Analysis of Harmonically Forced Duffing Oscillator with Time Delay State Feedback by Incremental Harmonic Balance Method

被引:0
作者
Han Wu
Xiaohui Zeng
Yubiao Liu
Jiang Lai
机构
[1] Chinese Academy of Sciences,Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics
[2] University of Chinese Academy of Sciences,School of Engineering Science
[3] Nuclear Power Institute of China,undefined
来源
Journal of Vibration Engineering & Technologies | 2021年 / 9卷
关键词
Incremental harmonic balance method; Duffing oscillator; Time delay; Primary and 1/3 subharmonic resonance; Continuous time approximation;
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中图分类号
学科分类号
摘要
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页码:1239 / 1251
页数:12
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[1]  
Naik RD(2012)Stability and Hopf bifurcation of a Nonlinear oscillator with multiple time-delays Chaos Solit Fract 45 1387-1396
[2]  
Singru PM(2020)An active nonlinear controller emulating pendulum-type auto-parametric vibration absorber J Vib Eng Technol 8 555-566
[3]  
Tian Z(1998)Resonances of a harmonically forced Duffing oscillator with time delay state feedback Nonlinear Dyn 15 311-327
[4]  
Jiang J(2019)Periodic solutions of delay nonlinear system by multi-frequency homotopy analysis method J Low Freq Noise Vib Act Control 38 1439-1454
[5]  
Hu H(2019)Response regimes of a linear oscillator with a nonlinear energy sink involving an active damper with delay Nonlinear Dyn 97 1667-1684
[6]  
Dowell EH(2020)Numerical inclusion of exact periodic solutions for time delay Duffing equation J Comput Appl Math 372 112620-2505
[7]  
Virgin LN(2016)Nonlinear vibration and of the Duffing oscillator to parametric excitation with time delay feedback Nonlinear Dyn 85 2497-4493
[8]  
Qiang YH(2012)Parametric resonance in the Rayleigh-Duffing oscillator with time-delayed feedback Commun Nonlinear Sci Numer Simul 17 4485-106
[9]  
Qian YH(2014)Dynamics of a time delayed Duffing oscillator Int J Non-Linear Mech 65 98-387
[10]  
Guo XY(2015)Dynamical properties of Duffing–van der Pol oscillator subject to both external and parametric excitations with time delayed feedback control J Vib Control 21 371-2756