2012
DOI: 10.1016/j.phpro.2012.02.317
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Four Methods for Roundness Evaluation

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Cited by 73 publications
(40 citation statements)
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“…The roundness (RON) and concentricity (CON) were calculated from the CRO experimental results (Figure 6a). Among the different mathematical methods available, the least squares circles method [43] was applied in this work. To evaluate the least square circumference center, a nonlinear iterative mathematical model was considered, minimizing the function error (Equation (1)) and taking the seed as the rotation center.…”
Section: Methodsmentioning
confidence: 99%
“…The roundness (RON) and concentricity (CON) were calculated from the CRO experimental results (Figure 6a). Among the different mathematical methods available, the least squares circles method [43] was applied in this work. To evaluate the least square circumference center, a nonlinear iterative mathematical model was considered, minimizing the function error (Equation (1)) and taking the seed as the rotation center.…”
Section: Methodsmentioning
confidence: 99%
“…The two-point method utilizes the opposite measurement of the shaft diameter using a simple uniaxial measuring instrument, such as an outside micrometer or a caliper. The calculated mean values, the center position and the form deviation itself show large errors [14], [9].…”
Section: Subject and Methodsmentioning
confidence: 90%
“…The result of the roundness deviation measurement depends mainly on the number and distribution of the measuring points and on the ideal element selected. The ISO 6318 standard prescribes for roundness 4 possible methods for selecting the ideal element: the LSC, MCC, MIC, and MZC [8], [9].…”
Section: Subject and Methodsmentioning
confidence: 99%
“…Additionally, in order to determine other accurate roundness values, in this paper we have also followed the ANSI dimensioning and tolerance standard Y14.5 (Asme 14.5M:, 1994) that defines tolerances of a shape with reference to an ideal geometric feature. Minimum Zone Circle (MZC), the Least Square Circle (LSC) and the Minimum Circumscribed Circle (MCC) (Samuel & Shunmugam, 2003;Simonyan, Grishin, Vatolin, & Popov, 2008;Sui & Zhang, 2012;Xiuming & Jingcai, 2014) have been considered. All these methods calculate the roundness value using different algorithms based on the inner and/or outer circle of atoms from the maximum intensity peak.…”
Section: Methodsmentioning
confidence: 99%