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April 30, 2026Fractal and FractionalOpen Access

Multi-Scale Digital Modeling of Precision Assembly Interfaces for Tolerance Analysis Using a Fractal-Wavelet Approach

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Authors

WTWenbin TangMZMin ZhangXJXingchen Jiang

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Overview

Randomized trial demonstrates improved assembly accuracy in high-precision machinery, indicating a novel modeling approach.

Key Points

  • This research aims to develop a multi-scale digital modeling method for tolerance analysis in precision assembly interfaces.
  • Constructed a multi-fractal topography model using Weierstrass–Mandelbrot functions with varying fractal dimensions.
  • Employed wavelet functions for hierarchical decomposition of topography height fields.
  • Introduced an adaptive separation criterion using wavelet energy K-means clustering to optimize scale classifications.
  • The resulting model preserves 94.8% of original energy while significantly reducing convex peak count by over 90%.
  • The method simplifies the interface microstructure for tolerance computations.
  • Maximized silhouette coefficient effectively determines the optimal number of scale classes.

Cite This Study

Tang et al. (2026) studied this question.

synapsesocial.com/papers/69f2f1be1e5f7920c63875aehttps://doi.org/10.3390/fractalfract10050295
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