On control of dynamic of a pipeline in the case of its dynamic instability

Title	On control of dynamic of a pipeline in the case of its dynamic instability
Authors	P. A. Velmisov¹, A. V. Gladun² ¹Ulyanovsk State Technical University ²Ulyanovsk Civil Aviation Institute named after Chief Marshal of Aviation B.P. Bugaev
Annotation	The problem of control of a mechanical system, which is a hollow elastic rod with a fluid or gas, flowing inside it (pipeline), is investigated. The case of dynamic instability of a mechanical system is considered. The controllability of the system is determined by linear approximation. The controls are constructed to ensure the damping of the pipeline oscillations. The results of numerical simulation of the behavior of the mechanical system under the action of constructed controls with given parameters are presented.
Keywords	elastic pipeline, dynamics, controllability, control, partial differential equations, Galerkin method, a linear approximation
Citation	Velmisov P. A., Gladun A. V. ''On control of dynamic of a pipeline in the case of its dynamic instability'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 381-390. Available at: https://conf.svmo.ru/files/deamm2017/papers/paper54.pdf. - Date of access: 21.11.2024.