Metadata (abstracts and keywords) for the articles in the journal
A.V.Chigarev, Y.V.Chigarev Stochastics of pipeline vibrations under dynamic interna // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2020. № 3(45). p. 49-55
Author(s):
A.V.Chigarev, Y.V.Chigarev
Index of UDK:
539.3
DOI:
10.37972/chgpu.2020.84.77.004
Title:
Stochastics of pipeline vibrations under dynamic interna
. Vibrations of a liquid-filled pipeline relative to the horizontal axis are considered. The pipe is supported by two supports — a movable and a fixed one. The initial movement of the pipe is characterized by is bending, angular deflection and hydraulic shok, after which the internal pressure on the pipe walls takes the form of δ-shoks. The system of equations for pipeline vibrations is reduced to the Duffing equation. A stochasticity boundary is obtained that divides the deterministic domain of the solution from the stochastic one. The Fokker–Plank–Kolmogorov diffusion equation is obtained, which makes it possible to determine the standard deviation of the bending vibrations of the pipe.
The contact details of authors:
Chigarev Anatoly Vlasovich, Doctor of physical and mathematical Sciences, Professor, Belarusian state University, Minsk, Belarus.
Chigarev Yuri Vlasovich, Doctor of physical and mathematical Sciences, Professor, Belarusian state agrotechnical University, Minsk, Belarus.