Natural frequencies of laminated piezoelectric plates with internal electrodes Academic Article

abstract

• 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.

authors

• Reddy, Junuthula

published proceedings

• ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

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

publisher

• Wiley  Publisher

published in

• Journal of Applied Mathematics and Mechanics (ZAMM)  Journal

keywords

• Asymptotic Method
• Internal Electrode
• Laminated Plate
• Piezoelectricity
• Vibration

Digital Object Identifier (DOI)

• 10.1002/zamm.200310254

start page

• 410

end page

• 420

volume

• 86

issue

• 5