DEVELOPMENT OF A LOAD DISTRIBUTION PROGRAM FOR CYLINDRICAL GEAR PAIRS

Date

2025-11-26

Author

Yaman, Hayati

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In this study, a three-dimensional helical gear contact model with lumped parameters is used to determine the non-uniform quasi-static load distribution along the contact lines over a mesh period. In the lumped parameter model, the net effect of load distribution is lumped into a point denoted as the center of stiffness. A translational stiffness along the line of action and a twist stiffness are attached to the center of stiffness that resist the net force and moment due to the load distribution at an arbitrary instant. The moment produced by the twist-stiffness results in a spread or contraction at the contact point, depending on its location, which leads to partial or total loss of contact along the contact line. Since the coordinates of the center of stiffness, as well as the translational and twist stiffness values, depend on the relative displacements between the pinion and gear, the contact problem introduces nonlinearity. The bending and shear deformations of the gear tooth are taken into consideration by using the Rayleigh-Ritz method on a tapered plate model. The mode shapes of a clamped-free and free-free beam are used as trial functions, respectively, along the directions of the tooth and the face width. To account for contact compliance, a Hertzian-based contact stiffness model is used. Both pinion and gear are mounted on rigid shafts, and flexible bearings support the shafts at both ends. The bearing stiffnesses are also considered for the distribution problem. The load distribution problem is solved by using fixed-point iteration, which is a more efficient algorithm than the traditional simplex method, since it converges faster and avoids the step-by-step elimination of contact points required in the simplex algorithm.

Subject Keywords

Mesh Stiffness, Helical Gear, Nonlinear Contact, Load Distribution

URI

https://hdl.handle.net/11511/118264

Collections

Graduate School of Natural and Applied Sciences, Thesis