Natural frequencies of laminated piezoelectric plates with internal electrodes Academic Article uri icon


  • 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.

published proceedings


author list (cited authors)

  • Lim, C. W., Cheng, Z., & Reddy, J. N.

citation count

  • 11

complete list of authors

  • Lim, CW||Cheng, Zhen-Qiang||Reddy, JN

publication date

  • May 2006