One of the most important measures of transmission performance is the gear tooth root stress (TRS). High root stress can directly damage the gear tooth and indirectly affect the life of the gear. This paper considered reducing the stresses in the base of the change in the gear profile. Accurate calculation of the maximum tooth root stress (TRS) and deflection is fundamental to the prediction and optimization of gears. The Finite Element Method (FEM) gives accurate results. But, the calculation requires a lot of resources and time. Moreover, the results obtained from the Lewis, the ISO, and the AGMA methods were useful. This paper approved the results of the new method as useful as other methods. Therefore, in the current results, a new analytical method based on mechanic theory is created using exact profile equations to calculate stress and deflection. Firstly, the load sharing ratio is considered using the Taguchi method. Finally, tooth root stress and deflection are calculated from this profile. The result of tooth root stress obtained from the new method is compared with the FEM method. The result of the new method is found the consistent with FEM method.
deflection, load sharing ratio, spur gear, tooth root stress (TRS)
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