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人类认识和利用的一点历史可以追溯到史前时代。燧人氏“钻木取火”石钻使用的，可以作为最原始的位看到。现代工业的麻花钻加工，广泛应用于（俗称位已知），是一个真正的工件孔加工形状复杂的工具，是在100多年前诞生。现在，各种年度消费量都超过百万位数全世界有几百名。据统计，美国汽车制造业，在钻井的比例约50％的加工工艺，而在飞机制造行业，在钻井过程比例甚至更高。尽管这样的钻头广泛使用，但众所周知，钻探是最复杂的加工方法。正因为如此，人们致力于钻头，钻井，以提高研究过程。根据现有的英语文学，麻花钻和钻井技术的研究历史，现状和发展趋势的两个槽进行审查。

1。研究和技术问题的主要领域
近几十年来
，它是关于位和钻头除了改善的研究资料，主要表现在以下五个方面重点：①

位的数学模型和几何设计的研究：包括螺旋槽，侧面，主要刀片和凿建立数学模型，水平切断形状与结构参数优化钻头的切削角度（分布的计算和控制），位结构的静态和动力特性分析钻头几何形状和切削和性能之间关系的研究芯片。

②位的制造方法的研究：包括钻头几何参数与后刀面刃磨参数之间的关系，建立和优化，制造精度和研磨钻头的质量和测量和控制，钻头螺旋槽加工工具制造误差的评价设计和计算截，位处理设备，特别是数控磨削加工与开发计算机软件。

③钻井钻井过程和研究质量：在钻井过程中的影响，包括各种因素，以及一个物理现象的分析，建模和监测（如出现各种钻孔，切割压力和温度的边缘分布测量，建模和预测）;钻穿，钻断裂机制和生命研究;位的变形，挠度，在其进入的钻头钻和摆动打滑现象的研究时，钻井过程（如振动钻削，高速钻，深孔钻，钻孔，如过程的稳定性）和钻井质量（孔的位置精度，直线度，表面粗糙度，圆柱度，直径，孔口毛刺等）。

④具有高性能钻头广泛（如基钻井液，枪钻，钻头钻井机制做切割，多孔，深孔钻头，长的钻头，钻头转动，合成材料加工位，木工钻头，多层螺旋槽位等）。

⑤钻井过程模型验证和钻头性能评估过程自动化，切削条件及钻头形状的选择，如建立数据库和知识基础。

目前，最活跃的研究领域是位数学模型，几何设计和制造方法（设备）的研究，钻井和钻井过程建模研究质量。

2。位的数学模型和几何设计的研究

210位

成立的钻探位几何设计，制造的数学模型，数学模型，切割性能分析和钻探过程建模的基础。第一位的数学模型，提出加洛维东风于1957年。他推导出的参数方程的线性刀片钻头刀面，使前，后横刃斜角的角度和定义，计算公式和测量方法的主要刀片，在与磨削过程相互作用钻头“侧翼磨磨锥后，形成了“的观点的一部分轮。计算机辅助设计程序。 1972年，Armarego伊科发现Rotenbery答：侧翼锥形研磨方法有4个独立的磨削参数，并给出了一般的钻头几何参数只有3，因此，不仅要确定钻头后刀面的形状和磨削参数。为此，他们建议侧翼的差距几何参数的角度补充年底获得磨削参数唯一的解决办法。 1979年，蔡西数，吴钐证明：锥钻，雷达应答器钻头，螺丝位和钻头等比克福德侧面可以用来表达二次曲面，并建议综合演练几何数学模型，该模型可以用来控制研磨过程。 1983年，希南L等人提出十字钻钻侧翼的数学模型。他们将侧翼侧翼到第一和第二侧面：关于第一个侧面向蔡模式，更完善的锥模型集;第二侧翼，建立一套机管局飞机模型。 Fugelso马提出了数学模型的圆柱形钻头。 1985年，复哈诺夫和建立与钻头二次曲面设置侧面反映数学模型等等，以使用计算机设计为椭圆形，双曲面，圆锥，圆柱或任何组合。

