Applied Mathematics and Nonlinear Sciences (Jan 2023)

Geometric Tolerance Control Method for Precision Machinery Based on Image Modeling and Novel Saturation Function

  • Yue Yuanyuan

DOI
https://doi.org/10.2478/amns.2022.2.0134
Journal volume & issue
Vol. 8, no. 1
pp. 1455 – 1466

Abstract

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Research on the geometric tolerance control method of precision machinery based on image modeling and new saturation function. First, image-based modeling techniques provide a new way to control the saturation function with a dynamic boundary layer from a computer graphics perspective. Then, it proposes a method to represent the dimensional and geometric tolerances of precision machines using changes in the position of control points of geometric elements. Finally, the main content of the tolerance analysis method based on Monte Carlo simulation is proposed, that is, the position of the azimuth control point of all geometric elements on the measurement chain is determined experimentally by using a random number generator. Experiments have shown that the nominal distance between the control points is the nominal size of the geometric elements, and by comparing the variation of the control points with the nominal distance of the control points, it is easy to determine the relationship between tolerance and tolerance. accuracy.

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