Abstract
In this chapter we study vibrations of finite piezoelectric bodies. In some cases, for example, thickness vibrations of unbounded plates, although the in-plane dimensions of the plates are infinite, what matters is the finite plate thickness. Sects. 5.2 and 5.7 are on antiplane problems of polarized ceramics for which the notation in Sect. 2.9 is followed. The solutions in Sects. 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, and 5.7 are exact. Those in Sects. 5.8, 5.9, and 5.10 are approximate.
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References
H.F. Tiersten, Thickness vibrations of piezoelectric plates. J. Acoust. Soc. Am. 35, 53–58 (1963)
H.F. Tiersten, Linear Piezoelectric Plate Vibrations (Plenum, New York, 1969)
A.H. Meitzler, H.F. Tiersten, A.W. Warner, D. Berlincourt, G.A. Couqin, F.S. Welsh III, IEEE Standard on Piezoelectricity (IEEE, New York, 1988)
B. Liu, Q. Jiang, J.S. Yang, Fluid-induced frequency shift in a piezoelectric plate driven by lateral electric fields. Int. J. Appl. Electromagn. Mech. 34, 171–180 (2010)
G. Sauerbrey, Verwendung von schwingquarzen zur wägung dünner schichten und zur mikrowägung. Z. Phys. 155, 206–222 (1959)
N.T. Adelman, Y. Stavsky, Radial vibrations of axially polarized piezoelectric ceramic cylinders. J. Acoust. Soc. Am. 57, 356–360 (1975)
J.S. Yang, R.C. Batra, Free vibrations of a piezoelectric body. J. Elast. 34, 239–254 (1994)
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Yang, J. (2018). Vibrations of Finite Bodies. In: An Introduction to the Theory of Piezoelectricity. Advances in Mechanics and Mathematics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-03137-4_5
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DOI: https://doi.org/10.1007/978-3-030-03137-4_5
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