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

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