On the approximate solution of a piecewise nonlinear oscillator under super-harmonic resonance

被引:19
作者
Ji, JC [1 ]
Hansen, CH [1 ]
机构
[1] Univ Adelaide, Dept Engn Mech, Adelaide, SA 5005, Australia
基金
澳大利亚研究理事会;
关键词
D O I
10.1016/j.jsv.2004.05.033
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
An approximate solution for the super-harmonic resonance response of a periodically excited nonlinear oscillator with a piecewise nonlinear-linear characteristic is constructed using both a matching method and a modified averaging method. The validity of the developed analysis is confirmed by comparing the approximate solutions with the results of direct numerical integration of the original equation. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:467 / 474
页数:8
相关论文
共 21 条
  • [1] [Anonymous], 2000, PERTURBATION METHODS, DOI DOI 10.1002/9783527617609
  • [2] THE EFFECT OF FREQUENCY AND CLEARANCE VARIATIONS ON SINGLE-DEGREE-OF-FREEDOM IMPACT OSCILLATORS
    BUDD, C
    DUX, F
    CLIFFE, A
    [J]. JOURNAL OF SOUND AND VIBRATION, 1995, 184 (03) : 475 - 502
  • [3] Periodic response of piecewise non-linear oscillators under harmonic excitation
    Chatterjee, S
    Mallik, AK
    Ghosh, A
    [J]. JOURNAL OF SOUND AND VIBRATION, 1996, 191 (01) : 129 - 144
  • [4] DEKRAKER B, 2000, APPL NONLINEAR DYNAM, P61
  • [5] Guckenheimer J., 1983, NONLINEAR OSCILLATIO, V42
  • [6] CHAOTIC MOTION OF A HORIZONTAL IMPACT PAIR
    HAN, RPS
    LUO, ACJ
    DENG, W
    [J]. JOURNAL OF SOUND AND VIBRATION, 1995, 181 (02) : 231 - 250
  • [7] Analytical approximation of the primary resonance response of a periodically excited piecewise non-linear-linear oscillator
    Ji, JC
    Hansen, CH
    [J]. JOURNAL OF SOUND AND VIBRATION, 2004, 278 (1-2) : 327 - 342
  • [8] Piecewise approximate analytical solutions for a Jeffcott rotor with a snubber ring
    Karpenko, EV
    Wiercigroch, M
    Pavlovskaia, EE
    Cartmell, MP
    [J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2002, 44 (03) : 475 - 488
  • [9] KUNDSEN J, 2003, J SOUND VIBRATION, V263, P175
  • [10] Mickens RE, 1996, OSCILLATIONS PLANAR