ON THE VIBRATIONS OF A THIN ELASTIC ORTHOTROPIC CYLINDRICAL SHELL WITH FREE EDGES

Abstract

The issue of the existence of natural vibrations of a thin elastic orthotropic circular non-closed cylindrical shell with free edges is studied. Using a system of equations of the related classical theory of orthotropic cylindrical shells, dispersion equations and asymptotic formulas are obtained for determining the natural frequencies of possible vibration types for a cylindrical shell of the open profile having a Navier hinge on the boundary generating lines. An algorithm for subdividing the possible vibration types is presented. Approximate values of a dimensionless characteristic of a natural frequency and the fading characteristics of the related vibration forms are given, exemplified by orthotropic cylindrical shells of various lengths.