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The degree of metal plastic deformation is clearly the largest in fillet parts of the dedendum. In this position, the severe deformation element extrudes deeper into the element in the simulation.
The degrees of metal plastic flow and uneven plastic deformation are the highest at the dedendum, followed by the pitch circle, and are the smallest at the tooth top.
(4) At the same roll-beating speed, the rate change trend of the metal flow gradually decreases along the direction of the surface to the inner layer from the dedendum to the addendum and is the highest at the fillet parts of the dedendum.
Fitting for formula (1), establish a relationship model between the peak residual compressive stress and the parameter of cold roll-beating of the three positions in the spline tooth profile at the dedendum, pitch, and addendum.
The model of the peak value of compressive residual stress of the dedendum is expressed as follows:
When the cold roll-beating's rotational speed is constant, the increase in the residual stress peak with an increase in the feed rate is large, especially in the dedendum part.
Fitting for formula (1) establishes a relationship model between the residual compressive stress layer depths and the parameter of cold roll-beating of the three positions in the spline tooth profile at the dedendum, pitch, and addendum.
The correlation coefficients [R.sup.2] for the dedendum, pitch, and addendum are 96.76%, 88.25%, and 93.21%, respectively, which indicate that the fitting results are accurate.
According to the calculation results, the maximum relative error of the residual stress peak value between the predicted results and the experimental results in the dedendum is 2.38%.
According to the calculation results, the maximum relative error of the residual compressive stress layer depth between the predicted results and the experimental results in the dedendum is 6.5%.
(2) The residual compressive stress at the dedendum is higher than the residual compressive stress at the pitch and the addendum, and the smallest residual compressive stress is attained at the addendum.