Analysis of forced vibrations by nonlinear modes

被引：17
|
作者：
Avramov, K. V. [1 ,2 ]
机构：
[1] Natl Acad Sci Ukraine, AN Podgornogo Inst Problems Engn Mech, Dept Nonstationary Vibrat, UA-61046 Kharkov, Ukraine
[2] Natl Tech Univ KhPI, DEpt Gas & Fluid Mech, UA-61002 Kharkov, Ukraine
来源：
NONLINEAR DYNAMICS | 2008年 / 53卷 / 1-2期
关键词：
Rausher method; nonlinear modes; forced vibrations; shallow arch;
D O I：
10.1007/s11071-007-9300-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The combination of Rausher method and nonlinear modes is suggested to analyze the forced vibrations of nonlinear discrete systems. The basis of the Rausher method is iterative procedure. In this case, the analysis of a nonautonomous dynamical system reduces to the multiple solutions of the autonomous ones. As an example, the forced vibrations of shallow arch close to equilibrium position are considered in this paper. The results of the analysis are shown on the frequency response.
引用
收藏
页码：117 / 127
页数：11
相关论文
共 50 条
  • [11] Design sensitivity analysis of beams under nonlinear forced vibrations
    Hou, Jean W.
    Mei, Chuh
    Xue, Yong X.
    AIAA journal, 1990, 28 (06): : 1067 - 1068
  • [12] Nonlinear forced vibrations analysis of overhung rotors with unbalanced disk
    Tiaki, M. Moradi
    Hosseini, S. A. A.
    Zamanian, M.
    ARCHIVE OF APPLIED MECHANICS, 2016, 86 (05) : 797 - 817
  • [13] DESIGN SENSITIVITY ANALYSIS OF BEAMS UNDER NONLINEAR FORCED VIBRATIONS
    HOU, JW
    MEI, C
    XUE, YX
    AIAA JOURNAL, 1990, 28 (06) : 1067 - 1068
  • [14] Nonlinear forced vibrations analysis of overhung rotors with unbalanced disk
    M. Moradi Tiaki
    S. A. A. Hosseini
    M. Zamanian
    Archive of Applied Mechanics, 2016, 86 : 797 - 817
  • [15] NONLINEAR FORCED VIBRATIONS OF BEAMS.
    Countryman, M.
    Kannan, R.
    Journal of Applied Mechanics, Transactions ASME, 1985, 52 (01): : 163 - 166
  • [16] NONLINEAR FORCED VIBRATIONS OF A CIRCULAR PLATE
    NESTEROV, SV
    SOVIET PHYSICS ACOUSTICS-USSR, 1965, 11 (01): : 60 - &
  • [17] FORCED NONLINEAR VIBRATIONS OF SHALLOW SHELLS
    FLEISHMAN, NP
    LIKHACHEV, VV
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1989, (10): : 57 - 61
  • [18] FORCED VIBRATIONS IN LARGE SPACE REFLECTORS WITH LOCALIZED MODES
    CORNWELL, PJ
    BENDIKSEN, OO
    AIAA/ASME/ASCE/AHS/ASC 30TH STRUCTURES, STRUCTURAL DYNAMICS AND MATERIALS CONFERENCE, PTS 1-4: A COLLECTION OF TECHNICAL PAPERS, 1989, : 188 - 198
  • [19] DAMPED FORCED NONLINEAR VIBRATIONS OF SYSTEMS WITH DELAY
    BOJADZIEV, GN
    JOURNAL OF SOUND AND VIBRATION, 1976, 46 (01) : 113 - 120
  • [20] Forced nonlinear vibrations in hierarchically constructed media
    Mykulyak, S. V.
    Skurativska, I. A.
    Skurativskyi, S. I.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2018, 98 : 51 - 57
12345