Nonlinear Dynamics and Control in an Automotive Brake System
Shun-Chang Chang* and Jui-Feng Hu
Department of Mechanical and Automation Engineering, Da-Yeh University, Changhua 51591, Taiwan
- *Corresponding Author:
- Shun-Chang Chang
Department of Mechanical and Automation Engineering
Da-Yeh University, Changhua 51591, Taiwan
E-mail: [email protected]
Received April 05, 2016; Accepted April 26, 2016; Published April 28, 2016
Citation:Chang SC, Hu JF (2016) Nonlinear Dynamics and Control in an Automotive Brake System. Adv Automob Eng 5:135 doi:10.4172/2167-7670.1000135
Copyright: © 2016 Chang SC. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Brake squeal is a manifestation of friction-induced self-excited instability in disc brake systems. This study investigated non-smooth bifurcations and chaotic dynamics in disc brake systems and elucidated a chaotic control system. Decreasing squeal noise which is dependent on chaos, increases passengers comfort; consequently, suppressing chaos is crucial. First, synchronization was used to estimate the largest Lyapunov exponent to identify periodic and chaotic motions. Next, complex nonlinear behaviors were thoroughly observed for a range of parameter values in the bifurcation diagram. Rich dynamics of the disc brake system were studied using a bifurcation diagram, phase portraits, a Poincaré map, frequency spectra, and Lyapunov exponents. Finally, the proposed technique was applied to a chaotic disc brake system through the addition of an external input that is a dither signal. Simulation results demonstrated the feasibility of the proposed approach.