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Uncertainty Aware Functional Behavior Prediction and Material Fatigue Assessment for Circular Factory

Summary

This paper proposes a framework that combines uncertainty-aware functional prediction with component-level fatigue assessment to support reuse decisions for returned products in circular factories. Using an angle grinder as a case study, a convolutional encoder extracts loading patterns, an LSTM predicts nine functional variables with uncertainty, and parallel finite-element-based fatigue analysis evaluates output shaft damage. Tests show 96.52% mean accuracy, near-perfect thermal prediction, and most challenging outputs being motor current and load speed.

SourcearXiv AIAuthor: Nehal Afifi, Mehdi Khabou, Victor Mas, Jonas Hemmerich, Patric Grauberger, Stefan Dietrich, Volker Schulze, Sven Matthiesen
Uncertainty Aware Functional Behavior Prediction and Material Fatigue Assessment for Circular Factory
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[2606.05334] Uncertainty Aware Functional Behavior Prediction and Material Fatigue Assessment for Circular Factory

[Submitted on 3 Jun 2026]

Title:Uncertainty Aware Functional Behavior Prediction and Material Fatigue Assessment for Circular Factory

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Abstract:Returned products in circular factories re-enter production with heterogeneous degradation states, usage histories, and remaining capability. Reuse cannot be decided from the current inspection alone, because future function fulfillment and component integrity may evolve differently under the next service scenario. Existing PHM approaches support degradation prediction, but often target fixed operating conditions or isolated component benchmarks, while material-fatigue assessment is rarely linked to system-level functional prognosis. This paper addresses this gap for an angle grinder by combining uncertainty-aware functional prediction with component-level fatigue assessment in an instance-specific reliability workflow. The proposed framework combines the current tool state with recent force--torque usage windows. A convolutional encoder extracts loading patterns from spindle forces and shaft torque, and an LSTM backbone predicts nine functional variables as Gaussian mean and variance estimates. In parallel, the same loading history is translated into output-shaft fatigue information through finite-element-supported stress reconstruction, S--N/Miner damage evaluation with Haibach extension, and Paris-law crack-growth analysis. A streaming replay algorithm consolidates both branches into functional, material, and system reliability trajectories. Held-out tests show mean \(2\%\)-tolerance accuracy of 0.9652 across nine outputs. Thermal variables are predicted near-perfectly, while drive motor current and load speed remain the most demanding dynamic outputs, with \(R^2\) values of 0.9750 and 0.9924. Torque history is especially important for these variables, and the conventional LSTM outperforms GRU and xLSTM in the short-history setting. Reliability calibration is most informative for drive motor current, where predicted and observed exceedance probabilities ...

Comments: 27 pages, submitted to the Journal of Manufacturing Systems' special issue about circular factories, the manuscript is under review

Subjects:

Artificial Intelligence (cs.AI)

Cite as: arXiv:2606.05334 [cs.AI]

(or arXiv:2606.05334v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2606.05334

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Nehal Afifi Na [view email] [v1] Wed, 3 Jun 2026 18:23:30 UTC (40,127 KB)

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Key points and analysis

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EngineersIntermediate

Key points

  • Returned products in circular factories have heterogeneous degradation states; current methods lack integrated functional and fatigue assessment.
  • Framework uses current tool state and torque windows: LSTM predicts functional variables with uncertainty, while fatigue is assessed via stress reconstruction and damage models.
  • On an angle grinder, average accuracy across nine outputs is 0.9652; thermal variables are predicted perfectly; torque history crucial for dynamic outputs.
  • Conventional LSTM outperforms GRU and xLSTM in short-history setting; motor current reliability calibration is most informative.

Highlights and analysis are generated automatically and may contain errors. Check the original source.