Dynamic Analysis of Layshaft Gears in Automotive Transmission

In this paper, we will present parametric results of performing dynamic analysis of layshaft gear trains typically used in automotive transmissions with emphasis on the vibratory response due to transmission error excitation. A three-dimensional multiple degrees of freedom lumped parameter dynamic model of a generic layshaft type geared rotor system (with three parallel rotating shafts coupled by two sets of gear pairs) has been formulated analytically. The model includes the effects of both rotational and translational displacements of each gears, and bounce and pitch motions of the counter-shaft. The natural frequencies and mode shapes are computed numerically by solving an eigenvalue problem derived from applying harmonic solutions to the equations of motion. The complete set of mode shapes are then used in forced response calculations based on the modal expansion method to predict gear accelerations, dynamic transmission errors, mesh force and bearing loads. Structural resonance prediction is validated by comparison to finite element result of a baseline system. The proposed model is also used to examine the effects of system parameters such as counter-shaft diameter and bearing stiffnesses on the dynamic response due to transmission error excitation. Results of these two case studies are discussed in this article.