This paper determines the vibration response of a multistage automotive transmission helical gearbox, whose three gears are under synchro-meshed conditions. The authors [1] have already reviewed all the time-varying parameters which play the principal role in exciting noise and vibration in helical gears. An algorithm [2] has also been proposed to determine parameters such as contact line variation, gear mesh stiffness and damping, and friction force and torque in a helical gear pair. These parameters are non-linear and periodic in nature, hence are expressed as fourier series functions. A torsional model of the multi-stage gearbox is formulated, whose constitutive equations contain these parameters as coefficients. The resulting 2nd order non-linear differential equation is solved using Harmonic Balance Method. An experimental setup, described in Ref. [3], is used for measuring the vibration level of the gearbox and used for validation purpose.

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