很长一段时间，人们扭曲叶片的主要目的是一条直线。 1990年，Fugelso马发现，由于主要锥演习要求，直边，如此接近的主要部取心叶片角度变得太小，如果在研磨围绕自身转动轴位5 °〜10 °，我们可以解决这个问题，只有主要的刀片将变得稍微弯曲。同年，王勇将被视为主要的叶片曲线，多项式插值方法使用了螺旋钻刀面的几何模型集。 1991年，林C和曹忠，一个合适的直边和曲线用锥形，圆柱形和平面侧面的综合麻花钻数学模型。 1999年，任架KC和镍ĵ提出二项式表示任意形状的主旋翼曲线，钻前一种新的数学模型，采用侧翼，和矢量分析方法，建立了二次曲面侧面研磨参数和几何参数之间关系的问题。

2.2结构优化位

作为对锥形钻头的切削性能广泛使用效果不理想，已在其结构（参数）和改进的磨削方法，工作已取得超过200与钻头种不同形状，以改善其切削性能。一，石航模，谁提出通过改变主旋翼控制的主要前角分布边缘的方法，并于1990年提出为中华人民共和国驻钻了对点前角主旋翼发展到曲线的最大可能麻花钻刀片。 1987年，李司长位偏斜考虑的条件，以消除钻井过程中钻头为目标摇摆的现象，提出了钻头结构优化设计方法。 1995年，Selvamhe SV和Sujatha C的研究扭曲变形，有限元法演练几何优化的制定，使结构的变形参数的优化值最小位（钻孔直径25mm）如下：螺旋角39.776 °，凿角Ψ= 54 °〜80 °，前角120 °。 1997年，陈卫生间，一个特殊的切断厚型岩心钻，我们有足够的抗扭刚度，而且有合理的跨叶片主旋翼和前角分布。 2005年，保罗A，如人造确保优化钻头可加工，一磨钻点的新模型的参数，它的锥形钻头，雷达应答器和螺旋钻尖钻头表面优化，他们尽量少切削力。螺旋槽

2.3截截和加工工具计算

一九七五年，迪布纳LG可以简化为一次性砂轮切割螺旋型槽，槽提高加工精度和完全排除轮的影响直径和方法的改变。 1990年，埃曼钾长石基础上，提出了微分几何和螺旋槽截加工工具麻花钻运动学方法的原则。 1998年〜2003年，康区和Armarego伊科螺旋槽加工“是”和“反问题”（“从战壕截截寻求工具”和“的工具截截寻求海沟”）进行了直线研究边的设计和计算机辅助制造的计算机几何分析捻螺旋槽。关于

2.4基钻井液和微型钻头研究

一九八二年，沉杰等人成立了第一个钻井数学模型组。利用该模型，可以反复钻磨组。 1984年，陈吴钐L和9种典型演练小组进行研究，以提高钻井数学模型的基础，对计算机组钻井辅助设计成为可能。 1985年，小C和吴钐用电脑辅助小组进行的钻井优化设计的具体方法。 1987年，复哈诺夫提出了全面的二次曲面的有限元方法模型的设计和钻探方法的聚类分析。梁四川是一个以知识为基础的技术小组钻磨的CAD / CAM集成系统。 1991年，刘TI充分利用两个阶段的设计和加工机械轴注射组钻孔优化策略。 1994年，黄HT组和其他衍生钻井尖端法的工作和后角公式的前角，提出了审议边缘之间的钻探精确的几何模型库弧边缘的过渡区。 2001年，王GC和其他阻止一个倾斜的三个应用层面的办法，建立一种新的钻井数学模型，以解决现有模型的交叉边缘的几何不确定性问题，并确保该基地的设计团队成立钻井的机械加工。

1992年起，林荤，康水库，埃曼KF和其他钱培慧聪研究组，微生物组成的演练系统的研究上位。 1992年，他们成立了一个平面微型钻头相应的磨削方法的数学模型。 1993年，他们提出了螺旋面微钻头的数学模型和方法，研磨，结果发现，表面微螺旋钻头和切割的几何方面的表现均优于常用的微型飞机钻。 1997年，他们指出，用锋利的平面微钻：微型螺旋钻头，而两个好处：在对切削条件的工作分配相同点①，它允许更大的进给速度;②磨削方法的更多信息简单，不容易受到磨削误差的影响。 2002年，他们生产的微孔加工曲线形螺旋叶片侧翼系列演习。

