Free vibration of transversely isotropic piezoelectric circular cylindrical panels

• Published in: International journal of mechanical sciences Vol. 44; no. 1; pp. 191 - 206
• Main Authors: Ding, H.J., Xu, R.Q., Chen, W.Q.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 2002; Elsevier
• Subjects: Boundary conditions; Cylindrical panel; Deformation; Exact sciences and technology; Free vibration; Fundamental areas of phenomenology (including applications); General solution; Physics; Piezoelectric material; Piezoelectric materials; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations (mechanical); Vibrations and mechanical waves; Piezoelectric material; General solution; Free vibration; Cylindrical panel; Modeling; Exact solution; Separation method; Three dimensional model; Trigonometric function; Transverse isotropy; Piezoelectricity; Circular cylinder; Cylindrical shell; Bending vibration; Structural analysis; Electromechanical properties
• ISSN: 0020-7403; 1879-2162
• DOI: 10.1016/S0020-7403(01)00076-5

This paper presents an exact three-dimensional free vibration analysis of a transversely isotropic piezoelectric circular cylindrical panel. The general solution for coupled equations for piezoelectric media that was recently proposed by Ding et al. (Int. J. Solids Struct. 33 (1996) 2283) is employed. By using the variable separation method, three-dimensional exact solutions are obtained under several boundary conditions. Numerical results are finally presented and compared with available data in literature. The results show the non-dimensional frequencies of the piezoelectric panel are bigger than that of the non-piezoelectric one.