FORCED VIBRATIONS OF PIEZOELECTRIC CRYSTAL PLATES

Abstract

An extension is made of two-dimension l equations to include the piezoelectric relations and the electric field equations. The equations obtained are also extensions of previous equations in which the thickness-shear modes, the piezoelectric effect and the electric field equations were taken into account, but coupling with extensional modes was omitted. The ew equations are deduced from the t r e-dimensional, linear, piezoelectric equations by a procedure based on the series expansion methods of Cauchy and Poisson and the variational method of Kirchhoff. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0266812

Entities

People

  • H.f. Tiersten
  • R.d. Mindlin

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Couplings
  • Crystals
  • Differential Equations
  • Electric Fields
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Piezoelectric Crystals
  • Piezoelectric Effect
  • Piezoelectric Materials
  • Real Variables
  • Thickness
  • Variational Methods
  • Vibration

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.