Abstract
A comparison among different approaches of the meshing stiffness of spur gears has been carried out. The influence of each one on the load sharing, and subsequently on the determinant tooth-root and contact stresses, has also been studied. Equations for the evolution of the meshing stiffness along the path of contact according to all these formulations are also provided.
Highlights
Methods for the evaluation of the load carrying capacity in gear rating standards [1, 2] are usually based on simple models of the theory of elasticity -Hertzian contact stress, Navier‟s bending stress, etc., which are applied to the critical load conditions to provide the determinant contact and tooth-root stresses
As the load sharing is governed by the evolution of the meshing stiffness (MS) along the path of contact, a reliable evaluation of the MS is essential for accurate calculation of the load carrying capacity
These results prove the accuracy of the approximate equations, fully acceptable for strength calculations
Summary
Methods for the evaluation of the load carrying capacity in gear rating standards [1, 2] are usually based on simple models of the theory of elasticity -Hertzian contact stress, Navier‟s bending stress, etc.-, which are applied to the critical load conditions to provide the determinant contact and tooth-root stresses. The authors [7-9] presented an approximate equation, of high accuracy and very simple formulation, which expresses the MS as a function of the contact ratio, exclusively It was useful for strength calculations because the analytic formulation allowed to compute the critical bending and contact stresses by means of simple mathematical procedures [10-13]. The load sharing ratio (LSR) curves obtained from each approach are compared and their influence on the determinant stresses are discussed. Values for two coefficients fitting the approximate equation to each MS approach are provided
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