Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid

The effect of non-stationary external forces on the vibration pipelines made composite materials is investigated in paper. A mathematical model pipeline developed, considering viscosity properties structure and base material, axial forces, internal pressure, resistance disturbances. viscoelastic conveying fluid under vibrations constructed based Boltzmann-Volterra integral model. to study a Euler-Bernoulli beam theory. Considering physicomechanical problems consideration presents system integro-differential equations (IDE) partial derivatives with corresponding initial boundary conditions. nonlinear differential equations, obtained using Bubnov-Galerkin method considered conditions, are reduced solving ordinary equations. computational algorithm developed eliminating features weakly singular kernels, followed by quadrature formulas.