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

TitleOn control of dynamic of a pipeline in the case of its dynamic instability
AuthorsP. A. Velmisov1, A. V. Gladun2
1Ulyanovsk State Technical University
2Ulyanovsk Civil Aviation Institute named after Chief Marshal of Aviation B.P. Bugaev
AnnotationThe 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.
Keywordselastic pipeline, dynamics, controllability, control, partial differential equations, Galerkin method, a linear approximation
CitationVelmisov 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: http://conf.svmo.ru/files/deamm2017/papers/paper54.pdf. - Date of access: 10.12.2019.