Development of Algorithms and Programs for Constructing Reference Cylinders for Analysis of Deviations from Cylindricity
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A procedure (algorithms and programs) for the construction of reference cylinders is proposed: the largest inscribed cylinder, the smallest circumscribed cylinder, and the boundary cylinders for the minimum zone. The parameters of the cylinders, i.e., the radius and position of the axis of the cylindrical surface in space, are determined by minimizing or maximizing a corresponding functional constructed on the basis of the coordinates of the points on the surface. The programs are implemented in the Mathcad program package and are applicable under laboratory conditions in experimental studies, as well as for developing program support for means of measurement. The proposed algorithms can be used to determine deviations from cylindricity of surfaces of parts in machines and devices.
Keywordsdeviation from cylindricity largest inscribed cylinder smallest circumscribed cylinder boundary cylinders for minimum zone
- 1.S. E. Ped’, “A study of methodological error in coordinate measurements of the diameter and center coordinates of profiles of cylindrical surfaces,” Vest. MGTU Stankin, No. 1, 63–66 (2012).Google Scholar
- 2.A. V. Glubokov, “Analysis of methods for measuring shape deviations by a coordinate method,” Vest. MGTU Stankin, No. 1, 72–77 (2017).Google Scholar
- 3.O. Devillers and F. Preparata, Evaluating the Cylindricity of a Nominally Cylindrical Point Set (1999), https://hal. inria.fr/inria-00412600/document, acc. March 16, 2019.
- 4.X. Zhang, X. Jiang, A. B. Forbes, et al., Evaluating the Form Errors of Spheres, Cylinders and Cones Using the Primal–Dual Interior Point Method (2013), https://www.researchgate.net/publication/267864836, acc. March 16, 2019.
- 5.Qiang Chen, Xueheng Tao, Jinshi Lu, and Xuejun Wang, Cylindricity Error Measuring and Evaluating for Engine Cylinder Bore in Manufacturing Procedure (2016), https://www.hindawi.com/journals/amse/2016/4212905, acc. March 16, 2019.