VIBRATIONS REINFORCED BY LONGITUDINAL RIBS OF AN INHOMOGENEOUS ORTHOTROPIC CYLINDRICAL PANEL CONTACTING WITH A VISCOUS-ELASTIC MEDIUM

Abstract

Vibrations of an orthotropic cylindrical panel, non-uniform in thickness, supported by longitudinal ribs, lying on a linearly viscoelastic foundation, were investigated. The Hamilton – Ostrogradsky variational principle was used to find the vibration frequencies of the panel. A frequency equation is constructed, its roots are found, and the influence of physical and geometric parameters characterizing the system is studied.