3。钻削力模型

3.1钻削力

在过去几十年历史的建模，群众举报的钻探力量预测方法很多，其中大部分是用于标准麻花钻。由于缺乏先进的计算机和测量设备，早期研究的一个简单的扭矩和轴力的重点经验模型的建立，模型参数钻几何参数（如钻头直径）和切削参数，采用建模方法切削实验的使用武力的钻井统计方法拟合大量的经验公式。

利用钻井力模型分析成立人削减深入的逐渐形成过程的理解方法。 1955年，牛津记录微观主体演习照片横刃和芯片变形过程，并通过实验发现：钻井过程中，在三个领域，即主要地区存在演习来看，主要前沿领域，第一第二刀刃（交叉边缘）伐区和核心区附近的特征。后来，肖MC和牛津弯曲菌Jr证明凿在钻探的重要性，因为它产生了50％〜60％的轴向力。 1966年，库克信息NH提出半年与派生式钻井方法的分析方法。邵氏三菱商事（1962,1984），在芯片的变形机制，深入的芯片主要叶片模型变形位的基础研究。威廉姆斯铁（1974年）提出了单点二为基础的工具切割刀片的主切削力模型演练三维模型，并确定钻头直径描绘领域。 Armarego伊科（1972年）的斜角切削理论的应用，提出了平面钻切削力预测模型。 Wiriyacosol拧（1979年），下薄剪切带（剪切面）理论芯片变形等，将主要演练和横刃刀片切割作为一个模块在直角斜面或刀具系列组合条件通过这些模块的工具积累预测钻井切削力，即线性刀单位的合成方法。剪切停留在理论的基础上飞机，奥克斯利弯曲菌Jr（1959,1962年），Armarego伊科（1972,1979）和华生铁（1985年），分别设立了一个不同的钻井力模型集; Stepenson达（1988,1989年）提出的数学计算方法，钻探力量。钻削力

3.2建模的发展

钻削力模型的研究是作为所有新钻头的钻井技术的人不断深入发展。吴钐，谁建立了切削力模型库演练了很多工作要做。其中，李西南（1986年）和复哈诺夫（1987年）的工作，无论是主要切割斜角切削模型，第二尖端成直角使用切割模型，建立了优势，切削角一个钻石切削力模型组，黄羟色胺（1992年），谁提出了预测机械麻花钻组轴向力和扭矩的方法的一般模式。 Armarego伊科和赵会（1996年）设立一个标准麻花钻钻芯薄，瘦多取芯钻头和圆形槽边缘的中心麻花钻切削力预测模型。巴特纳格尔ñ（2004年）和其他研究使用四个不同的钻头钻各类各向异性纤维增强复合材料工件的意外损坏，一个钻井轴向力和扭矩模型。萨胡水库（2004年）和芯片组制成的其他断路器槽切削力预测模型，以四种不同的断屑槽钻校准，可以适用于任意形状的断屑槽位使用的模型锥演习。 Elhachimi M（下一九九九年）和直角斜切割的综合应用模式成立一个高跨领域的切削力模型位速度的转速4000r/min〜18000r/min，为0.12毫米饲料，/ ṛ〜0.36毫米/ r是实验结果与模型预测值一致。王唱片（1998年），由主旋翼的组成提出了别人，凿整个位动态力学性能的机组振动分析工具的优势，并据此建立了一个动态轴向力和扭矩预测模型振动钻削过程。

