中国机械工程
中國機械工程
중국궤계공정
CHINA MECHANICAl ENGINEERING
2012年
15期
1825-1829
,共5页
沈斌%齐党进%樊留群%朱志浩
瀋斌%齊黨進%樊留群%硃誌浩
침빈%제당진%번류군%주지호
微小直线段%NURBS曲线拟合%最小二乘逼近%权因子和一阶导数约束%拉格朗日乘数法
微小直線段%NURBS麯線擬閤%最小二乘逼近%權因子和一階導數約束%拉格朗日乘數法
미소직선단%NURBS곡선의합%최소이승핍근%권인자화일계도수약속%랍격랑일승수법
micro section%NURBS fitting%least square approximation%restricted by weight fac-tor and first order derivative%Lagrangian multiplier method
为了满足加工精度的要求,消除以微小直线段离散化自由曲线加工路径的微段加工方式的加工程序量过大和需要频繁加减速的两大弊病,实现微小直线段的高速平滑加工,提出了带权因子和一阶导数约束的NURBS曲线最小二乘逼近算法,并在此基础上给出了基于NURBS曲线拟合的微段平滑加工算法。该微段平滑加工算法将离散的微段数据点拟合成一条NURBS曲线并将其作为新的加工路径,然后利用NURBS曲线实时插补,从而实现微小直线段的平滑加工。验证结果表明,该算法使加工更平滑和高效。
為瞭滿足加工精度的要求,消除以微小直線段離散化自由麯線加工路徑的微段加工方式的加工程序量過大和需要頻繁加減速的兩大弊病,實現微小直線段的高速平滑加工,提齣瞭帶權因子和一階導數約束的NURBS麯線最小二乘逼近算法,併在此基礎上給齣瞭基于NURBS麯線擬閤的微段平滑加工算法。該微段平滑加工算法將離散的微段數據點擬閤成一條NURBS麯線併將其作為新的加工路徑,然後利用NURBS麯線實時插補,從而實現微小直線段的平滑加工。驗證結果錶明,該算法使加工更平滑和高效。
위료만족가공정도적요구,소제이미소직선단리산화자유곡선가공로경적미단가공방식적가공정서량과대화수요빈번가감속적량대폐병,실현미소직선단적고속평활가공,제출료대권인자화일계도수약속적NURBS곡선최소이승핍근산법,병재차기출상급출료기우NURBS곡선의합적미단평활가공산법。해미단평활가공산법장리산적미단수거점의합성일조NURBS곡선병장기작위신적가공로경,연후이용NURBS곡선실시삽보,종이실현미소직선단적평활가공。험증결과표명,해산법사가공경평활화고효。
In order to actualize the high speed and high quality machining, and improve the micro --segment processing, which had the faults of too large capacity of the NC files and frequent accelera- tion/deceleration controlling in the machining process,a high--speed adaptive NURBS fitting method was developed to actualize the smoothing milling, which was under the constraints of least square ap- proximation algorithm and weight factors of data points. The new fitting algorithm was a high--speed adaptive interpolation algorithm based on NURBS fitting for micro sections. The key of the new algo- rithm was to fit the micro sections into a new tool path made of NURBS. And then, the new tool path can be interpolated easily by the NURBS interpolation algorithm. Under this method, the machining with micro sections of tool path will be smooth and efficient.