Free Vibrations of Thin Elastic Orthotropic Cylindrical Panel with Hinge-Mounted Edge Generator

Using the system of equations corresponding to the classical theory of orthotropic cylindrical shells, the free vibrations of a thin elastic orthotropic cylindrical panel with hinge-mounted edge generator are investigated. To calculate the natural frequencies and to identify the respective natural modes, the generalized Kantorovich-Vlasov method of reduction to ordinary differential equations is used. Dispersion equations for finding the natural frequencies of possible types of vibrations are derived. An asymptotic relation between the dispersion equations of the problems at hand and the analogous problem for a rectangular plate is established. A mechanism is given by which possible types of edge oscillations are distinguished. As examples, the values of dimensionless characteristics of natural frequencies are derived for an orthotropic cylindrical panels.