随着研究的不断深入，研究人员发现，由于结构性差异，在过去已建立了力学模型不应适用于新型的钻探。为此，Stepenson伤残津贴（1992年）一个单位的大量实验校准锥切削刀具车削力模型，设置任意形硬质合金刀片或一个灰铸铁镶嵌硬质合金钻头钻孔时，在主旋翼扭矩，轴向力和径向力预测模型。林的GC（1982年）和沃森铁（1985年）指出，钻探转矩和轴向力是由于低估了芯片的干扰，这一发现最终导致细胞合成工具选择的非线性，而且使用分析方法建立了复杂的切削力模型形刀片钻头可能。王JL（1994年），研究了削减芯片干扰的过程中，非线性综合工具单位申请，经验上的切削力模型的任意切削力模型伞刀形位刀片的一个小组，专门。

位除了基本的几何形状，一些因素钻井过程将会对钻井的影响力。 1996年，Chandrasekharan五，谁考虑了钻头制造和研磨，如两主旋翼线误差，半径误差，轴向位移等，建立一个完整的三维牙轮钻头切削力模型集，然后扩展对任意形状预测钻头（如钻探小组）切削力。 Sriramṛ，考虑到钻磨钻上的影响力条件安装错误，建立了钻径向力预报模型。 2001年，龚YP和埃曼亩建立全面的，考虑到钻头的几何特征，研磨和安装错误以及主要叶片和跨位斜切割刀片的厚度和切割区的动态影响微孔钻头轴向力，扭矩和径向力模型。钻削力

3.3建模方法

随着科技的进步，升式钻井力模型预测方法也在不断设置。 1997年，伊斯兰联盟，刘管委会提出的人工神经网络预测小组演练轴向力和扭矩的方法，训练数据直接从文献中提取。 2001年川S和其他人也提出了神经网络模型来估计和控制的轴向力钻井方法：①脱机轴向力建立一个神经网络模型;②对最小二乘法为基础，通过在线培训的模式，成立模拟神经控制器;③将接受神经控制系统在钻井使用的轴向力。 1999年，陈彦有限元分析的应用与刃口半径的倒角切割过程中一个有限的任意形状的刀片位任意划分钻头刀片形会议确定的模式，分析工具。 2004年，与欧拉有限元模型来模拟工具的前沿切削力单位组成Strenkowski JS和其他人提出利用有限元技术预测麻花钻轴向力和扭矩的方法。 2002年，杨JA等带有I - DEAS的CAE软件系统，以实现钻井过程仿真模型可以预测生龙活虎的力量。

4。研究和发展趋势

（1）钻井过程建模成为研究的热点

的钻探过程的影响，各种因素，包括钻几何，制造和安装错误，物理特性（静态和动态特性），切削条件，环境温度，工件尺寸和材料将逐步纳入建模，所以本研究的范围，所有演练各种基础，切削条件和边缘上的钻井过程中钻探，钻探温度，钻头磨损，寿命，芯片变形出院，在钻井质量，钻井效率的钻井成本等将成为钻井过程建模的目标，建模方法将更加多样化，预测模型，将进一步改善仅仅用于模拟，钻井模式不准确和预报，以及将更多的用于指导钻头设计，制造和优化钻井过程和监测。

（2）几何设计和制造方法是研究的重点位将

适合加工的材料和新型钻井工艺条件的品种将不断涌现，适用于微机械制造和印刷电路板制造微型位深入研究会。钻头集成制造系统的制造方法将是发展的方向，特别是钻头自动组磨削问题将得到解决，并特别注意的设计和制造的综合性，自动化和智能化。

（三）钻探机制将逐步受到重视

演练和钻探的钻井的钻头和钻井支持机制的制约机制，不断增长的需求过程中切削过程中的瓶颈，钻探是一个最复杂的加工过程要削减研究的基本原则，必然从转向更复杂的过渡钻探研究相对简单的研究。

Bits and drilling study the history, current situation and development trend of

Human understanding and use of the bit of history can be traced back to prehistoric times.燧人氏”钻木取火” stone used by drilling, can be seen as the most primitive bit. Modern industrial processing of the twist drill is widely used (commonly known as bits), is a complex shape of the real workpiece hole processing tools, was born in more than 100 years ago. Now, the annual consumption of all kinds all over the world hundreds of millions of bits. According to statistics, in the U.S. automobile manufacturing industry, machining processes in the proportion of drilling approximately 50%; while in the aircraft manufacturing industry, the proportion of drilling process is even higher. Despite such widespread use of drill bits, but is well known that drilling is the most complex machining methods. Precisely because of this, people have committed to drill bits and drilling to improve the process of research. Based on available English literature, the two grooves of the twist drill and drilling technology research history, current situation and development trends are reviewed.

