E3S Web of Conf.
Volume 365, 2023IV International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2022)
|Number of page(s)||12|
|Section||Engineering Materials Science, Intelligent Transport Systems and Transport Logistics|
|Published online||30 January 2023|
Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid
1 Norwegian University of Science and Technology, Trondheim, Norway
2 “Tashkent institute of irrigation and agricultural mechanization engineers” National Research University, Tashkent, Uzbekistan
3 Tashkent State Agrarian University, Tashkent, Uzbekistan
* Corresponding author: email@example.com
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 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 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.
© The Authors, published by EDP Sciences, 2023
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