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球頭銑刀瞬態(tài)切削力數(shù)學(xué)模型建立與仿真
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國(guó)家自然科學(xué)基金資助項(xiàng)目（50975162,、50935003）;國(guó)家科技重大專項(xiàng)資助項(xiàng)目（2009ZX04012—031,、2010ZX04017—012）;山東省自然科學(xué)杰出青年基金資助項(xiàng)目（JQ200918）


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

    針對(duì)球頭銑刀在3軸數(shù)控銑床中應(yīng)用的8種常見(jiàn)銑削情形,，將銑刀軸向離散化為一系列微元切削刃,，首先分析并建立局部切削力模型，進(jìn)而通過(guò)積分運(yùn)算求得銑刀整體切削力,，建立了結(jié)合前刀面剪切效應(yīng)與后刀面犁切效應(yīng)雙重機(jī)制的球頭切削力預(yù)報(bào)模型,。該模型考慮了走刀間距對(duì)切削區(qū)域的影響，采用幾何分析方法求解瞬時(shí)參與切削的微元切削刃的分布,，容易實(shí)現(xiàn)程序化,，并利用Matlab對(duì)銑削力進(jìn)行了數(shù)值仿真。最后,，通過(guò)以45號(hào)鋼為工件材料的銑削試驗(yàn)獲得試驗(yàn)數(shù)據(jù),，數(shù)值仿真結(jié)果與試驗(yàn)結(jié)果對(duì)比，驗(yàn)證了球頭銑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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王啟東,劉戰(zhàn)強(qiáng),湯愛(ài)民,王社權(quán),肖思來(lái).球頭銑刀瞬態(tài)切削力數(shù)學(xué)模型建立與仿真[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),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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