球头铣刀瞬态切削力数学模型建立与仿真
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国家自然科学基金资助项目(50975162、50935003);国家科技重大专项资助项目(2009ZX04012—031、2010ZX04017—012);山东省自然科学杰出青年基金资助项目(JQ200918)


Mathematic Modeling and Simulation of Instantaneous Cutting Force for Ball End Milling
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    摘要:

    针对球头铣刀在3轴数控铣床中应用的8种常见铣削情形,将铣刀轴向离散化为一系列微元切削刃,首先分析并建立局部切削力模型,进而通过积分运算求得铣刀整体切削力,建立了结合前刀面剪切效应与后刀面犁切效应双重机制的球头切削力预报模型。该模型考虑了走刀间距对切削区域的影响,采用几何分析方法求解瞬时参与切削的微元切削刃的分布,容易实现程序化,并利用Matlab对铣削力进行了数值仿真。最后,通过以45号钢为工件材料的铣削试验获得试验数据,数值仿真结果与试验结果对比,验证了球头铣刀切削力模型的有效性。

    Abstract:

    A dual-mechanism cutting force predicting modeling technique was proposed for eight ball end milling operations commonly applied on 3-axis CNC machine tools. The ball end milling was divided into a number of elementary cutting edges. Firstly, the local cutting forces within each elementary cutting edge were analyzed and modeled. Then, total cutting force could be calculated by integral operation. The effect of stepinterval in cutting zones was taken into account for cutting force prediction. The number and distribution of the elementary cutting edges involved in cutting action could be instantaneously determined by geometric analysis. The numerical simulation was implemented by Matlab. Finally, the proposed model was validated through milling experiments of 45# steel. The results showed that there was a good agreement between the experimental results and the simulation ones.

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王启东,刘战强,汤爱民,王社权,肖思来.球头铣刀瞬态切削力数学模型建立与仿真[J].农业机械学报,2011,42(8):200-206. ang Qidong, Liu Zhanqiang, Tang Aimin, Wang Shequan, Xiao Silai. Mathematic Modeling and Simulation of Instantaneous Cutting Force for Ball End Milling[J]. Transactions of the Chinese Society for Agricultural Machinery,2011,42(8):200-206.

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