scholarly journals Chaos control in a special pendulum system for ultra-subharmonic resonance

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Xianwei Chen ◽  
◽  
Xiangling Fu ◽  
Zhujun Jing ◽  
Keyword(s):  
Chaos Control ◽  
Subharmonic Resonance ◽  
Pendulum System

Chaos control in a pendulum system with excitations and phase shift

2014 ◽  
Vol 78 (1) ◽  
pp. 317-327 ◽  
Author(s):  
Xianwei Chen ◽  
Zhujun Jing ◽  
Xiangling Fu
Keyword(s):  
Phase Shift ◽  
Chaos Control ◽  
Pendulum System

scholarly journals Chaos control in a pendulum system with excitations

2015 ◽  
Vol 20 (2) ◽  
pp. 373-383
Author(s):  
Xianwei Chen ◽  
◽  
Zhujun Jing ◽  
Xiangling Fu ◽  
Keyword(s):  
Chaos Control ◽  
Pendulum System

Stabilization of 1/3-Order Subharmonic Resonance Using an Autoparametric Vibration Absorber

1999 ◽  
Vol 121 (3) ◽  
pp. 309-315 ◽  
Author(s):  
Hiroshi Yabuno ◽  
Yasuhiro Endo ◽  
Nobuharu Aoshima
Keyword(s):  
Magnetic Force ◽  
Frequency Component ◽  
Harmonic Excitation ◽  
Subharmonic Resonance ◽  
Vibration Absorber ◽  
Spring Stiffness ◽  
Stabilization Method ◽  
Pendulum System ◽  
Main System ◽  
Subharmonic Frequency

The paper proposes a stabilization method for 1/3-Order subharmonic resonance with an autoparametric vibration absorber. A main system with nonlinear spring stiffness and harmonic excitation, i.e., subjected to a sinusoidally changed magnetic force, is introduced as a model which produces 1/3-Order subharmonic resonance. A damped pendulum system, whose natural frequency is in the neighborhood of one-half of the main system, is attached to the main system as an absorber, in order to induce 1:2 internal resonance. The 1/3-Order subharmonic resonance which occurs in the case of locked pendulum is avoided due to energy transfer between the main system and the absorber, and due to energy dissipation by the absorber. It is also theoretically shown that a stable nontrivial steady state with respect to the 1/3-Order subharmonic frequency component is changed into an unstable one due to the absorber. Experimental results show the validity of the autoparametric vibration absorber for the 1/3-Order subharmonic resonance.

Stabilization of 1/3-Order Subharmonic Resonance Using an Autoparametric Absorber

1997 ◽  
Author(s):  
Hiroshi Yabuno ◽  
Yasuhiro Endo ◽  
Nobuharu Aoshima
Keyword(s):  
Magnetic Force ◽  
Frequency Component ◽  
Harmonic Excitation ◽  
Subharmonic Resonance ◽  
Vibration Absorber ◽  
Spring Stiffness ◽  
Stabilization Method ◽  
Pendulum System ◽  
Main System ◽  
Subharmonic Frequency

Abstract The paper proposes a stabilization method for 1/3-order subharmonic resonance with an autoparametric vibration absorber. A main system with nonlinear spring stiffness and harmonic excitation, i.e., subjected to a sinusoidally changed magnetic force, is introduced as a model which produces 1/3-order subharmonic resonance. A damped pendulum system, whose natural frequency is in the neighborhood of one-half of the main system, is attached to the main system as an absorber, in order to induce 1:2 internal resonance. The 1/3-order subharmonic resonance which occurs in the case of locked pendulum is avoided due to energy transfer between the main system and the absorber, and due to energy dissipation by the absorber. It is also theoretically shown that a stable nontrivial steady state with respect to the 1/3-order subharmonic frequency component is changed into an unstable one due to the absorber. Experimental results show the validity of the autoparametric vibration absorber for the 1/3-order subharmonic resonance.

Chaos control of chaotic pendulum system☆

2004 ◽  
Vol 21 (1) ◽  
pp. 201-207 ◽  
Author(s):  
Ruiqi Wang ◽  
Zhujun Jing
Keyword(s):  
Chaos Control ◽  
Pendulum System

Predictor-network-based MRACS for inverted pendulum system.

1991 ◽  
Vol 111 (3) ◽  
pp. 221-229 ◽  
Author(s):  
Motomiki Uchida ◽  
Yukihiro Toyoda ◽  
Yoshikuni Akiyama ◽  
Kazushi Nakano ◽  
Hideo Nakamura
Keyword(s):  
Inverted Pendulum ◽  
Pendulum System ◽  
Inverted Pendulum System

Optimal PID Design Approaches for an Inverted Pendulum System

2016 ◽  
Vol 9 (3) ◽  
pp. 167 ◽  
Author(s):  
Muhammad Sani Gaya ◽  
Anas Abubakar Bisu ◽  
Syed Najib Syed Salim ◽  
I. S. Madugu ◽  
L. A. Yusuf ◽  
...  
Keyword(s):  
Inverted Pendulum ◽  
Pendulum System ◽  
Inverted Pendulum System
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