Modeling of Flexural Waves in a Homogeneous Isotropic Rotating Cylindrical Panel

Abstract

The flexural wave propagation in a homogeneous Isotropic rotating cylindrical panel is investigated in the context of the linear theory of elasticity. Three displacement potential functions are introduced to uncouple the equations of motion. The frequency equations are obtained using the traction free boundary conditions. A modified Bessel functions with complex argument is directly used to analyze the frequency equations and are studied numerically for the material copper. The computed Relative frequency shift is studied for flexural(symmetric and skew-symmetric) modes and are plotted in the form of dispersion curves with the support of MATLAB.

Keywords: Isotropic cylindrical panel, Rotation,modified Bessel function.