Resonant modes of the motion of a cylindrical reservoir on a movable pendulum suspension with a free-surface liquid

dc.citation.epage183
dc.citation.issue2
dc.citation.spage178
dc.contributor.affiliationКиївський національний університет імені Тараса Шевченка
dc.contributor.affiliationTaras Shevchenko Kyiv National University
dc.contributor.authorЛимарченко, О.
dc.contributor.authorНефьодов, О.
dc.contributor.authorLimarchenko, O.
dc.contributor.authorNefedov, A.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2020-02-27T08:51:50Z
dc.date.available2020-02-27T08:51:50Z
dc.date.created2018-02-26
dc.date.issued2018-02-26
dc.description.abstractДосліджено систему “резервуар – рідина з вільною поверхнею”, коли резервуар знаходиться на маятниковому підвісі з точкою підвісу, що виконує заданий рух. Вивчено поведінку системи для дорезонансного, білярезонансного і зарезонансного режимів. Описано поведінку системи на основі нелінійної моделі руху, згідно з якою приймається до уваги сумісний характер руху компонент системи. Чисельне моделювання показало, що загальні закономірності поведінки системи якісно узгоджуються з відомими експериментами.
dc.description.abstractThe article deals with an investigation of the system of “reservoir – liquid with a free surface”, when the reservoir is fixed on pendulum suspension, which suspension point performs a given motion. The system behavior is studied for the below-resonant, nearresonant and above-resonant modes. The description of the system behavior is done based on a nonlinear model of motion, which takes into account the combined character of motion of the system components. The numerical modeling shows that general regularities of the system behavior coincide qualitatively with known experiments.
dc.format.extent178-183
dc.format.pages6
dc.identifier.citationLimarchenko O. Resonant modes of the motion of a cylindrical reservoir on a movable pendulum suspension with a free-surface liquid / O. Limarchenko, A. Nefedov // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 2. — P. 178–183.
dc.identifier.citationenLimarchenko O. Resonant modes of the motion of a cylindrical reservoir on a movable pendulum suspension with a free-surface liquid / O. Limarchenko, A. Nefedov // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 2. — P. 178–183.
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/46139
dc.language.isoen
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 2 (5), 2018
dc.relation.references1. Limarchenko O. S., Yasinskiy V. V. Nonlinear dynamics of structures with liquid. National Technical University of Ukraine “KPI” (1997), (in Russian).
dc.relation.references2. Faltinsen O. M., Rognebakke O. M., Timokha A. N. Resonant three-dimensional nonlinear sloshing in a square-base basin. J. Fluid Mech. 487, 1–42 (2003).
dc.relation.references3. Ibrahim R. A. Liquid sloshing dynamics: theory and applications. Cambridge University Press (2005).
dc.relation.references4. Lukovskiy I. A. Introduction to nonlinear dynamics of a rigid body with cavities containing liquid. Naukova dumka, Kiev (1990), (in Russian).
dc.relation.references5. Faltinsen O. M., Rognebakke O. M., Timokha A. N. Transient and steady-state amplitudes of resonant threedimensional sloshing in a square base tank with a finite fluid depth. Physics of fluids. 18 (1), 012103 (2006).
dc.relation.references6. Mikishev G. N., Rabinovich B. I. Dynamics of rigid bodies with cavities partially filled by liquid. Mashinostroenie, Moscow (1968), (in Russian).
dc.relation.references7. Pal P. Sloshing of liquid in partially filled container – an experimental study. International Journal of Recent Trends in Engineering. 1 (6), 1–5 (2009).
dc.relation.references8. Zhang Ch., Li Y., Meng Q. Fully nonlinear analysis of second order sloshing resonance in a three-dimensional tank. Computers & Fluids. 116, 88–104 (2015).
dc.relation.references9. Limarchenko O. S., Gubskaya V. V. Problem of forced nonlinear oscillations of the reservoir of truncated conic shape, partially filled with liquid. Bulletin of Kiev National University. 1 (4), 73–76 (2012).
dc.relation.references10. Lymarchenko O. S., Semenovych K. O. Energy redistribution between the reservoir and liquid with free surface for angular motions of the system. Journal of Mathematical Sciences. 222 (3), 296–303 (2017).
dc.relation.referencesen1. Limarchenko O. S., Yasinskiy V. V. Nonlinear dynamics of structures with liquid. National Technical University of Ukraine "KPI" (1997), (in Russian).
dc.relation.referencesen2. Faltinsen O. M., Rognebakke O. M., Timokha A. N. Resonant three-dimensional nonlinear sloshing in a square-base basin. J. Fluid Mech. 487, 1–42 (2003).
dc.relation.referencesen3. Ibrahim R. A. Liquid sloshing dynamics: theory and applications. Cambridge University Press (2005).
dc.relation.referencesen4. Lukovskiy I. A. Introduction to nonlinear dynamics of a rigid body with cavities containing liquid. Naukova dumka, Kiev (1990), (in Russian).
dc.relation.referencesen5. Faltinsen O. M., Rognebakke O. M., Timokha A. N. Transient and steady-state amplitudes of resonant threedimensional sloshing in a square base tank with a finite fluid depth. Physics of fluids. 18 (1), 012103 (2006).
dc.relation.referencesen6. Mikishev G. N., Rabinovich B. I. Dynamics of rigid bodies with cavities partially filled by liquid. Mashinostroenie, Moscow (1968), (in Russian).
dc.relation.referencesen7. Pal P. Sloshing of liquid in partially filled container – an experimental study. International Journal of Recent Trends in Engineering. 1 (6), 1–5 (2009).
dc.relation.referencesen8. Zhang Ch., Li Y., Meng Q. Fully nonlinear analysis of second order sloshing resonance in a three-dimensional tank. Computers & Fluids. 116, 88–104 (2015).
dc.relation.referencesen9. Limarchenko O. S., Gubskaya V. V. Problem of forced nonlinear oscillations of the reservoir of truncated conic shape, partially filled with liquid. Bulletin of Kiev National University. 1 (4), 73–76 (2012).
dc.relation.referencesen10. Lymarchenko O. S., Semenovych K. O. Energy redistribution between the reservoir and liquid with free surface for angular motions of the system. Journal of Mathematical Sciences. 222 (3), 296–303 (2017).
dc.rights.holderCMM IAPMM NASU
dc.rights.holder© 2018 Lviv Polytechnic National University
dc.subjectколивання рідини
dc.subjectрезервуар на маятниковому підвісі
dc.subjectбілярезонансні режими руху
dc.subjectамплітудна модуляція
dc.subjectliquid oscillations
dc.subjectreservoir on pendulum suspension
dc.subjectnear-resonant modes of motion
dc.subjectamplitude modulation
dc.subject.udc532.595
dc.titleResonant modes of the motion of a cylindrical reservoir on a movable pendulum suspension with a free-surface liquid
dc.title.alternativeРезонансні режими руху циліндричного резервуару на рухомому маятниковому підвісі з рідиною з вільною поверхнею
dc.typeArticle

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