A statistical approach to tolerance evaluation for circles and cylinders

Traband, Mark T.; Medeiros, D. J.; Chandra, M. Jeya

doi:10.1080/07408170490458616

Cited by 9 publications

(19 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A common instance of a 3D shape of interest in manufacturing is a cylinder (see, for example, Traband et al (2004)). For example, in lathe machining, different problems in the process can result in non-cylindrical shapes in the form of a barrel, a banana, etc.…”

Section: Detection Of Differences In Mean For Three-dimensional Cylinmentioning

confidence: 99%

Statistical performance of tests for factor effects on the shape of objects with application in manufacturing

Alshraideh

2013

IIE Transactions

View full text Add to dashboard Cite

This article considers experiments in manufacturing where the response of interest is the geometric shape of a manufactured part and the goal is to determine whether the process settings varied during the experiment affect the resulting shape of the part. An approach in practice to determine factor effects is to estimate the form error of the part-if a standard definition of the form error of interest exists-and conduct an analysis of variance (ANOVA) on the form errors. Instead, we study the performance of several statistical shape analysis techniques to analyze this class of experiments. Simulated shape data were used to perform power comparisons for two-and three-dimensional shapes. The ANOVA on the form errors was found to have a poor performance in detecting mean shape differences in circular and cylindrical shapes. Procrustes-based tests such as an ANOVA test due to Goodall and a recently proposed ANOVA permutation test provide the highest power to detect differences in the mean shape. These tests can also be applied to parts produced in "free form" manufacturing, where no standard definition of form error exists, provided that correspondent points exist on each part.

show abstract

Section: Detection Of Differences In Mean For Three-dimensional Cylinmentioning

confidence: 99%

Statistical performance of tests for factor effects on the shape of objects with application in manufacturing

Alshraideh

2013

IIE Transactions

View full text Add to dashboard Cite

show abstract

“…(A1), f(n i , β) T v i is the t i in a triangle constructed from the three points: f(n i , β), (x 0 , y 0 ) and (0, 0) (a similar triangle was utilized in Traband et al (2004)). Solving this triangle, we get f(n i , β) T v i = −x 0 cos τ i − y 0 sin τ i − r 2 − (x 0 sin τ i − y 0 cos τ i ) 2 .…”

Section: Appendixmentioning

confidence: 99%

Gaussian process method for form error assessment using coordinate measurements

2008

View full text Add to dashboard Cite

A Gaussian process method for modeling and assessing form errors is presented. The Gaussian process method decomposes a geometric feature into three components: designed geometric form, systematic manufacturing errors and random manufacturing errors. It models the systematic manufacturing errors as a spatial model using a Gaussian correlation function and models the random manufacturing errors as independent identically distributed noises. Based on a handful of coordinate measurements, the Gaussian process model reconstructs the part surface and assesses the form error better than traditional methods. The Gaussian process method also provides an empirical distribution of the form error, allowing engineers to quantify the decision risk on part acceptance. This method works for generic geometric features. The method is implemented on two common features: a straight and a round feature. Simulated datasets as well as actual coordinate measuring machine data are used to demonstrate the improvement achieved by the proposed method over the traditional approaches.

show abstract

Section: Accuracy and Precision In Coordinatementioning

confidence: 99%

“…Traband et al [12] presented statistical procedures for cylinddcal data clusters to include measurement uncertainty in the tolerance evaluation process. The goal of this work [12] was to capture the underlying variation in a part's feature when only discrete data are available. The contention of Traband et al [12] was that the data cluster should be a valid interpretation of the feature's profile and form determination should not place too much emphasis on discrete sampled data.…”

Section: Accuracy and Precision In Coordinatementioning

confidence: 99%

A Hull Normal Based Approach for Cylindrical Size Assessment

Turek

Anand

2011

Journal of Manufacturing Science and Engineering

View full text Add to dashboard Cite

Digital measurement devices, such as coordinate measuring machines, laser scanning devices, and digital imaging, can provide highly accurate and precise coordinate data representing the sampled surface. However, this discrete measurement process can only account for measured data points, not the entire continuous form, and is heavily influenced by the algorithm that interprets the measured data. The definition of cylindrical size for an external feature as specified by ASME . This work builds upon previous research in which the hull normal method was presented to determine the size of cylindrical bosses when rule no. I is applied [Turek, and Anand, 2007, "A Hull Normal Approach for Determining the Size of Cylindrical Features, " ASME, Atlanta, GA]. A thorough analysis of the hull normal method's performance in various circumstances is presented here to validate it as a superior alternative to the least-squares and MCC solutions for size evaluation. The goal of the hull normal method is to recreate the sampled surface using computational geometry methods and to determine the cylinder's axis and radius based upon it. Based on repetitive analyses of random samples of data from several measured parts and generated forms, it was concluded that the hull normal method outperformed all traditional solution methods. The hull normal method proved to be robust bv having a lower bias and distributions that were skewed toward the true value of the radius, regardless of the amount of form error.

show abstract

A statistical approach to tolerance evaluation for circles and cylinders

Cited by 9 publications

References 15 publications

Statistical performance of tests for factor effects on the shape of objects with application in manufacturing

Statistical performance of tests for factor effects on the shape of objects with application in manufacturing

Gaussian process method for form error assessment using coordinate measurements

A Hull Normal Based Approach for Cylindrical Size Assessment

Contact Info

Product

Resources

About