The detailed calculation and analysis have been performed on the external meshing process of involute spur cylindrical gear pairs in the light of Herz formulae and gear meshing principle. Analysis results state that the related contact stress calculations in National Standards (GB) have the limitation. In this paper, the location of the maximum contact stresses of involute spur cylindrical gears in the meshing process has been confirmed firstly and definitely and is validated by finite element analysis. These analysis data offer a guide to the optimal design of involute spur cylindrical gear pairs.

The elastic approach of a w roller compressed by two flat plates is a basic building block in roller bearing design. According to the theory of contact mechanics, a finite element (FE) model was established in this paper to study the contact problem of a hollow roller. Research results show that deformation of the hollow roller due to contact has a strong relationship with roller's hollowness ratio. A new equation for calculating the contact deformation of a hollow roller is proposed. In addition, it is found that the accuracy of existing calculation method for bending deformation is also worth studying, and a new equation for calculating bending deformation of a hollow roller is established by data fitting. The experimental results are also presented to support the results of this work.

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