A Quantitative Estimation of the Uncertainty of the Average Clearance and Interference in the Conjugations of the Eponymous Intermediate and Extreme Dimensional Groups
( Pp. 11-29)

The main result of the study is related to the conclusion having novelty of the analytical dependencies of finding a quantitative estimate of the uncertainty of random scattering of the average clearance and interference in the conjugations of the eponymous intermediate and extreme dimensional groups, the random scattering of the average size relative to the upper and lower acceptance boundaries at the tolerances intervals of the actual sizes of intermediate and extreme dimensional groups. The presence of measurement errors, random scattering of actual dimensions with а deviation of the shape of the real surface or profile with the splitting of the tolerances of actual dimensions into an equal number of dimensional groups has an impact on the reliability of measurement results and control of parts when completing and selecting by sorting them into an equal number of dimensional groups and with the appearance on the tolerances intervals of the actual sizes of intermediate and extreme dimensional groups of areas of probabilistic errors of the first and second kind in the case of an erroneous ecceptance of some defective parts as suitable and some of the suitable parts defective leads to random scattering of the average clearance and interference in the conjugations of the eponymous intermediate and extreme dimensional groups, displacements of the grouping centers of the tolerances of the actual dimensions of intermediate and extreme dimensional groups with respect to the middle of the tolerance of the actual dimensions, impossible to use all received for assembly of the parts when completing and selecting by sorting them into an equal number of dimensional groups. The main result of the study is related to the conclusion having novelty of the analytical dependencies of finding a quantitative estimate of the uncertainty of random scattering of the average clearance and interference in the conjugations of the eponymous intermediate and extreme dimensional groups, the random scattering of the average size relative to the upper and lower acceptance boundaries at the tolerances intervals of the actual sizes of intermediate and extreme dimensional groups.

Chigrik N.N. A Quantitative Estimation of the Uncertainty of the Average Clearance and Interference in the Conjugations of the Eponymous Intermediate and Extreme Dimensional Groups. Computational Nanotechnology. 2023. Vol. 10. No. 1. Pp. 11–29. (In Rus.) DOI: 10.33693/2313-223X-2023-10-1-11-29

Laurent P., Rouetbi O., Anselmetti B. Tolerance analysis of hyperstatic mechanical systems with deformations. Procedia CIRP. 2018. Vol. 75. Pp. 244–249. DOI: 10.1016/j.procir.2018.04.059.
Noppachai Saivaew, Suthep Batdee. Decision making for effective assembly machined parts selection using fuzzy AHP and fuzzy logic. Materials Today: Proceedings. 2020. Vol. 26. Part 2. Pp. 2265–2271. DOI: 10.1016/j.matpr.2020.02.491.
Ghandi S., Masehian E. Review and taxonomies of assembly and disassembly path planning problems and approaches. Computer-Aided Design. 2015. Vol. 67–68. Pp. 58–86. DOI: 10.1016/j.cad.2015.05.001.
Kannan S.M., Raja G. Pandian. A new selective assembly model for achieving specified clearance in radial assembly. Materials Today: Proceedings. 2021. Vol. 46. Pp. 7411–7417. DOI: 10.1016/j.matpr.2020.12.1229.
Caputo A.C., Di Salvo G. An economic decision model for selective assembly. International Journal of Production Economics. 2019. Vol. 207. Pp. 56–69. DOI: 10.1016/j.ijpe.2018.11.004.
Sorokin M.N., Koltunov I.I. Scheme of designing by selective assembly of products of the “bearing” type. Assembly in Mechanical Engineering, Instrumentation. 2015. No. 10. Pp. 16–22.
Häggström D., Sellgren U., Björklund S. The effect of manufacturing tolerances on the thermomechanical load of gearbox synchronizers. Procedia CIRP: 51st CIRP Conference on Manufacturing Systems. 2018. Vol. 72. Pp. 1202–1207. DOI: 10.1016/j.procir.2018.03.050.
Pat. 2744306, Russian Federation, MPK F16C, B07C 5/04. The way of assembly of an equal number of parts when completing and selecting by sorting them into an equal number of dimensional groups. N.N. Chigrik; applicant and patentee N.N. Chigrik; № 2020122969; applicable on 06.07.2020, published on 05.03.2021. Newsletter №7.
Chigrik N.N. A quantitative estimate of uncertainty of the random scattering of the average clearance and interference in mating. Omsk Scientific Bulletin. 2022. No. 4 (184). Pp. 101–111. DOI: 10.25206/1813-8225-2022-184-101-111.

incomplete interchangeability, selection of parts, selective assembly, the average size, confidence interval, probabilistic average clearance, probabilistic average interference, error of the shape.