Minimum Circumscribed Circle and Maximum Inscribed Circle of Roundness Deviation Evaluation With Intersecting Chord Method

Fei Liu; Guanghua Xu; Lin Liang; Qing Zhang; Dan Liu

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Minimum Circumscribed Circle and Maximum Inscribed Circle of Roundness Deviation Evaluation With Intersecting Chord Method

機譯：相交弦法求圓度偏差的最小外接圓和最大外接圓

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Along with the development of precision machining technology, the quality of cylinder surfaces has become the primary factor in deciding whether the quality of parts meets the requirements of high performance or not. In precision machining of cylinders, the measurement and evaluation of roundness deviation is an indispensable component to quantify form tolerance. This paper focuses on the modeling method of roundness deviation. A new modeling method of an evaluation model, i.e., the intersecting chord method, is proposed to address the minimum circumscribed circle (MCCI) and maximum inscribed circle (MICI) in the evaluation of roundness deviation. The method depends on the geometric structure of the intersecting chords, and the chord is used as the main element of modeling rather than as the characteristic point as in earlier methods. Therefore, the virtual center produced by the structure of intersecting chords can accurately locate the endpoint positions of characteristic chords and the center of the reference circle. The modeling process with intersecting chords does not determine the search direction and step size in each iteration, which can reduce the number of iterations and mitigate the difficulty in modeling. Finally, these theoretical studies are verified through comparative verifications and experiments, and the results show that the intersecting chord method can not only quickly construct the MCCI and MICI models but also accurately quantify roundness deviation.

機譯：隨著精密加工技術的發展，汽缸表面的質量已經成為決定零件質量是否滿足高性能要求的主要因素。在氣缸的精密加工中，圓度偏差的測量和評估是量化形狀公差必不可少的組成部分。本文著重介紹圓度偏差的建模方法。提出了一種新的評估模型建模方法，即相交弦法，以解決圓度偏差評估中的最小外接圓（MCCI）和最大外接圓（MICI）。該方法取決于相交弦的幾何結構，該弦被用作建模的主要元素，而不是像以前的方法那樣被用作特征點。因此，由相交的弦的結構產生的虛擬中心可以準確地定位特征弦的端點位置和參考圓的中心。和弦相交的建模過程無法確定每次迭代的搜索方向和步長，這可以減少迭代次數并減輕建模的難度。最后，通過比較驗證和實驗驗證了這些理論研究，結果表明，相交和弦方法不僅可以快速構建MCCI和MICI模型，而且可以準確地量化圓度偏差。

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來源
《Instrumentation and Measurement, IEEE Transactions on》 |2016年第12期|2787-2796|共10頁
作者
Fei Liu; Guanghua Xu; Lin Liang; Qing Zhang; Dan Liu;
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作者單位

School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, China;

State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an, China;

Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi’an Jiaotong University, Xi’an, China;

Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi’an Jiaotong University, Xi’an, China;

Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi’an Jiaotong University, Xi’an, China;

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收錄信息美國《科學引文索引》(SCI);美國《工程索引》(EI);
原文格式 PDF
正文語種 eng
中圖分類
關鍵詞
Machining; Computational modeling; Measurement techniques; Mathematical model; ISO Standards; Precision engineering;

機譯：機械加工;計算建模;測量技術;數學模型;ISO標準;精密工程;

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Minimum Circumscribed Circle and Maximum Inscribed Circle of Roundness Deviation Evaluation With Intersecting Chord Method

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