Statistical evaluation method for cylindricity deviation using local least squares cylinder

다국어 초록 (Multilingual Abstract)

Accurately evaluating cylindricity deviation is the most important requirement for the quality analysis and control of cylindrical products in modern industrial manufacturing processes. The cylindricity deviation of a whole cylinder is usually evaluated with measured points from the target surface. In practice, there are many local intrinsic characteristics that can be related to defects or manufacturing errors, and some precision cylindrical workpieces such as large bearings and rollers are very sensitive to the local cylindricity quality. Hence, it is necessary to evaluate and analyze the local cylindricity variation. In previous works, few methods have focused on the deviation evaluation of local patches of the measured workpieces, and variation of local characteristics could not be directly reflected. In this paper, we propose a new statistical evaluation method for cylindricity deviation using local least squares reference cylinder, which not only evaluates the local and global cylindricity deviations, but also presents deviation change features. This paper illustrates the theoretical basis of the statistical evaluation method, provides the evaluation operation process and parameters, and finally demonstrates the accuracy and feasibility of the proposed method according to the experimental results. The proposed method can be effectively used to provide a reliable verification of the product quality and to analyze the error sources in manufacturing and inspection phases.

참고문헌 (Reference)

1 Lee, K., "Web-based algorithm for cylindricity evaluation using support vector machine learning" 60 : 228-235, 2011

2 Roque Calvo, "Vectorial Method of Minimum Zone Tolerance for Flatness, Straightness, and their Uncertainty Estimation" 한국정밀공학회 15 (15): 31-44, 2014

3 Zhang, K., "Study on evaluation of cylindricity errors with a hybrid particle swarm optimization-chaos optimization algorithm" 13 (13): 567-573, 2016

4 Chiabert, P., "Statistical modeling of nominal and measured mechanical surfaces" 3 (3): 87-94, 2003

5 Liu, F., "Sampling strategy and error estimation for evaluation of quadratic form error using Cartesian coordinate data" 11 (11): 839-846, 2017

6 Cao, Z. M., "Roundness deviation evaluation method based on statistical analysis of local least square circles" 28 (28): 105017-, 2017

7 Adamczak, S., "Quantitative comparison of cylindricity profi les measured with diff erent method using Legendre-Fourier coeffi cients" 17 (17): 397-403, 2010

8 Chiabert, P., "Probabilistic method in form error evaluation : comparison of diff erent approaches" 92 : 447-458, 2017

9 Lai, H., "Precision modeling of form errors for cylindricity evaluation using genetic algorithms" 24 : 310-319, 2000

10 Aguirre-Cruz, J. A., "Origin off set and axes misalignment compensation in complex form parameter estimation using CMM" 68 : 2771-2790, 2013

11 Moroni, G., "Optimal inspection strategy planning for geometric tolerance verifi cation" 38 : 71-81, 2014

12 Rossi, A., "Optimal blind sampling strategy for minimum zone roundness evaluation by metaheuristics" 37 (37): 241-247, 2013

13 Lei, X. Q., "Method for cylindricity error evaluation using geometry optimization searching algorithm" 44 : 1556-1563, 2011

14 Alain, V., "Implementation of capacitive probes for ultra-high precision machine for cylindricity measurement with nanometre level of accuracy" 16 (16): 883-893, 2015

15 "ISO 12181-2: Geometrical product specifi cation (GPS)—Roundness—Part 2: Specifi cation operators"

16 "ISO 12180-2: Geometrical product specifi cation (GPS)—Cylindricity—Part 2: Specifi cation operators"

17 "ISO 12180-1: Geometrical product specifi cation (GPS)—Cylindricity—Part 1: Vocabulary and parameters of cylindrical form"

18 "ISO 1101: Geometrical product specifi cation (GPS)-Geometrical tolerancing—Tolerances of form, orientation, location and run-out"

19 He, G. Y., "Evaluation of the cylindricity error based on the sequential quadratic programming algorithm" 33 (33): 1845-1849, 2014

20 Venkaiah, N., "Evaluation of form data using computational geometric techniques—Part II : Cylindricity error" 47 : 1237-1245, 2007

21 Wang, C., "Evaluation of cylindricity geometrical error based on calculational geometry" 722 : 359-362, 2015

22 Jariya Buajarern, "Effect of Step Number on Roundness Determination Using Multi-Step Method" 한국정밀공학회 14 (14): 2047-2050, 2013

23 Pathak, V. K., "Eff ective form error assessment using improved particle swarm optimization" 32 (32): 279-292, 2017

24 ANSI, "Dimensioning and Tolerancing"

25 Payam Haghighi, "Development of a Library of Feature Fitting Algorithms for CMMs" 한국정밀공학회 16 (16): 2101-2113, 2015

26 Pedone, P., "Designing small samples for form error estimation with coordinate measuring machines" 35 : 262-270, 2011

27 Ni, W. H., "Cylindricity modeling and tolerance analysis for cylindrical components" 64 : 867-874, 2013

28 Dovica, M., "Comparison of the cylindricity deviation using diff erent evaluation methods" 1 (1): 339-342, 2013

29 Liu, W. W., "Comparison of current fi ve-point cylindricity error separation techniques" 8 (8): 1946-, 2018

30 Du, C., "Applying particle swarm optimization algorithm to roundness error evaluation based on minimum zone circle" 52 : 12-21, 2014

31 Zaimovic-Uzunovic, N., "Advances in Manufacturing" Springer 825-835, 2018

32 Colosimo, B. M., "A tolerance interval based criterion for optimizing discrete point sampling strategies" 34 : 745-754, 2010