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Modeling and Analysis of Rotary Mechanical Systems Linked Through a U-joint

Masoud SoltanRezaee 1, Mohammad-Reza Ghazavi 1, Asghar Najafi 2, and Wei-Hsin Liao 3
1. Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran
2. Department of Mechanical Rotary Equipment, Niroo Research Institute, Tehran, Iran
3. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong, China

Abstract—Utilizing the U-joint is the most usual and familiar way to connect rotating shafts, which are at an angle with each other. Although, this mechanical coupling has various advantages, converts a constant input velocity to a fluctuating output one. Consequently, this produces resonance conditions in the power transmission system of vehicles. In this study, the vibrations of drivetrains are considered to examine the system torsional behaviors. Here, the derived mathematical model is investigated by means of Floquet theory. Furthermore, the acquired results are validated analytically by applying the frequency analysis. In order to examine the influence of different parameters on the vibrations, the unstable zones are identified and analyzed. In addition, the effects of joint angle and shaft length are investigated. The obtained model is useful to simulate the torsional behaviors of various two-axis power transmission systems and identify the resonance conditions. 

Index Terms—rotary systems, analysis, system modeling, vibration

Cite: Masoud SoltanRezaee, Mohammad-Reza Ghazavi, Asghar Najafi, and Wei-Hsin Liao, "Modeling and Analysis of Rotary Mechanical Systems Linked Through a U-joint," International Journal of Mechanical Engineering and Robotics Research, Vol. 8, No. 3, pp. 459-465, May 2019. DOI: 10.18178/ijmerr.8.3.459-465