Predicting Sheet-Metal Part Form Deviation Using Discrete Inspection Points

Procedia CIRP Pub Date : 2026-01-01 Epub Date: 2026-08-05 DOI:10.1016/j.procir.2026.03.127
David Renborg, Peter Edholm, Maria Andrén, Kristina Wärmefjord, Lars Lindkvist, Rikard Söderberg
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Abstract

In high-volume automotive production there is a need to describe the geometry of a part more accurately in early product-realization phases, when comprehensive measurement data are not yet available at scale, so that large-scale statistical variation analyses can be run quickly with simplified yet credible models. This paper proposes a method to predict part shape from sparse information by optimizing both the number and placement of inspection points subject to a defined accuracy threshold. Two production body-in-white parts, a compact inner d-pillar and a large outer fender, were 3D scanned with a Nikon H120 blue-laser high-precision scanner and compared against finite-element (FE) simulation models. The surface is reconstructed by combining the mesh and stiffness matrix of an FE-based material model implemented in a computer-aided tolerancing (CAT) software, RD&T, and the method is commissioned/validated against the scan. The study is experimental: a high-density scan is used as reference to evaluate how accurately sparse point constraints can reconstruct the full-field deformation. An error-driven greedy algorithm is used to iteratively select additional inspection points at locations where the current reconstruction deviates most from the scanned geometry, until the accuracy criterion is satisfied while minimizing model size and computation time.
Results indicate a correlation between the 3D-scanned geometry and the simulation-based reconstructions, demonstrating that the approach can reproduce part shape with reasonable precision for early-phase analyses. The method enables rapid simulations on large populations of parts with a reduced model that remains accurate enough to support decision-making in tolerancing and variation analysis. The reduced model is compatible with standard non-rigid Monte Carlo variation simulations in RD&T, enabling fast early-phase tolerance studies on large virtual populations of parts.
用离散检测点预测钣金件形状偏差
在大批量汽车生产中,在尚未大规模获得全面测量数据的早期产品实现阶段,需要更准确地描述零件的几何形状,以便使用简化但可靠的模型快速运行大规模统计变异分析。本文提出了一种基于稀疏信息的零件形状预测方法,该方法在确定精度阈值的前提下,通过优化检查点的数量和位置来预测零件形状。使用尼康H120蓝光高精度扫描仪对两个白车身生产部件(紧凑的内d柱和大型外护舷)进行了3D扫描,并与有限元(FE)仿真模型进行了比较。在计算机辅助公差(CAT)软件RD&;T中,通过结合基于fe的材料模型的网格和刚度矩阵来重建表面,并根据扫描结果对该方法进行委托/验证。该研究是实验性的:以高密度扫描为参考,评估稀疏点约束如何准确地重建全场变形。采用误差驱动的贪心算法,在当前重建与扫描几何形状偏离最大的位置迭代选择附加检测点,直到满足精度标准,同时最小化模型尺寸和计算时间。结果表明,三维扫描几何形状与基于仿真的重建之间存在相关性,表明该方法可以以合理的精度再现零件形状,用于早期分析。该方法能够对大量零件进行快速仿真,简化后的模型保持足够的准确性,以支持公差和变化分析的决策。简化的模型与研发中的标准非刚性蒙特卡罗变化模拟兼容,可以对大量虚拟零件进行快速的早期公差研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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