The effect of the damping coefficients has been considered to estimate the torsional vibration of the multi-branch gears systems. In this paper, the effect of the viscous damping between the gears and the fluid in which the gear is working and the effect of the structural damping of the shafts in a three-branched gear system is investigated. Initially, the governing equations were derived and then the damping effects were studied using MATLAB code. In order to validate the results which prepared by MATLAB code are compared with the other computational methods. To investigate the effects of the stiffness and damping on the shafts and gears, different gear branch systems are considered. Some of the vibration results on the damped gear branched systems with viscous damper and structural damper are analyzed and discussed.
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