Harvesting Energy from Chaotic Vibration

2020 ◽  
pp. 165-175
Author(s):  
Jin Xie ◽  
Jian-qi Zhang ◽  
Zhao-hui Liu
Keyword(s):  
Chaotic Vibration

Suppressing Chaos in a Nonideal Double-Well Oscillator Using an Based Electromechanical Damped Device

2014 ◽  
Vol 706 ◽  
pp. 25-34 ◽  
Author(s):  
G. Füsun Alişverişçi ◽  
Hüseyin Bayiroğlu ◽  
José Manoel Balthazar ◽  
Jorge Luiz Palacios Felix
Keyword(s):  
Numerical Simulations ◽  
Chaotic Dynamics ◽  
Duffing Oscillator ◽  
Vibration Energy ◽  
Vibration Absorber ◽  
Electrical System ◽  
Chaotic Vibration ◽  
System A ◽  
Ideal System ◽  
Double Well Potential

In this paper, we analyzed chaotic dynamics of an electromechanical damped Duffing oscillator coupled to a rotor. The electromechanical damped device or electromechanical vibration absorber consists of an electrical system coupled magnetically to a mechanical structure (represented by the Duffing oscillator), and that works by transferring the vibration energy of the mechanical system to the electrical system. A Duffing oscillator with double-well potential is considered. Numerical simulations results are presented to demonstrate the effectiveness of the electromechanical vibration absorber. Lyapunov exponents are numerically calculated to prove the occurrence of a chaotic vibration in the non-ideal system and the suppressing of chaotic vibration in the system using the electromechanical damped device.

Characterization of chaotic vibration without system equations

1997 ◽  
Vol 32 (3) ◽  
pp. 547-562 ◽  
Author(s):  
Katsutoshi Yoshida ◽  
Keijin Sato ◽  
Sumio Yamamoto ◽  
Kazutaka Yokota
Keyword(s):  
Chaotic Vibration ◽  
System Equations

Chaotic Vibration of a Two-dimensional Non-strictly Hyperbolic Equation

2018 ◽  
Vol 61 (4) ◽  
pp. 768-786 ◽  
Author(s):  
Liangliang Li ◽  
Jing Tian ◽  
Goong Chen
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Hyperbolic Equation ◽  
Method Of Characteristics ◽  
Nonlinear Boundary ◽  
Chaotic Oscillation ◽  
Nonlinear Boundary Conditions ◽  
Rigorous Proof ◽  
Two Dimensional ◽  
Chaotic Vibration

AbstractThe study of chaotic vibration for multidimensional PDEs due to nonlinear boundary conditions is challenging. In this paper, we mainly investigate the chaotic oscillation of a two-dimensional non-strictly hyperbolic equation due to an energy-injecting boundary condition and a distributed self-regulating boundary condition. By using the method of characteristics, we give a rigorous proof of the onset of the chaotic vibration phenomenon of the zD non-strictly hyperbolic equation. We have also found a regime of the parameters when the chaotic vibration phenomenon occurs. Numerical simulations are also provided.

Energy Harvesting from Chaotic Vibration

2021 ◽  
Author(s):  
Luã Guedes Costa ◽  
Eduardo Villela Machado dos Reis ◽  
Marcelo Savi
Keyword(s):  
Energy Harvesting ◽  
Chaotic Vibration

Chaotic Vibration in Aircraft Braking Systems

1995 ◽  
Author(s):  
M. Akif Özbek ◽  
Steve Y. Liu ◽  
James T. Gordon ◽  
David S. Newman ◽  
Ali R. Atilgan
Keyword(s):  
Time Delay ◽  
Singular System ◽  
High Amplitude ◽  
Vibration Modes ◽  
Chaotic Vibration ◽  
Chaotic Region ◽  
Wide Range ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration ◽  
Model Equations

Abstract Typical vibration modes of aircraft braking systems are discussed in this paper. Special attention is given to squeal vibrations of carbon brakes. From flight tests, a wide range of response amplitudes are analyzed to determine the nature of the motion. Fourier analysis indicates the presence of a high amplitude limit cycle which seems to be initiated by a transient chaotic region. A singular system approach based on a time delay embedding confirms this finding. Time delay analysis makes it possible to contruct model equations via which intrinsic dynamics of the system can be recovered, and opens up the possibility of preventing large amplitude vibration by controlling the chaotic motion.

A new fractional study on the chaotic vibration and state-feedback control of a nonlinear suspension system

2020 ◽  
Vol 132 ◽  
pp. 109530 ◽  
Author(s):  
Malik Zaka Ullah ◽  
Fouad Mallawi ◽  
Dumitru Baleanu ◽  
Ali Saleh Alshomrani
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Suspension System ◽  
State Feedback Control ◽  
Chaotic Vibration

Prospect of Applying Controlling Chaotic Vibration in the Waterborne-Noise Confrontation

2001 ◽  
Author(s):  
Rong-Jun Jiang ◽  
Shi-Jian Zhu ◽  
Lin He ◽  
Wei-Jian Qian
Keyword(s):  
Single Frequency ◽  
Controlling Chaos ◽  
Duffing System ◽  
Chaotic Vibration ◽  
Frequency Output ◽  
Broadband Frequency

Abstract This paper taking the Duffing system with nonlinear soft stiffness as an example, discusses the possibility of applying the chaotic phenomenon to get a broadband frequency output for a single frequency input. Thereby proves the application value of controlling chaos in the waterborne-noise confrontation.

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