Inhomogeneity Material Effect on Electromechanical Stresses, Displacement and Electric Potential in FGM Piezoelectric Hollow Rotating Disk

Document Type : Research Paper


1 Department of Mechanical Engineering, Faculty of Engineering, University of Kashan

2 Department of Mechanical Engineering, Khomeynishahr Branch, Islamic Azad University, Khomeynishahr


In this paper, a radially piezoelectric functionally graded rotating disk is investigated by the analytical solution. The variation of material properties is assumed to follow a power law along the radial direction of the disk. Two resulting fully coupled differential equations in terms of the displacement and electric potential are solved directly. Numerical results for different profiles of inhomogeneity are also graphically displayed.


[1] Tiersten H.F., 1969, Linear Piezoelectric Plate Vibrations, Plenum, New York.
[2] Berlincourt D.A., 1971, Piezoelectric crystals and ceramics, in: Ultrasonic Transducer Materials, edited by O.E. Mattiat, Plenum, New York, 63-124.
[3] Berlincourt D.A., Curran D.R., Jaffe H., 1964, Piezoelectric and piezomagnetic materials and their function in transducers, in: Physical Acoustics: Principles and Methods, edited by W.P. Mason, Academic, New York, 169-270.
[4] Jaffe B., Cook W.R. Jr, Jaffe H., 1971, Piezoelectric Ceramics, Academic, London.
[5] Grinchenko V.T., Ulitko A.F., Shul’ga N.A., 1989, Electroelasticity, In: Mechanics of Coupled Fields in Structural Members (in Russian), edited by A.N. Guz, (ed.), Volume 5 of the five-volume series, Naukova Dumka, Kiev.
[6] Adelman N.T., Stavsky Y., Segal E., 1975, Axisymmetric vibrations of radially polarized piezoelectric ceramic cylinders, Journal of Sound and Vibration 38: 245-254.
[7] Khoshgoftar M.J., Ghorbanpour, A., Arefi, M., 2009, Thermoelastic analysis of thick walled cylinder made of functionally graded piezoelectric material, Smart Materials and Structures 18:115007.
[8] Bayat M., Saleem M., Sahari B.B., Hamouda A.M.S., Mahdi E., 2007, Analysis of functionally graded rotating disks with variable thickness, Thin-Walled Structures 45(7-8): 677-691
[9] Chen, W.Q., 1999, Problems of radially polarized piezoelastic bodies, International Journal of Solids and Structures 36: 4317-4332.
[10] Ghorbanpour A., Golabi S., Saadatfar M., 2006, Stress and Electric Potential Fields in piezoelectric Smart Spheres, Journal of Mechanical Science and Technology 20: 1920-1933.
[11] Hou P.F., Ding H.J., Leung A.Y.T., 2006, The transient responses of a special inhomogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem, Journal of Sound and Vibration 291: 19-47.
[12] Babaei M.H., Chen Z.T., 2008, Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft, Archive of Applied Mechanics 78: 489-500.