Parametric Analysis of Gear Mesh and Dynamic Response of Loaded Helical Beveloid Transmission With Small Shaft Angle

A synthesized gear mesh and dynamic model assuming line contact that is derived from a set of manufacturing parameters is formulated for analyzing the beveloid gear mesh-coupling mechanism. Using the proposed model, the effect of the dominant geometry design parameter that is the crossed angle between the first principal directions of the tooth surface curvatures (FPD-angle) on gear mesh characteristic and dynamic response is investigated. Also, the analysis of the gear mesh characteristic and dynamic response subject to torque load variation is performed. It is shown that the dynamic transmission error and dynamic mesh force worsen as the geometry FPD-angle increases for a specific torque load level. Furthermore, even though higher torque load can produce larger contact area, which is desirable, it also increases the gear mesh stiffness and transmission error that tend to aggravate dynamic response.

Dynamics of a Crossed Beveloid Gear Pair with Time-Varying Mesh and Backlash Nonlinearity

A torsional time-varying vibration model of a beveloid gear pair with backlash nonlinearity is formulated. It incorpprates the load-dependant time-varying mesh characteristic vectors and backlash non-linearity. Using the proposed model, the influence of mesh damping and non-linear backlash on beveloid gear dynamics is investigated. Computational results reveal numerous interesting nonlinear characteristics, such as jump discontinuities and chaotic behaviors.

Dynamics of Hypoid Gear Transmission With Non-Linear Time-Varying Mesh

A new generalized 14 degrees-of-freedom dynamic model with coupled translation-rotation effect is developed for simulating the nonlinear vibratory response of hypoid geared rotor systems. The model incorporates the load-dependant time-varying mesh characteristic vectors due to tooth load sharing and profile modifications, backlash non-linearity, and off line-of-action friction forces. Based on the 3-dimensional tooth contact analysis results, the quasi-static mesh characteristics that describe the translation-rotation and rotation-rotation force couplings are obtained for use in the dynamic formulation. The three-dimensional representations of the mesh vectors, normal and friction forces, and moments generated at the mesh interface are also included in the proposed study. Tooth separation and the occurrence of jump phenomenon observed in the predicted frequency response functions are analyzed.