Abstract
Piezoelectric ceramics are of importance to the field of aerospace, electric and electronic. However, crack often happens on the surface of piezoelectric ceramics due to harsh working environment. The purpose of this article is to study the impacts of crack on the electro-mechanical response of a piezoelectric beam. Firstly, a finite element model of the piezoelectric cantilever beam was set up by using the software of ABAQUS. And subsequently, the mechanic and electric induced response of the cantilever beam was discussed. Thereafter, a cracked piezoelectric cantilever beam was developed. The effects of crack on the electro-mechanical response of a cantilever beam were studied. Results indicate that the electro-mechanical response is proportional to the input force and the input voltage. As crack propagates, the variation rule of the electro-mechanical response depends on the crack size. This conclusion is helpful to the prediction of crack size, and to provide a new idea for the prediction of the piezoelectrical structure life.
This project is supported by National Natural Science Foundation of China (Grant No. 51565039), the Jiangxi Provincial Nautral Science Foundation (Grant No. 20181BAB206023).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zhao, C.S.: Ultrasonic Motors Technologies and Applications, pp. 128–129. Science Press, Beijing (2007). (in Chinese)
Fan, K.Q., Chao, F.B., Zhang, J.G., et al.: Design and experimental verification of a bi-directional nonlinear piezoelectric energy harvester. Energy Convers. Manag. 86(10), 561–567 (2014)
Fan, K.Q., Chang, J.W., Pedrycz, W., et al.: A nonlinear piezoelectric energy harvest for various mechanical motions. Appl. Phys. Lett. 106(22), 223902 (2015)
Chen, R.W., Ren, L., Xia, H.K., et al.: Energy harvesting performance of a dandelion-like multi-directional piezoelectric vibration energy harvest. Sens. Actuators: Phys. 230, 1–8 (2015)
Su, W.J., Zu, J.: An innovative tri-directional broadband piezoelectric energy harvester. Appl. Phys. Lett. 103(20), 203901–203901-4 (2013)
Su, W.J., Zu, J.W.: Design and development of a novel bi-directional piezoelectric energy harvester. Smart Mater. Struct. 23(9), 095012 (2014)
Kurosawa, M., Kodaira, O., Tsuchitoi, Y., et al.: Transducer for high speed and large thrust ultrasonic linear motor using two sandwich-type vibrators. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 45(5), 1188–1195 (1998)
Tan, K., Liang, W.Y., Huang, S.N., et al.: Precision control of piezoelectric ultrasonic motor for myringotomy with tube insertion. J. Dyn. Syst. Meas. Control 137(6), 064504-2–064504-4 (2015)
Ghenna, S., Amberg, M., Giraud-Audine, C., et al.: Modelling and control of a travelling wave in a finite beam, using multi-modal approach and vector control method. In: Joint Conference of the IEEE International Frequency Control Symposium and the European Frequency and Time Forum, villeneuve-d’ascq, franch (2015)
Tavallaei, M., Atashzar, S., Drangova, M.: Robust motion control of ultrasonic motors under temperature disturbance. IEEE Trans. Ind. Electron. 63(4), 2360–2368 (2016)
Kuhne, M., Rochin, R., Santiesteban, R., et al.: Modeling and two-input sliding mode control of rotary traveling wave ultrasonic motors. IEEE Trans. Ind. Electron. 65(9), 7149–7159 (2018)
Jamia, N., El-Borgi, S., Rekik, M., et al.: Investigation of the behavior of a mixed-mode crack in a functionally graded magneto-electro-elastic material by use of the non-local theory. Theor. Appl. Fract. Mech. 74, 126–142 (2014)
Herrmann, K., Loboda, V., Khodanen, T.: An interface crack with contact zones in a piezoelectric/piezomagnetic bimaterial. Arch. Appl. Mech. 80(6), 651–670 (2010)
Li, Y.D., Xiong, T., Cai, Q.G.: Coupled interfacial imperfections and their effects on the fracture behavior of a layered multiferroic cylinder. Acta Mech. 226(4), 1183–1199 (2015)
Kida, K., Saito, M., Kitamura, K.: Flaking failure originating from a single surface crack in silicon nitride under rolling contact fatigue. Fatigue Fract. Eng. Mater. Struct. 28(12), 1087–1097 (2005)
Ueda, S., Hatano, H.: T-shaped crack in a piezoelectric material thermo-electro-mechanical loadings. J. Therm. Stress. 35(1–3), 12–29 (2012)
Kwon, J., Lee, K., Kwon, S.: Moving crack in a piezoelectric ceramic strip under anti-plane shear loading. Mech. Res. Commun. 27(3), 327–332 (2000)
Hou, M.S., Qian, X.Q., Bian, W.F.: Energy release rate and bifurcation angers of piezoelectric materials with antiplane moving crack. Int. J. Fract. 107(14), 297–306 (2001)
Jangid, K., Bhargava, R.: Complex variable-based analysis for two semi-permeable collinear cracks in a piezoelectro-magnetic media. Mech. Adv. Mater. Struct. 24(12), 1007–1016 (2017)
Wan, Y.P., Yue, Y.P., Zhong, Z.: A mode III crack crossing the magnetoelectroelastic bimaterial interface under concentrated magnetoelectromechanical loads. Int. J. Solids Struct. 49(21), 3008–3021 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Liu, C., Liu, W., Wang, Y. (2020). Electro-Mechanical Response of a Cracked Piezoelectric Cantilever Beam. In: Tan, J. (eds) Advances in Mechanical Design. ICMD 2019. Mechanisms and Machine Science, vol 77. Springer, Singapore. https://doi.org/10.1007/978-981-32-9941-2_34
Download citation
DOI: https://doi.org/10.1007/978-981-32-9941-2_34
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9940-5
Online ISBN: 978-981-32-9941-2
eBook Packages: EngineeringEngineering (R0)