Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer

Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer

The aim of the present paper is to examine the effect of the vertical quasiperiodic oscillations on the stability of the free surface of an ideal horizontal liquid layer. The quasiperiodic motion considered here is characterized by two incommensurate frequencies ω1 and ω2. The governing system of eq...

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Main Authors: Belhaq M., Aniss S., Yagoubi M.
Format: Article
Language:English
Published: EDP Sciences 2012-07-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20120106007
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spelling doaj-21783e97715f425ab22c317b647f33af2021-03-02T09:22:46ZengEDP SciencesMATEC Web of Conferences2261-236X2012-07-0110600710.1051/matecconf/20120106007Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layerBelhaq M.Aniss S.Yagoubi M.The aim of the present paper is to examine the effect of the vertical quasiperiodic oscillations on the stability of the free surface of an ideal horizontal liquid layer. The quasiperiodic motion considered here is characterized by two incommensurate frequencies ω1 and ω2. The governing system of equations is reduced to a quasiperiodic Mathieu equation. In this situation, using the harmonic balance method developed by Rand et al. [10, 11] and Hill’s determinants, we determine the marginal stability curves. We show that the quasiperiodic excitation produces a stabilizing or a estabilizing effect and is strongly depending on the ratio of the frequencies. http://dx.doi.org/10.1051/matecconf/20120106007
collection DOAJ
language English
format Article
sources DOAJ
author Belhaq M.
Aniss S.
Yagoubi M.
spellingShingle Belhaq M.
Aniss S.
Yagoubi M.
Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer
MATEC Web of Conferences
author_facet Belhaq M.
Aniss S.
Yagoubi M.
author_sort Belhaq M.
title Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer
title_short Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer
title_full Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer
title_fullStr Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer
title_full_unstemmed Effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer
title_sort effect of vertical quasiperiodic vibrations on the stability of the free surface of an inviscid liquid layer
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2012-07-01
description The aim of the present paper is to examine the effect of the vertical quasiperiodic oscillations on the stability of the free surface of an ideal horizontal liquid layer. The quasiperiodic motion considered here is characterized by two incommensurate frequencies ω1 and ω2. The governing system of equations is reduced to a quasiperiodic Mathieu equation. In this situation, using the harmonic balance method developed by Rand et al. [10, 11] and Hill’s determinants, we determine the marginal stability curves. We show that the quasiperiodic excitation produces a stabilizing or a estabilizing effect and is strongly depending on the ratio of the frequencies.
url http://dx.doi.org/10.1051/matecconf/20120106007
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AT anisss effectofverticalquasiperiodicvibrationsonthestabilityofthefreesurfaceofaninviscidliquidlayer
AT yagoubim effectofverticalquasiperiodicvibrationsonthestabilityofthefreesurfaceofaninviscidliquidlayer
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