Three-dimensional vibration analysis of a homogeneous transversely isotropic thermoelastic cylindrical panel

In this paper, based on three-dimensional thermoelasticity, an exact analys is of the free vibrations of a simply supported, homogeneous, transversely isotropic, cylindrical panel is presented. Three displacement potential fun ctions are introduced so that the equations of motion and heat conduction a re uncoupled and simplified. It is noticed that a purely transverse mode is independent of temperature change and the rest of the motion. The equation s for free vibration problems are further reduced to four second-order ordi nary differential equations, after expanding the potential and temperature functions with an orthogonal series. A modified Bessel function solution wi th complex arguments is directly used for complex eigenvalues. To clarify t he developed method and compare the results to the existing ones, numerical examples are presented. (C) 2001 Acoustical Society of America.