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

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

Blog Article

The effect of non-stationary external forces on the vibration of pipelines made of composite materials is investigated in the paper.A mathematical model of composite pipeline vibration is developed, considering the viscosity properties of the structure and deity deftrap pipeline base material, axial forces, internal pressure, resistance forces, and external disturbances.A mathematical model of viscoelastic pipelines conveying fluid under vibrations is constructed based on the Boltzmann-Volterra integral model.

The mathematical model to study a pipeline is based on the Euler-Bernoulli beam theory.Considering the physicomechanical properties of the pipeline neutral checkered phone case material, the mathematical model of the problems under consideration presents a system of integro-differential equations (IDE) in partial derivatives with corresponding initial and boundary conditions.The nonlinear partial differential equations, obtained using the Bubnov-Galerkin method under considered boundary conditions, are reduced to solving the system of ordinary integro-differential equations.

A computational algorithm is developed based on eliminating features of integro-differential equations with weakly singular kernels, followed by using quadrature formulas.