STABILITY, BIFURCATION, AND CHAOS OF A STRUCTURE WITH A NONLINEAR ACTUATOR

被引：2
作者：
TSENG, CY
TUNG, PC
机构：
[1] Department of Mechanical Engineering, National Central University, Chung-Li
来源：
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS | 1995年 / 34卷 / 7A期
关键词：
BIFURCATION; CHAOTIC MOTION; FRACTAL; MELNIKOV THEORY; HARMONIC BALANCE; FLOQUET THEORY;
D O I：
10.1143/JJAP.34.3766
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this work, the steady-state behaviors of astructure with a nonlinear actuator subjected to linear feedback control are investigated analytically. We apply the methods of harmonic balance. Floquet theory, and Melnikov theory with the assistance of numerical computations to plot the global bifurcation diagram in parametric space. Attention is focused on the effects of feedback gains on qualitative behaviors such as the stability of steady-state solutions, chaotic vibrations, fractal basin boundaries, jump phenomena, and the control effectiveness in terms of amplitude modulation.
引用
收藏
页码：3766 / 3774
页数：9
相关论文
共 50 条
[41]   Bifurcation and chaos in power systems [J].
Gugushvili, AS ;
Dalakishvili, GN ;
Gomareli, NM ;
Kekenadze, VM .
CONTROL OF OSCILLATIONS AND CHAOS - 1997 1ST INTERNATIONAL CONFERENCE, PROCEEDINGS, VOLS 1-3, 1997, :349-353
[42]   Bifurcation and chaos in a macroeconomic model [J].
Li, Wei ;
Zhao, Junfeng .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2006, 7 (04) :431-434
[43]   Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow [J].
FangQi Chen ;
LiangQiang Zhou ;
YuShu Chen .
Science China Technological Sciences, 2011, 54 :1954-1965
[44]   Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow [J].
Chen FangQi ;
Zhou LiangQiang ;
Chen YuShu .
SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2011, 54 (08) :1954-1965
[45]   Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow [J].
CHEN FangQi ZHOU LiangQiang CHEN YuShu Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing China Department of Mechanics Tianjin University Tianjin China Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control Tianjin China .
Science China(Technological Sciences), 2011, (08) :1954-1965
[46]   STABILITY, BIFURCATION, AND CHAOS CONTROL OF PREDATOR-PREY SYSTEM WITH ADDITIVE ALLEE EFFECT [J].
Ahmed, R. ;
Akhtar, S. ;
Farooq, U. ;
Ali, S. .
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2023,
[47]   Discrete-time COVID-19 epidemic model with chaos, stability and bifurcation [J].
Al-Basyouni, K. S. ;
Khan, A. Q. .
RESULTS IN PHYSICS, 2022, 43
[48]   Stability, bifurcation and transition to chaos in a model of immunosensor based on lattice differential equations with delay [J].
Martsenyuk, Vasyl ;
Klos-Witkowska, Aleksandra ;
Sverstiuk, Andriy .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (27) :1-31
[49]   Stability switches, Hopf bifurcation and chaos of a neuron model with delay-dependent parameters [J].
Xu, X. ;
Hu, H. Y. ;
Wang, H. L. .
PHYSICS LETTERS A, 2006, 354 (1-2) :126-136
[50]   Bifurcation and chaos analysis of a nonlinear electromechanical coupling transmission system driven by AC asynchronous motor [J].
Liu, Shuang ;
Li, Xue ;
Zhao, Shuangshuang ;
Li, Haibin .
INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2015, 47 (03) :705-717
12345