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Investigation of stability of a solution of mathematical model of a pipeline dynamics

TitleInvestigation of stability of a solution of mathematical model of a pipeline dynamics
AuthorsP. A. Velmisov1, P. A. Shamanaev2, O. S. Yazovtseva2
1Ulyanovsk State Technical University
2 National Research Ogarev Mordovia State University
AnnotationThe article is devoted to investigation of a pipeline dynamics, which is flexible hollow rod with flowing liquid. The explored model is reduced to investigation of stability of trivial equilibrium of nonlinear system of ordinary differential equations by the Galerkin method. The parametric area is constructed, that provides asymptotic stability of the approximate solution of the explored model, by Routh–Hurwitz stability criterion
Keywordsdynamic stability of flexible pipeline, Galerkin method, Lyapunov's asymptotic stability, Routh–Hurwitz stability criterion
CitationVelmisov P. A., Shamanaev P. A., Yazovtseva O. S. ''Investigation of stability of a solution of mathematical model of a pipeline dynamics '' [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. 26-31. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper04.pdf. - Date of access: 09.12.2018.