A comparison of different algorithms for circularity evaluation

Murthy, T.S.R.

doi:10.1016/0141-6359(86)90005-x

Cited by 45 publications

(11 citation statements)

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“…However, it is not easy to choose proper initial condition for these optimization methods which are local convergence sometimes. Also, many of these optimization algorithms are very complicated and can not be easily carried out in practical application 8,9 . Area search is a simple and efficient method which can be utilized in common roundness measurement.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of roundness error based on improved area hunting method

Zhan¹,

Xue²,

2010

SPIE Proceedings

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Rotary parts are used commonly in the field of precision machinery and their roundness error can affect installation accuracy greatly which determines the performance of machine. It is essential to establish a proper method for evaluating roundness error to ensure accurate assessment. However, various evaluation algorithms are time-consuming, complex and inaccuracy which can not meet the challenge of precision measurement. In this paper, an improved area hunting method which used minimum zone circle (MZC), minimum circumscribed circle (MCC) and maximum inscribed circle (MIC) as reference circle was proposed. According to specific area hunting rules of different reference circles, a new marked point which was closer to the real center of reference circle was located from grid cross points around previous marked point. Searched area was decreasing and the process of area hunting terminated when iteration accuracy was satisfied. This approach was realized in a precision form measurement instrument developed in NIM. The test results indicated that this improved method was efficient, accurate and can be easily implemented in precision roundness measurement.

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Section: Introductionmentioning

confidence: 99%

Evaluation of roundness error based on improved area hunting method

Zhan¹,

Xue²,

2010

SPIE Proceedings

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“…However, in practice, the roundness error is measured directly by form measuring equipments. On the other hand, some algorithms 2310 H. Saglam et al developed (Dhanish and Shanmugam 1991, Murthy 1986, Chetwy 1985, Chang and Lin 1992 such as Chebyshev approximation, simplex search, linear and non-linear optimization, and Monte Carlo methods have been used to evaluate roundness error in terms of the minimum zone. This paper presents an experimental study on the effects of grinding parameters on roundness and surface roughness using orthogonal array developed by Taguchi.…”

Section: Introductionmentioning

confidence: 99%

An experimental investigation as to the effect of cutting parameters on roundness error and surface roughness in cylindrical grinding

Sağlam

Ünsaçar²,

Yaldız³

2005

International Journal of Production Research

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This paper presents the results of an experimental investigation as to the effects of grinding parameters on roundness error and surface roughness in cylindrical grinding. Many variables including the wheel materials, wheel loading and dressing, workpiece metallurgy, work drive mechanisms, work holding methods, coolant types, feeds and speeds, machine stiffness and age, surface conditions, centre conditions, floor vibrations all influence the quality of ground parts. However, the composite sum of these grinding parameters creates static and dynamic forces. It is obvious that the roundness error and surface roughness are created by many parameters, but in this study, only the effects of the depth of cut, work speed and feed rate which create the grinding forces in cylindrical grinding are investigated. The grinding experiments were planned according to the principles of orthogonal arrays (OAs), developed by Taguchi, and were performed so as to understand the effects of these parameters on roundness error and surface roughness. The experimental data was analysed by using statistical tools: the percent contribution from an analysis of variance (ANOVA) and the correlation between machining parameters with roundness error (R) and also surface roughness (Ra). Roundness was found to be the most related with the cutting speed, grinding force and depth of cut, while surface roughness is related to feed rate and work speed.

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“…Different linearization procedures employed are given by Miller (1962); Whitehouse (1973); Kasa (1976); Kyusojin et al (1986); Murthy (1986); Shunmugam (1986a); Landau (1987) and Yerelan and Ventura (1988). The most common linearized equation for the errors, when the data points are given as (r i , θ i ) is:…”

Section: Introductionmentioning

confidence: 99%

A statistical approach to tolerance evaluation for circles and cylinders

Traband

Medeiros²,

Chandra³

2004

IIE Transactions

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Sample data points obtained from a Coordinate Measuring Machine or other similar inspection system are frequently used to evaluate part conformance to specification. Typically, a curve or surface is fit to the sampled points and the decision is based on parameters of that curve or surface. This paper presents an approach to tolerance evaluation that explicitly considers underlying part variation under the assumption of normality of errors. Statistical inferences on the parameters are used to evaluate size and position tolerances. Results are presented for a simulated feature with normally distributed errors and for a measured feature.

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A comparison of different algorithms for circularity evaluation

Cited by 45 publications

References 1 publication

Evaluation of roundness error based on improved area hunting method

Evaluation of roundness error based on improved area hunting method

An experimental investigation as to the effect of cutting parameters on roundness error and surface roughness in cylindrical grinding

A statistical approach to tolerance evaluation for circles and cylinders

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