Inference for deformation and interference in 3D printing. (English) Zbl 1303.62115

Summary: Additive manufacturing, or 3D printing, is a promising manufacturing technique marred by product deformation due to material solidification in the printing process. Control of printed product deformation can be achieved by a compensation plan. However, little attention has been paid to interference in compensation, which is thought to result from the inevitable discretization of a compensation plan. We investigate interference with an experiment involving the application of discretized compensation plans to cylinders. Our treatment illustrates a principled framework for detecting and modeling interference, and ultimately provides a new step toward better understanding quality control for 3D printing.


62P30 Applications of statistics in engineering and industry; control charts
Full Text: DOI arXiv Euclid


[1] Box, G. E. P., Luceño, A. and Paniagua-Quiñones, M. d. C. (2009). Statistical Control by Monitoring and Adjustment , 2nd ed. Wiley, Hoboken, NJ. · Zbl 1168.93002
[2] Campbell, T., Williams, C., Ivanova, O. and Garrett, B. (2011). Could 3 D Printing Change the World? Technologies , Potential , and Implications of Additive Manufacturing . Atlantic Council, Washington, DC.
[3] Colosimo, B. M., Semeraro, Q. and Pacella, M. (2008). Statistical process control for geometric specifications: On the monitoring of roundness profiles. J. Qual. Technol. 40 1-18.
[4] Cox, D. R. and Donnelly, C. A. (2011). Principles of Applied Statistics . Cambridge Univ. Press, Cambridge. · Zbl 1273.62002 · doi:10.1017/CBO9781139005036
[5] Duane, S., Kennedy, A., Pendleton, B. J. and Roweth, D. (1987). Hybrid Monte Carlo. Phys. Lett. B 195 216-222.
[6] Gelman, A. and Rubin, D. (1992). Inference from iterative simulation using multiple sequences. Statist. Sci. 7 457-472. · Zbl 1386.65060
[7] Gibson, I., Rosen, D. and Stucker, B. (2009). Additive Manufacturing Technologies : Rapid Prototyping to Direct Digital Manufacturing . Springer, Berlin.
[8] Hilton, P. and Jacobs, P. (2000). Rapid Tooling : Technologies and Industrial Applications . CRC Press, Boca Raton.
[9] Holland, P. W. (1986). Statistics and causal inference. J. Amer. Statist. Assoc. 81 945-970. · Zbl 0607.62001 · doi:10.2307/2289064
[10] Huang, Q., Zhang, J., Sabbaghi, A. and Dasgupta, T. (2014). Optimal offline compensation of shape shrinkage for 3D printing processes. IIE Transactions on Quality and Reliability .
[11] Melchels, F., Feijen, J. and Grijpma, D. (2010). A review on stereolithography and its applications in biomedical engineering. Biomaterials 31 6121-6130.
[12] Meng, X.-L. (1994). Posterior predictive \(p\)-values. Ann. Statist. 22 1142-1160. · Zbl 0820.62027 · doi:10.1214/aos/1176325622
[13] Rosenbaum, P. R. (2007). Interference between units in randomized experiments. J. Amer. Statist. Assoc. 102 191-200. · Zbl 1284.62494 · doi:10.1198/016214506000001112
[14] Rubin, D. (1980). Comment on “Randomization analysis of experimental data: The Fisher randomization test,” by D. Basu. J. Amer. Statist. Assoc. 75 575-595. · Zbl 0444.62089 · doi:10.2307/2287648
[15] Sobel, M. E. (2006). What do randomized studies of housing mobility demonstrate?: Causal inference in the face of interference. J. Amer. Statist. Assoc. 101 1398-1407. · Zbl 1171.62365 · doi:10.1198/016214506000000636
[16] Tong, K., Joshi, S. and Lehtihet, E. (2008). Error compensation for fused deposition modeling (FDM) machine by correcting slice files. Rapid Prototyping J. 14 4-14.
[17] Tong, K., Lehtihet, E. and Joshi, S. (2003). Parametric error modeling and software error compensation for rapid prototyping. Rapid Prototyping J. 9 301-313.
[18] Wang, W., Cheah, C., Fuh, J. and Lu, L. (1996). Influence of process parameters on stereolithography part shrinkage. Mater. Des. 17 205-213.
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