Study on chaos of nonlinear suspension system with fractional-order derivative under random excitation

被引：39
作者：
Chen, Enli [1 ,2 ]
Xing, Wuce [3 ]
Wang, Meiqi [1 ,2 ]
Ma, Wenli [1 ,2 ]
Chang, Yujian [1 ,4 ]
机构：
[1] Shijiazhuang Tiedao Univ, State Key Lab Mech Behav & Syst Safety Traff Engn, Shijiazhuang 050043, Hebei, Peoples R China
[2] Shijiazhuang Tiedao Univ, Sch Mech Engn, Shijiazhuang 050043, Hebei, Peoples R China
[3] Northeastern Univ, Dept Mech, Shenyang 110819, Liaoning, Peoples R China
[4] Shijiazhuang Tiedao Univ, Sch Elect & Elect Engn, Shijiazhuang 050043, Hebei, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 152卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear suspension; Fractional differential; Random Melnikov method; Chaotic motion; QUARTER-CAR; STABILITY; MODEL; BIFURCATION; RESONANCE;
D O I：
10.1016/j.chaos.2021.111300
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The chaotic motion of a suspension system with fractional order differential under random excitation is studied. The critical condition of chaos in the mean square sense of suspension system is derived by using random Melnikov method. The function relationship between the parameters of suspension system and chaos threshold is established. The boundary curve of chaos is obtained. The influence of fractional differential parameters on chaos boundary curve is studied. The numerical simulation of fractional order suspension system is carried out, and the time domain diagram and frequency of the system are calculated the spectrum, phase plane, Poincare section and the maximum Lyapunov exponent were obtained. The results show that there is chaotic motion in the suspension system with fractional differential under random road excitation, and the coefficient and order of fractional differential term will change the boundary conditions of chaos. (c) 2021 Elsevier Ltd. All rights reserved.
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页数：9
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