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Original Articles

The acceleration effect on the vibration frequency of thickness-shear mode of an infinite isotropic plate

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Pages 2484-2488 | Received 14 Dec 2020, Accepted 15 Dec 2020, Published online: 19 Jan 2021

References

  • J.S. Yang, The Mechanics of Piezoelectric Structures, World Scientific, Singapore, 2006.
  • R.X. Wu, J. Wang, J.K. Du, D.J. Huang, and Y.T. Hu, The nonlinear thickness-shear vibrations of quartz crystal plates under a strong electric field, Int. J. Nonlin. Mech., vol. 61, pp. 32–38, 2014. DOI: https://doi.org/10.1016/j.ijnonlinmec.2014.01.010.
  • J.S. Yang, Analysis of Piezoelectric Devices, World Scientific, Singapore, 2006.
  • R. Wu, et al., Free and forced vibrations of SC-cut quartz crystal rectangular plates with the first-order Mindlin plate equations, Ultrasonics, vol. 73, pp. 96–106, 2017. DOI: https://doi.org/10.1016/j.ultras.2016.09.002.
  • R.X. Wu, W.J. Wang, G.J. Chen, J.K. Du, T.F. Ma, and J. Wang, Forced vibrations of SC-cut quartz crystal rectangular plates with partial electrodes by the Lee plate equations, Ultrasonics, vol. 65, pp. 338–344, 2016. DOI: https://doi.org/10.1016/j.ultras.2015.09.008.
  • M. Patel and Y.-K. Yong, Application of a DC bias to reduce acceleration sensitivity in quartz resonators, Proceeding of the 2004 IEEE Ultrasonics Symposium, Montreal, Canada, 23–27 Aug., pp. 270–273.
  • R.L. Filler, The acceleration sensitivity of quartz crystal oscillators: a review, IEEE Trans. Ultrason. Ferroelectr. Freq. Control., vol. 35, no. 3, pp. 297–305, 1988. DOI: https://doi.org/10.1109/58.20450.
  • W. Wang, Y.Q. Huang, X.L. Liu, and Y. Liang, Surface acoustic wave acceleration sensor with high sensitivity incorporating ST-X quartz cantilever beam, Smart Mater. Struct., vol. 24, no. 1, pp. 015015, 2015. DOI: https://doi.org/10.1088/0964-1726/24/1/015015.
  • J.S. Yang and S.H. Guo, An estimate on the second-order normal acceleration sensitivity of a quartz resonator, IEEE Trans. Ultras. Ferroelectr. Freq. Control., vol. 53, no. 9, pp. 1562–1563, 2006.
  • R.X. Wu, J. Wang, J.K. Du, Y.T. Hu, and H.P. Hu, Solutions of nonlinear thickness-shear vibrations of an infinite isotropic plate with the homotopy analysis method, Numer. Algor., vol. 59, no. 2, pp. 213–226, 2012. DOI: https://doi.org/10.1007/s11075-011-9485-2.
  • H.F. Tiersten, Linear Piezoelectric Plate Vibrations, Plenum, New York, 1969.
  • H.F. Tiersten, Analysis of nonlinear resonance in thickness-shear and trapped-energy resonators, J. Acoust. Soc. Am., vol. 59, no. 4, pp. 866–878, 1976. DOI: https://doi.org/10.1121/1.380946.
  • H.F. Tiersten, Analysis of intermodulation in thickness-shear and trapped energy resonators, J. Acoust. Soc. Am., vol. 57, no. 3, pp. 667–681, 1975. DOI: https://doi.org/10.1121/1.380491.
  • P.C.Y. Lee and K.M. Wu, Effects of acceleration on the resonance frequencies of crystal plates, Proceedings of the 1976 Frequency Control Symposium, Atlantic City, USA, 2–4, Jun., pp. 1–7.
  • J. Kosinski, R.A. Pastore, and J.S. Yang, Implications of in-plane stretch and thickness compression coupled to flexure on the lower bound of BAW acceleration sensitivity, Proceeding of the 2000 Frequency Control Symposium, Kansas City, USA, 7–9, Jun., pp. 345–347.
  • A. Abd-Alla, and G.A. Maugin, Nonlinear phenomena in magnetostrictive elastic resonators, Int. J. Eng. Sci., vol. 27, no. 12, pp. 1613–1619, 1989. DOI: https://doi.org/10.1016/0020-7225(89)90155-9.
  • R.X. Wu, J. Wang, J.K. Du, D.J. Huang, and Y.T. Hu, An analysis of nonlinear vibrations of coupled thickness-shear and flexural modes of quartz crystal plates with the homotopy analysis method, IEEE Trans. Ultras. Ferroelectr. Freq. Control., vol. 59, no. 1, pp. 30–39, 2012.
  • Z.T. Yang, Y.T. Hu, J. Wang, and J.S. Yang, Nonlinear coupling between thickness-shear and thickness-stretch modes in a rotated Y-cut quartz resonator, IEEE Trans. Ultras. Ferroelectr. Freq. Control., vol. 56, no. 1, pp. 220–224, 2009.
  • R.X. Wu, W.L. Zhang, T.F. Ma, J.K. Du, and J. Wang, Thickness-shear frequencies of an infinite quartz plate with graded material properties across the thickness, Acta Mech. Solid. Sin., vol. 33, no. 3, pp. 361–367, 2020. DOI: https://doi.org/10.1007/s10338-019-00157-9.
  • Y.Y. Chen, et al., An analysis of nonlinear thickness-shear vibrations of quartz crystal plates using the two-dimensional finite element method, Mech, Adv. Mater. Struct., vol. 25, no. 1, pp. 361–367, 2018.

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