable mirror of adaptive optics system. The analytical solutions are derived from the three-dimensional equations of piezoelectricity, and the dependence of the nonlinear hysteresis performance of the actuator on the physical parameters is evaluated. Numerical results illustrate that the hysteresis loops of the strokes of the actuator are affected by the start values of the electric field and the thickness of the metallic layer. Besides, the results also suggest that an appropriate thickness of metallic layer could compensate some hysteresis effects. Moreover, the results of the analytical method have been demonstrated by those of the finite element method.
DalimierEDaintyC (2005) Comparative analysis of deformable mirrors for ocular adaptive optics. Optics Express13: 4275–4285.
2.
HomCL (1999) Simulating electrostrictive deformable mirrors: II. Nonlinear dynamic analysis. Smart Materials and Structures8: 700–708.
3.
HuangLTierstenH (1998a) An analytical description of slow hysteresis in polarized ferroelectric ceramic actuators. Journal of Intelligent Material Systems and Structures9: 417–426.
4.
HuangLTierstenH (1998b) Electroelastic equations describing slow hysteresis in polarized ferroelectric ceramic plates. Journal of Applied Physics83: 6126–6139.
5.
MaJTianLLiY, et al. (2018) Hysteresis compensation of piezoelectric deformable mirror based on Prandtl–Ishlinskii model. Optics Communications416: 94–99.
6.
MadecP-Y (2012) Overview of deformable mirror technologies for adaptive optics and astronomy. In: SPIE astronomical telescopes+ instrumentation, vol. 844705, Amsterdam, 13 September. Bellingham, WA: International Society for Optics and Photonics.
7.
SchmutzL (1993) Adaptive optics-a modern cure for newton tremors. Photonics Spectra27: 119
8.
ShawMHallSKnoxS, et al. (2010) Characterization of deformable mirrors for spherical aberration correction in optical sectioning microscopy. Optics Express18: 6900–6913.
WangH (2017) Research on a bimorph piezoelectric deformable mirror for adaptive optics in optical telescope. Optics Express25: 8115–8122.
12.
WangHHuL (2017) Linear and nonlinear analysis of the thermal effects of beam piezoelectric bending actuator on adaptive optics. Journal of Intelligent Material Systems and Structures28: 3016–3024.
13.
WangHYangS (2016) Modeling and analysis of the thermal effects of a circular bimorph piezoelectric actuator. Applied Optics55: 873–878.
14.
WangHChenZYangS, et al. (2018) Analysis of a discrete-layout bimorph disk elements piezoelectric deformable mirror. Journal of Astronomical Telescopes, Instruments, and Systems4: 029001.
15.
WangHHuYWangJ (2013) On the nonlinear behavior of a multilayer circular piezoelectric plate-like transformer operating near resonance. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control60: 752–757.
16.
WangHMingHUZhengqinLI (2016) Modelling and analysis of circular bimorph piezoelectric actuator for deformable mirror. Applied Mathematics and Mechanics37: 639–646.
17.
WangHXieXHuY, et al. (2014) Weakly nonlinear characteristics of a three-layer circular piezoelectric plate-like power harvester near resonance. Journal of Mechanics30: 97–102.
18.
WangHZhangMZuoY, et al. (2019) Research on elastic modes of circular deformable mirror for adaptive optics and active optics corrections. Optics Express27: 404–415.
19.
WangJWangHHuH, et al. (2012) On the strain-gradient effects in micro piezoelectric-bimorph circular plate power harvesters. Smart Materials and Structures21: 015006.
