Natural frequencies of laminated piezoelectric plates with internal electrodes

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)410-420
Journal / PublicationZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Issue number5
Publication statusPublished - May 2006


Natural vibrations of laminated piezoelectric plates with internal electrodes are analyzed using the transfer matrix method and the asymptotic expansion method. The steady-state equations of three-dimensional linear piezoelectricity reduce to a hierarchy of two-dimensional equations of the same homogeneous operator. The leading-order equations are easily solvable, whereas the higher-order equations may contain secular terms and are not straightforward to find their solutions. The solvability condition is established to calculate higher-order frequency parameters. The present theoretical formulation is used to provide new results by calculating fundamental frequencies of a rectangular laminated plate with two surface-affixed piezoelectric actuators, a parallel bimorph, a four-layered multimorph and a functionally graded plate attached with an actuator. © 2006 WILEY-VCH Verlag GmbH & Co. KGaA.

Research Area(s)

  • Asymptotic method, Internal electrode, Laminated plate, Piezoelectricity, Vibration