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State space modeling of variation propagation in multistage machining systems with generalized fixture layouts: A case study from an engine manufacturing enterprise

Fangrui Li et al.

Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture2026https://doi.org/10.1177/09544054261434877article
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0.41

What the paper says

In multistage machining systems (MMSs), dimensional variation propagates across stages due to fixture and datum deviations, compounded by process-induced deformation. Accurate modeling of this propagation remains challenging, as each stage may adopt distinct fixture layouts with different kinematic constraints. The lack of a unified mathematical representation further complicates variation propagation analysis under diverse fixture layouts. This paper presents a generalized Stream-of-Variation (SoV) model formulated within a unified state-space framework to overcome these limitations. The model accommodates generalized six-point fixture layouts by employing a locator matrix representation. Unlike conventional models that separately treat fixture and datum errors, the proposed model integrates them into a unified part-level differential motion vector (DMV), enhancing structural coherence and facilitating variation propagation analysis. A unified part-level differential motion vector (DMV) is explored by integrating fixture and datum errors into SoV model, enhancing structural coherence and facilitating variation propagation analysis. A six-stage engine block machining case study validates the model’s effectiveness. Experimental results show that the proposed model significantly outperforms classical and modified SoV models, with an average 22.78% reduction in prediction error. These improvements are particularly notable under generalized locating conditions where conventional models fail. The proposed model offers a scalable, physically grounded tool for variation analysis, with potential applications in adaptive control, online diagnostics, and quality assurance.

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https://doi.org/https://doi.org/10.1177/09544054261434877

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@article{fangrui2026,
  title        = {{State space modeling of variation propagation in multistage machining systems with generalized fixture layouts: A case study from an engine manufacturing enterprise}},
  author       = {Fangrui Li et al.},
  journal      = {Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1177/09544054261434877},
}

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Evidence weight

0.41

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.25 × 0.4 = 0.10
M · momentum0.55 × 0.15 = 0.08
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.