Investigating Bifurcation and Chaos Phenomenon in Nonlinear Vibration of Gear System Using Approximation of Backlash with Smoothing Function
[1]
Mohammad Amin Rashidifar, Department of Mechanical Engineering, Islamic Azad University, Shadegan Branch, Shadegan, Iran.
[2]
Ali Amin Rashidifar, Department of Mechanical Engineering, Islamic Azad University, Shadegan Branch, Shadegan, Iran.
Many researchers have investigated gear system, using numerical and approximation methods such as piecewise linear technique. It should, however, be noted that these methods cannot predict some of the important nonlinear phenomena, such as sub-harmonic and chaotic responses. For specific values of parameters, the system becomes chaotic, when the system has chaotic response; vibrations are in large amplitude and unpredictable. In this paper, nonlinear vibration of gear system and their chaotic behavior are discussed. Gear models, assuming the presence of backlash and approximation with smoothing function, are represented, and bifurcation and chaos in these models are investigated. Most parameters, which affect the chaotic behavior of the system using bifurcation diagrams, have been established and based on these results, the system has been designed.
Chaos, Bifurcation, Backlash, Nonlinear Vibration of Gear
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