Three-Dimensional Elasticity Solution of Single Layer Piezoelectric Panel


1 Corresponding author, Dept. of Mech. Eng., Amirkabir Univ. of Tech., Tehran, Iran,

2 Dept. of Mech. Eng., Amirkabir Univ. of Tech., Tehran, Iran

3 Dept. of Mech. Eng., Industrial Faculty, Islamic Azad Univ., Central Tehran Branch, Tehran, Iran


This research presents a semi analytical solution of finitely long, simply
supported, orthotropic, piezoelectric, radially polarized, shell
panel under pressure and electrostatic excitation. The general solution
of the governing partial differential equations are obtained by
the method of separation of variables. The displacements and electric
potential are expanded in appropriate trigonometric Fourier series
in the circumferential and axial coordinate to satisfy the boundary
conditions at the simply-supported circumferential and axial
edges. The governing ordinary differential equations are solved by
the Galerkin finite element method. In this procedure, the quadratic
shape function is used in each element. Numerical examples are provided
for typical external pressure on outer surface of a single layer
piezoelectric panel.


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