Precise, Long-Time Displacement Self-Sensing of Piezoelectric Cantilever Actuators Based on Charge Measurement Using the Sawyer–Tower Circuit
Qiang-zhong Wang1 , Gang Wang1 , Fa-xin Li1,2**
1 LTCS and College of Engineering, Peking University, Beijing 1008712 Center for Applied Physics and Technology, Peking University, Beijing 100871
Abstract :Previous studies show that near linearity exists between displacement and charge of piezoelectric actuators, while studies under higher fields are lacking and long-time displacement self-sensing is still a challenge. Here we indicate that precise, long-time displacement self-sensing can be accomplished using the Sawyer–Tower circuit, where a high-impedance electrometer and a non-leaky capacitor are used to measure the charge. Calibrating the results on a piezoelectric unimorph cantilever shows that the displacement resolution of charge self-sensing is $\sim$3 nm, much better than that of $\sim$40 nm for the calibrating laser sensor. Testing results under a unipolar field up to 2 kV/mm with different periods indicate that a direct proportional relationship holds between charge and displacement with the maximum error of 4.65%. The self-sensing time can be over 20 min or even longer if a higher-impedance electrometer is used.
收稿日期: 2018-06-20
出版日期: 2018-09-15
:
77.22.Ej
(Polarization and depolarization)
77.65.-j
(Piezoelectricity and electromechanical effects)
77.80.Dj
(Domain structure; hysteresis)
77.80.Fm
(Switching phenomena)
77.84.-s
(Dielectric, piezoelectric, ferroelectric, and antiferroelectric materials)
[1] Uchino K 1996 Piezoelectric Actuators and Ultrasonic Motors (New York: Kluwer Academic Publisher) vol 1 [2] Jaffe B, Cook W and Jaffe H 1971 Piezoelectric Ceramics (New York: Academic) [3] Newcomb C and Flinn I 1982 Electron. Lett. 18 442 [4] Furutani K, Urushibata M and Mohri N 1998 Nanotechnology 9 93 [5] Fleming A J and Moheimani S O R 2005 Rev. Sci. Instrum. 76 073707 [6] Fu J, Zhou X L and Li F X 2014 Sens. Actuators A 216 249 [7] Qiu J H, Chen Z H, Wang X Q and Ding J N 2016 Chin. Phys. B 25 057701 [8] Dosch J J, Inman D J and Garcia E 1992 J. Intell. Mater. Syst. Struct. 3 166 [9] Croft D, Shed G and Devasia S 2001 ASME J. Dynamic Syst. Meas. Control 123 35 [10] Yi K A and Veillette R J 2005 IEEE Trans. Control Syst. Technol. 13 517 [11] Ivan I A, Rakotondrabe M, Lutz P and Chaillet N 2009 Rev. Sci. Instrum. 80 065102 [12] Rakotondrabe M, Ivan I A, Khadraoui S, Lutz P and Chaillet N 2015 IEEE/ASME Trans. Mechatronics 20 519 [13] Sawyer C B and Tower C 1930 Phys. Rev. 35 269
[1]
. [J]. 中国物理快报, 2021, 38(1): 17701-.
[2]
. [J]. 中国物理快报, 2015, 32(11): 114203-114203.
[3]
. [J]. 中国物理快报, 2014, 31(12): 127702-127702.
[4]
. [J]. 中国物理快报, 2014, 31(07): 77701-077701.
[5]
. [J]. 中国物理快报, 2014, 31(07): 77703-077703.
[6]
. [J]. 中国物理快报, 2013, 30(10): 107701-107701.
[7]
. [J]. Chin. Phys. Lett., 2013, 30(1): 16202-016202.
[8]
HU Liang, WANG Hai-Peng, LI Liu-Hui, WEI Bing-Bo. Electrostatic Levitation of Plant Seeds and Flower Buds [J]. 中国物理快报, 2012, 29(6): 64101-064101.
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