圓度誤差評(píng)定的曲率法研究

李秀明
石照耀

北京工業(yè)大學(xué)機(jī)械工程與應(yīng)用電子技術(shù)學(xué)院,北京100022

摘　要:提出了基于曲率的圓度誤差評(píng)定方法。從曲率的定義出發(fā),推導(dǎo)出了用最大內(nèi)接圓或最小外接圓評(píng)定圓度誤差時(shí)篩選點(diǎn)的條件：用最大內(nèi)接圓評(píng)定時(shí),篩選掉曲率半徑最小的點(diǎn);用最小外接圓評(píng)定時(shí),篩選掉曲率半徑最大的點(diǎn)。根據(jù)這一條件,可以得到滿足圓度誤差評(píng)定原則的3個(gè)特征點(diǎn),從而確定圓度誤差。篩選點(diǎn)時(shí),用最小二乘圓把測(cè)量點(diǎn)分成內(nèi)點(diǎn)集合和外點(diǎn)集合,最大內(nèi)接圓從內(nèi)點(diǎn)集合中篩選,最小外接圓從外點(diǎn)集合中篩選,這樣就可大大減少了計(jì)算量。經(jīng)過實(shí)例驗(yàn)證,表明該方法的正確性和可行性。[著者文摘]

An Evaluation Method for the Roundness Error Based on CurvatureLI Xiu-ming, SHI Zhao-yao College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100022, ChinaAbstract:A novel method for evaluation of the roundness error based on curvature is presented. The condition for choosing points is derived from the definition of the curvature in evaluating the roundness error with maximum inscribed circle or minimum circumscribed circle. The points with the least radius of curvature are eliminated with maximum inscribed circle, whereas the points with the largest radius of curvature are eliminated with minimum circumscribed circle. According to the above condition three points satisfying with the criterion for evaluation of the roundness error are discovered, so the roundness error is determined, The points are divided into outer points and inter points according to the least square mean circle in order to reduce the amount of computation. The points are eliminated from internal points for maximum inscribed circle, but for minimum circumscribed the points are chosen from external points. The correctness and the feasibility of the method are proved through an example.[著者文摘]

Key words:Metrology; Roundness error; Curvature; Maximum inscribed circle; Minimum circumscribed circle

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