1. The main areas of research and technical issues

in recent decades, it is about bits and drilling bits apart from the research materials of improvements, mainly concentrated in the following five aspects:

① bit mathematical models and geometric design research: including the spiral groove, flank, the main blade and chisel set up the mathematical model, the horizontal cut-off shape with the drill point of the optimization of structural parameters, the cutting angle (distribution) of the calculation and control, the bit structure static and dynamic characteristics analysis of drill point geometry and the cutting and performance study on the relationship between Chip.

② bit manufacturing methods research: including the drill bit geometric parameters and Flank the relationship between grinding parameters set up and optimization, manufacturing precision and grinding drill evaluation of the quality and manufacturing errors of measurement and control, drill spiral groove processing tools for the design and calculation truncatus, bit processing equipment, especially CNC grinding machine with the processing software development.

③ drilling drilling process and the quality of research: the impact of drilling process, including a variety of factors and the emergence of a variety of physical phenomena analysis, modeling and monitoring (such as drilling, and cutting edge of stress and temperature distribution measurement, modeling and forecasting); drill wear, drill breakage mechanism and life studies; bit of deformation, deflection, at the time of skidding into the drill and drill point swing phenomena research; drilling process (such as vibration drilling, high-speed drilling, deep hole drilling, drilling, such as the stability of the process) and the quality of drilling (hole location accuracy, straightness, surface roughness, Cylindricity, diameter, orifice deburring, etc.).

④ drilling mechanism with a wide range of high-performance drill bits (such as base drilling, gun drilling, drill bit do the cutting, porous, deep-hole drill bit, long drill bits, drill bits turning, synthetic material processing bits, woodworking drill bit, multi-spiral groove bit, etc.).

⑤ drilling process model verification and drill performance evaluation process automation, cutting conditions and drill bit shape selected database and knowledge base, such as set up.

At present, the most dynamic areas of research are bit mathematical model, the geometric design and manufacturing methods (equipment) research, drilling and drilling process modeling the quality of research.

2. Bit mathematical model and geometric design research

2.1 bits

set up the mathematical model of the mathematical model of drill bit geometry of the design, manufacture, cutting performance analysis and modeling of drilling process foundation. Mathematical model of the first bit by the Galloway DF proposed in 1957. He deduced the linear blade drill rake face of the parameter equation, give the main blade before and after the beveled chisel edge angle and the definitions, calculation formula and the measurement method, the “flank of the drill bit in the grinding process interaction with the grinding wheel after grinding cone formed part of “point of view. aided design program. 1972, Armarego EJA and found Rotenbery A: flank conical grinding method has four independent grinding parameters, and give a general geometric parameters of the drill point is only 3, so should not only determine the Drill Flank The shape and grinding parameters. To this end, they proposed to flank the end of gap angle as supplementary geometric parameters to obtain the only solution of grinding parameters. 1979, Tsai WD, and Wu SM prove: cone drill, Racon drill bits, screw bits and drill bits, etc. Bickford flank can be used to express conicoid and proposed that the drill geometry integrated mathematical model, the model can be used to control the grinding process. 1983, Radhakrishnan L et al proposed Cross Drill Drill flank of a mathematical model. They will flank flank into the first and second flank: on the first flank to Tsai model, set up an improved cone model; on the second flank, set up a a plane model. Fugelso MA has put forward cylindrical drill point of the mathematical model. 1985, Fuh KH and others set up a quadratic surface with the drill flank express mathematical model in order to use a computer designed to be ellipsoid, hyperboloid, cone, cylindrical or any combination of them.

a long time, people have to twist the main blade is designed to a straight line. 1990, Fugelso MA found that due to requirements of the main cone drill to straight edge, so close to the main Department coring blade angle becomes too small, if, before grinding to bits around its own axis of rotation 5 ° ~ 10 °, we can solve this problem, only the main blade will become slightly curved. The same year, Wang Y will be regarded as the main blade curves, the use of polynomial interpolation methods set up the spiral drill rake face geometry model. 1991, Lin C and Cao Z, a suitable straight edge and curves using conical, cylindrical and planar flank the integrated mathematical model of the twist drill. 1999, Ren KC and Ni J proposed binomial express arbitrary shape curves of the main blade, drill flank before the introduction of a new mathematical model, and vector analysis methods, set up a conicoid flank the grinding parameters and geometry the relationship between parameters.

