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

被引:18
|
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 50 条
  • [1] Simultaneous primary and super-harmonic resonance of Duffing oscillator
    Hang, Li
    Yong -Jun, Shen
    Shao-Pu, Yang
    Meng-Fei, Peng
    Yan-Jun, Han
    ACTA PHYSICA SINICA, 2021, 70 (04)
  • [2] Primary and super-harmonic simultaneous resonance of van der Pol oscillator
    Cai, Chengcai
    Shen, Yongjun
    Wen, Shaofang
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2022, 147
  • [3] Super-harmonic resonance of fractional-order van der Pol oscillator
    Wei Peng
    Shen Yong-Jun
    Yang Shao-Pu
    ACTA PHYSICA SINICA, 2014, 63 (01)
  • [4] Two families of super-harmonic resonances in a time-delayed nonlinear oscillator
    Ji, J. C.
    JOURNAL OF SOUND AND VIBRATION, 2015, 349 : 299 - 314
  • [5] Vibration Analysis of a Nonlinear System with a Nonlinear Absorber under the Primary and Super-harmonic Resonances
    Saberi, L.
    Nahvi, H.
    INTERNATIONAL JOURNAL OF ENGINEERING, 2014, 27 (03): : 499 - 507
  • [6] Super-harmonic and sub-harmonic simultaneous resonance of fractional-order van der Pol oscillator
    Jiang Y.
    Shen Y.-J.
    Wen S.-F.
    Zhendong Gongcheng Xuebao/Journal of Vibration Engineering, 2019, 32 (05): : 863 - 873
  • [7] Nonlinear vibration and super-harmonic resonance analysis of aluminum alloy friction stir welding
    Mo, Shuai
    Zhang, Yanchen
    Liu, Yiheng
    Liu, Wenbin
    Zhou, Yuansheng
    Zhang, Jielu
    Zhang, Wei
    NONLINEAR DYNAMICS, 2024, 112 (13) : 11013 - 11041
  • [8] Simultaneously primary and super-harmonic resonance of a van der Pol oscillator with fractional-order derivative
    Cai, Chengcai
    Shen, Yongjun
    Wen, Shaofang
    CHAOS SOLITONS & FRACTALS, 2023, 176
  • [9] THE MODULATION OF RESPONSE CAUSED BY THE FRACTIONAL DERIVATIVE IN THE DUFFING SYSTEM UNDER SUPER-HARMONIC RESONANCE
    Li, Yajie
    Wu, Zhiqiang
    Lan, Qixun
    Cai, Yujie
    Xu, Huafeng
    Sun, Yongtao
    THERMAL SCIENCE, 2021, 25 (03): : 2357 - 2367
  • [10] Analysis of super-harmonic resonance and periodic motion transition of fractional nonlinear vibration isolation system
    Qu, Minghe
    Yang, Qing
    Wu, Shaopei
    Ding, Wangcai
    Li, Jie
    Li, Guofang
    JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2023, 42 (02) : 771 - 788