Two-frequency parametric excitation of the surface of viscous magnetic fluid

被引：5
|
作者：
Bajaj, R [1 ]
机构：
[1] Panjab Univ, Ctr Adv Studies Math, Chandigarh 160014, India
来源：
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS | 2003年 / 261卷 / 1-2期
关键词：
magnetic fluids; parametric excitation; surface instability; modulation; instability;
D O I：
10.1016/S0304-8853(02)01410-5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The parametric instability of the surface of viscous magnetic fluid has been discussed in the presence of two frequency (n(1)omega, n(2)omega) oscillating magnetic field H-0(t) = H-0[1 + m[cos(chi)cos(n(1)omegat) + sin(chi)cos(n(2)omegat + phi]]. The marginal stability curves have been drawn and they divide the (k,m) plane into unstable and stable zones. Here k is the wave number and m is the amplitude of excitation. Also discussed is the stability of the interface of two magnetic fluids. We have studied the same two systems under gravity modulation also. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：29 / 47
页数：19
相关论文
共 50 条
  • [1] Two-frequency parametric excitation of surface waves
    Besson, T
    Edwards, WS
    Tuckerman, LS
    PHYSICAL REVIEW E, 1996, 54 (01): : 507 - 513
  • [2] Internal resonance of an axially transporting beam with a two-frequency parametric excitation
    Dengbo ZHANG
    Youqi TANG
    Ruquan LIANG
    Yuanmei SONG
    Liqun CHEN
    AppliedMathematicsandMechanics(EnglishEdition), 2022, 43 (12) : 1805 - 1820
  • [3] Internal resonance of an axially transporting beam with a two-frequency parametric excitation
    Dengbo Zhang
    Youqi Tang
    Ruquan Liang
    Yuanmei Song
    Liqun Chen
    Applied Mathematics and Mechanics, 2022, 43 : 1805 - 1820
  • [4] Two-frequency parametric excitation and internal resonance of a moving viscoelastic beam
    Sahoo, Bamadev
    Panda, L. N.
    Pohit, Goutam
    NONLINEAR DYNAMICS, 2015, 82 (04) : 1721 - 1742
  • [5] Two-frequency parametric excitation and internal resonance of a moving viscoelastic beam
    Bamadev Sahoo
    L. N. Panda
    Goutam Pohit
    Nonlinear Dynamics, 2015, 82 : 1721 - 1742
  • [6] Internal resonance of an axially transporting beam with a two-frequency parametric excitation
    Zhang, Dengbo
    Tang, Youqi
    Liang, Ruquan
    Song, Yuanmei
    Chen, Liqun
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2022, 43 (12) : 1805 - 1820
  • [7] Magnetoelastic Dynamics of a Plate under a Two-Frequency Excitation by a Magnetic Field
    Pleshev, D.A.
    Asadullin, F.F.
    Vlasov, V.S.
    Shcheglov, V.I.
    Bulletin of the Russian Academy of Sciences: Physics, 2024, 88 (Suppl 1) : S59 - S63
  • [8] TWO-FREQUENCY EXCITATION OF MAGNETIZATION OSCILLATIONS OF A THIN MAGNETIC FILM.
    Pol'skiy, A.I.
    Rizunenko, V.I.
    Tyurnev, V.V.
    Yakovchuk, V.Yu.
    Physics of Metals and Metallography, 1982, 53 (05): : 75 - 78
  • [9] Dynamic stability of an axially transporting beam with two-frequency parametric excitation and internal resonance
    Zhang, Deng-Bo
    Tang, You-Qi
    Liang, Ru-Quan
    Yang, Liu
    Chen, Li-Qun
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2021, 85
  • [10] One problem of the two-frequency parametric resonance
    Tkhai, N. V.
    AUTOMATION AND REMOTE CONTROL, 2009, 70 (09) : 1590 - 1593
12345