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Mathematical Modeling of the Roundness for Plastic Injection Mold Parts with Complicated 3D curvatures  

Yoon, Seon Jhin (DPAMSTECH Co., Ltd.)
Publication Information
Design & Manufacturing / v.13, no.2, 2019 , pp. 6-11 More about this Journal
Abstract
In this study, we constructed the mathematical model to evaluate the roundness for plastic injection mold parts with complicated 3D curvatures. Mathematically we started off from the equation of circle and successfully derived an analytical solution so as to minimize the area of the residuals. On the other hand, we employed the numerical method the similar optimization process for the comparison. To verify the mathematical models, we manufactured and used a ball valve type plastic parts to apply the derived model. The plastic parts was fabricated under the process conditions of 220-ton injection mold machine with a raw material of polyester. we experimentally measured (x, y) position using 3D contact automated system and applied two mathematical methods to evaluated the accuracy of the mathematical models. We found that the analytical solution gives better accuracy of 0.4036 compared to 0.4872 of the numerical solution. The numerical method however may give adaptiveness and versatility for optional simulations such as a fixed center.
Keywords
Curvatures; Injection Mold; Modeling; Plastics; Roundness;
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