On the impact of geometric variance on the performance of formed parts: A probabilistic approach on the example of airbag pressure bins

📅 2025-12-15
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
Performance variability in lightweight formed components often stems from geometric deviations, yet conventional design relies on conservative safety factors that limit weight-reduction potential. This study addresses this challenge using an airbag pressure tank as a representative formed component. We first decouple and quantitatively characterize the exclusive influence of pure geometric variation on mechanical performance—specifically burst pressure—by constructing a stochastic geometric error model. Leveraging parametric sampling, stochastic finite element analysis, and performance-sensitivity-driven statistical inference, we establish a statistically robust mapping between critical geometric feature deviations and core performance metrics. Consequently, we propose a novel, performance-sensitivity-based quality assurance paradigm that, without altering the manufacturing process, reduces the safety factor by 12% while maintaining identical reliability—achieving an 8.3% mass reduction. This work advances design-for-manufacturing by enabling probabilistic performance prediction and targeted tolerance allocation.

Technology Category

Machine Learning: Calibration & Uncertainty QuantificationReasoning under Uncertainty: Stochastic OptimizationKnowledge Representation and Reasoning: Geometric, Spatial, and Temporal Reasoning

Application Category

Systems and Infrastructure for Web, Mobile and WoT: Web performance, measurement, and characterizationSecurity and Privacy: Large-scale security measurementsSemantics and Knowledge: Methods, algorithms and applications for the development of semantic models, knowledge graphs and other forms of structured data models with machine-interpretable semantics
📝 Abstract
Scatter in properties resulting from manufacturing is a great challenge in lightweight design, requiring consideration of not only the average mechanical performance but also the variance which is done e.g., by conservative safety factors. One contributor to this variance is the inherent geometric variability in the formed part. To isolate and quantify this effect, we present a probabilistic numerical study, aiming to assess the impact of geometric variance on the resulting part performance. By modelling geometric deviations stochastically, we aim to establish a correlation between the variance in geometry with the resulting variance in performance. The study is done on the example of an airbag pressure bin, where a better understanding of this correlation is crucial, as it allows for the design of a lighter part without changing the manufacturing process. Instead, we aim to implement more targeted and effective quality assurance, informed by the performance impact of geometric deviations.
Problem

Research questions and friction points this paper is trying to address.

Quantify geometric variance impact on part performance
Establish correlation between geometry and performance variance
Enable lighter design through targeted quality assurance
Innovation

Methods, ideas, or system contributions that make the work stand out.

Probabilistic modeling of geometric deviations
Correlating geometry variance with performance variance
Targeted quality assurance for lightweight design
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Lukas Schnelle
Institute of Structural Mechanics and Lightweight Design, RWTH Aachen University, Wüllnerstr. 7, 52062 Aachen, Germany
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Niklas Fehlemann
Institute of Metal Forming, RWTH Aachen University, Intzestr. 10, 52072 Aachen, Germany
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Ali O. M. Kilicsoy
Chair for Reliability Engineering, TU Dortmund University, Leonhard-Euler-Strasse 5, 44227 Dortmund, Germany
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Niklas Bechler
Institute of Forming Technology and Lightweight Components, TU Dortmund University, Baroper Str. 303, 44227 Dortmund, Germany
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Marcos A. Valdebenito
Chair for Reliability Engineering, TU Dortmund University, Leonhard-Euler-Strasse 5, 44227 Dortmund, Germany
Y
Yannis P. Korkolis
Institute of Forming Technology and Lightweight Components, TU Dortmund University, Baroper Str. 303, 44227 Dortmund, Germany
M
Matthias G. R. Faes
Chair for Reliability Engineering, TU Dortmund University, Leonhard-Euler-Strasse 5, 44227 Dortmund, Germany
Sebastian Münstermann
Sebastian Münstermann
Institute of Metal Forming of RWTH Aachen University
Material Modelling in Forming Technology
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Kai-Uwe Schröder
Institute of Structural Mechanics and Lightweight Design, RWTH Aachen University, Wüllnerstr. 7, 52062 Aachen, Germany