Three-Dimensional Elasticity Solution of Single Layer Piezoelectric Panel

Authors

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

Abstract

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.

Keywords

References

[1] Crawley, F.E., “Intelligent Structures for Aerospace: A Technology Overview and Assessment”,
AIAA J., Vol. 32, pp. 1689-1700, (1994).
[2] Dumir, P.C., Dube, G.P., and Kapuria, S., “Exact Piezoelelastic Solution of Simply-
Supported Orthotropic Circular Cylindrical Panel in Cylindrical Bending”, Int. J. Solids
Structure, Vol. 34 (6), pp. 685-702, (1997).
[3] Ray, M.C., Rao, K.M., and Samanta, B., “Exact Analysis of Coupled Electrostatic Behavior
of a Piezoelectric Plate under Cylindrical Bending”, Compu. Struct, Vol. 45, pp.
667-677, (1992).
[4] Ray, M.C., Rao, K.M., and Samanta, B., “Exact Solution of an Intelligent Structure under
Cylindrical Bending”, Compu. Struct., Vol. 47, pp. 1031-1042, (1993).
[5] Ray, M.C., Rao, K.M., and Samanta, B., “Exact Solutions for Static Analysis of Intelligent
Structures”, AIAA J., Vol. 31, pp. 1684-1691, (1993).
[6] Mitchell, J.A., and Reddy, J.N., “A Study of Embedded Piezoelectric Layers in Composite
Cylinders”, J. Appl. Mech., Vol. 62, pp. 162-173, (1993).
[7] Ren, J.G., “Exact Solutions for Laminated Cylindrical Shells in Cylindrical Bending”,
Comp. Sci. Tech., Vol. 29, pp. 169-187, (1987).
[8] Chen, C.Q., Shen, Y.P., and Wang, X.M., “Exact Solutions for Orthotropic Cylindrical
Shell with Piezoelecric Layers under Cylindrical Bending”, Int. J. Solids Struct., Vol. 33,
No. 30, pp. 4481-4494, (1996).
[9] Kapuria, S., Sengupta, S., and Dumir, P.C., “Three-Dimensional Solution for Simply-
Supported Piezoelectric Cylinderical Shell for Axisymmetric Load”, Compu. Methods in
Appl. Mech. Eng., Vol. 29, pp. 169-187, (1997).
[10] Shakeri, M., Daneshmehr, A., and Alibiglu, A., “Elasticity Solution for Thick Laminated
Shell Panel with Piezoelectric Layer”, EASEC-9 Conf., Bali, Indonesia, (2003).
[11] Shakeri, M., Alibiglu, A., and Eslami, M.R., “Elsticity Solution for Thick Laminated
Anisotropic Cylindrical Panels under Dynamic Load”, J. of Mech. Eng. Sci. (ImechE),
Vol. 216, part C, pp. 315-324, (2002).
[12] Tiersten, H.F., “Piezoelectric Plate Vibration”, Plenum Press, New York, pp. 54-55,
(1969).
[13] Chen, C.Q., and Shen, Y.P., “Piezothermoelasticity Analysis for Cylindrical Shell under
the State of Axisymmetric Deformation”, Int. J. Engng Sci., Vol. 34, No. 14, pp. 1585-
1600, (1996).

Files

Share

How to cite

Statistics