Graphoanalytical method of defining the limiting ratio of drawing the workpieces from the tapered thickness blanks

Following the solution of the equilibrium differential equation for the flange of the disk-shaped blank, the thickness of which changes by the law of the logarithmic n-power polynomial in the direction from the center to the edge, we obtained analytic dependences for estimating the limiting drawing ratio. Through these dependences we calculated the specific values of the limiting drawing ratios for two variations (n = 1, n = 2) of the logarithmic thickness distribution law, for which the maximum possible values are realized. The article compares the obtained marginal coefficient values with the values for the power-series distribution of the concave parabola kind and the linear law of thickness distribution. We analyze the impact of the flange shift on the peculiar features of the meridional stress distribution in it and show how to use these distributions for estimating the limiting drawing ratio with the arbitrary law of changing the thickness of the workpiece flange.

References

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