摘要
提出了基于离散点的圆柱螺旋面成形刀具计算方法,分别建立了已知螺旋面工件截形离散点数据计算成形刀具廓型的数学模型及已知刀具截形离散点数据计算由其加工的螺旋面工件的数学模型。利用累积三次参数样条法计算螺旋面工件截形及成形刀具廓型各离散点的倾斜角。分析了成形刀具的计算误差,对成形刀具数据型值点以累积三次参数样条进行插值,用双圆弧样条拟合的方法进行光顺处理。实例证明,两模型是正确性的、可行的,能够满足离散点条件下螺旋面高效率、高精度的加工要求。
A new method of calculation on discrete points of shape tools for helicoids was presented. The contact equations of tool and helicoids were deduced when the discrete points of helicoids as well as those of shape tools were given. The calculation method of slope angle of each discrete point was presented based on studying the cubic parametric spline method. Calculation errors of the method were analyzed by using practical examples. The discrete data curve of shape tools were fitted by blare after interpolating by cumulated cubic parametric spline method. The validity and feasibility of the mathematical model were proved by case studies. And this method provids a new means for reducing the machining error and it can meet to the machining needs of the high-speed and precision of helicoids.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2007年第10期1178-1182,共5页
China Mechanical Engineering
关键词
成形刀具
螺旋面
离散点
三次参数样条法
双圆弧拟合
shape tool
helicoid
discrete point
cumulated cubic parametric spline method
blare fitting
