Articles | Volume 7, issue 1
https://doi.org/10.5194/jsss-7-57-2018
https://doi.org/10.5194/jsss-7-57-2018
Regular research article
 | 
06 Feb 2018
Regular research article |  | 06 Feb 2018

An SQP method for Chebyshev and hole-pattern fitting with geometrical elements

Daniel Hutzschenreuter, Frank Härtig, and Markus Schmidt

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Cited articles

DIN EN ISO 2692: Geometrical product specifications (GPS) – Geometrical tolerancing – Maximum material requirement (MMR), least material requirement (LMR) and reciprocity requirement (RPR) (ISO 2692:2006), German version EN ISO 2692:2007-04, 2007.  
Forbes, A. B. and Minh, H. D.: Generation of numerical artefacts for geometric form and tolerance assessment, Int. J. Metrol. Qual. Eng., 3, 145–150, https://doi.org/10.1051/ijmqe/2012022, 2012. 
Geiger, C. and Kanzow, C.: Theorie und Numerik restringierter Optimierungsaufgaben, Springer, https://doi.org/10.1007/978-3-642-56004-0, 2002. 
Hutzschenreuter, D.: Benchmarking data sets for flange hole pattern fitting, Physikalisch-Technische Bundesanstalt (PTB), https://doi.org/10.7795/710.20170606, 2017. 
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Short summary
The work proposes a fast and accurate algorithm for the calculation of geometrical shapes and fits in three-dimensional product measurement applications. The algorithm is presented in detail. Furthermore, test calculations are made for an assembly simulation with a flange ring. The research was founded by the federal agency of economic affairs and energy of Germany within the scope of the technology transfer program MNPQ-Transfer.