Oscillations of multilayer viscoelastic composite toroidal pipes

Abstract

This article discusses a method for calculating the dynamic characteristics of thin-walled viscoelastic composite pipes made by continuous winding under the influence of internal hydrodynamic pressures. The solution is based on an approximate energy method based on the instant theory of shells and the second-order Lagrange equation. Initial technological irregularities are taken into account. The pipe is considered a multilayer viscoelastic toroidal shell with variable reinforcement parameters, initial ovality and difference in thickness. The dynamics problem is formulated as the problem of natural oscillations of a compressed thin-walled structure. The basic equations are obtained in the form of a coupled system of ordinary integrodifferential equations with variable stiffness coefficients.