V. P. Radin, V. P. Chirkov, O. V. Novikova, A. V. Shchugorev, V. N. Shchugorev
{"title":"Influence of Flow Velocity Variability on Pipeline Stability Boundaries","authors":"V. P. Radin, V. P. Chirkov, O. V. Novikova, A. V. Shchugorev, V. N. Shchugorev","doi":"10.3103/S0027133022010034","DOIUrl":null,"url":null,"abstract":"<p>The paper considers parametric oscillations of a classical system under nonconservative loading—a flexible pipeline with a flowing liquid. The parametric effect on the system is determined by the variability of the fluid flow rate. The stability of the rectilinear form of the pipeline equilibrium according to the Floquet–Lyapunov theory is investigated by the monodromy matrix method. The main focus is the study of the influence the characteristics of the parametric effect have on the stability boundary position of the pipeline, assuming a harmonic deviation of the flow rate from a certain constant, in particular, the amplitude and frequency.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 1","pages":"12 - 18"},"PeriodicalIF":0.3000,"publicationDate":"2022-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133022010034","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The paper considers parametric oscillations of a classical system under nonconservative loading—a flexible pipeline with a flowing liquid. The parametric effect on the system is determined by the variability of the fluid flow rate. The stability of the rectilinear form of the pipeline equilibrium according to the Floquet–Lyapunov theory is investigated by the monodromy matrix method. The main focus is the study of the influence the characteristics of the parametric effect have on the stability boundary position of the pipeline, assuming a harmonic deviation of the flow rate from a certain constant, in particular, the amplitude and frequency.
期刊介绍：
Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.
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