Natural frequencies of laminated piezoelectric plates with internal electrodes Academic Article

abstract

• AbstractNatural vibrations of laminated piezoelectric plates with internal electrodes are analyzed using the transfer matrix method and the asymptotic expansion method. The steadystate equations of threedimensional linear piezoelectricity reduce to a hierarchy of twodimensional equations of the same homogeneous operator. The leadingorder equations are easily solvable, whereas the higherorder equations may contain secular terms and are not straightforward to find their solutions. The solvability condition is established to calculate higherorder frequency parameters. The present theoretical formulation is used to provide new results by calculating fundamental frequencies of a rectangular laminated plate with two surfaceaffixed piezoelectric actuators, a parallel bimorph, a fourlayered multimorph and a functionally graded plate attached with an actuator.

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

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

URL

• http://dx.doi.org/10.1002/zamm.200310254