2.2 bits of structural optimization

as a result of the extensive use of the cutting performance of the cone drill is not satisfactory, it has been working on its structure (parameters) and the grinding methods of improvement, has made more than 200 kinds of different shape with the drill bit so as to improve its cutting performance. One, Shi HM, who put forward by changing the main blade to control the angular distribution of the main pre-edge method, and in 1990 as ambassador to drill the development of the main blade on the anterior horn of the points are up to the maximum of the curve may twist drill blade. 1987, Lee SJ bit skewed considering the conditions, to eliminate the drilling process the drill point swing phenomenon as the goal, put forward the structure of the drill bit to optimize the design method. 1995, Selvamhe SV and Sujatha C twist deformation in the study, the use of finite element method drill geometry optimized drawn so that the smallest bit of structure deformation parameter optimization value (drill diameter of 25mm) as follows: helix angle 39.776 °, chisel angle Ψ = 54 ° ~ 80 °, front angle 120 °. 1997, Chen WC, a special cut-off thick-shaped coring drill, we have sufficient torsional stiffness, but also has a reasonable cross-blade main blade and the angular distribution of the former. In 2005, Paul A, such as man-made to ensure that the Optimize drill machinability, a grinding parameters based on the new drill point model, and its conical drill point, Racon drill point and spiral drill point surface is optimized to them to minimize the cutting force. spiral groove

2.3 truncatus truncatus and processing tools for the calculation of

1975 years, Dibner LG can be simplified to a grinding wheel cut-off spiral-shaped groove, the groove improve processing accuracy and be completely ruled out the effects of wheel diameter and changes in methods. 1990, Ehmann KF proposed based on the principle of differential geometry and kinematics of the spiral groove twist drill for machining tools truncatus method. 1998 ~ 2003, Kang DC, and Armarego EJA machining of spiral grooves “are” and “inverse problem” ( “from a trench truncatus truncatus seek tools” and “by the tool truncatus truncatus seek trench”) conducted a study on a straight-edged twist spiral grooves in the design and manufacture of computer-aided geometric analysis. About

2.4 base drilling and micro-drill study

1982 years, Shen J et al set up a group of drilling the first mathematical model. Using this model, it can be repeated to drill grinding group. 1984, Chen L and Wu SM group of nine kinds of typical drill conducted a study to improve the base of the mathematical model of drilling, drilling for the group of computer-aided design possible. 1985, Hsiao C, and Wu SM made with computer-assisted group of drilling carried out to optimize the design of specific methods. 1987, Fuh KH presents a comprehensive conicoid finite element method model and the design and analysis of cluster drilling methods. Liang EJ is a Knowledge-based technology group drill grinding CAD / CAM integrated system. 1991, Liu TI uses a two-stage strategy for the design and optimization of a processing machine axis injection hole drilled by group. 1994, Huang HT group and others derived drilling cutting edge work of law and the posterior horn anterior horn of the formula, put forward for consideration of edge and arc transition zone between the edge of the base drilling precise geometric model. 2001, Wang GC and others block the application of a tilted three-dimensional approach, set up a group of drilling a new mathematical model to solve the existing model of cross-edge geometry of the problem of uncertainty, and ensure the design of the base drilling machinability .

1992 onwards, Lin C, Kang SK, Ehmann KF and others Chyan HC Study Group, composed of micro-drill bits on a systematic study. In 1992, they set up a planar micro-drill point mathematical model of the corresponding grinding method. In 1993, they raised spiral surface micro-drill point grinding of mathematical models and methods, and found that surface micro-spiral drill point and cutting performance in the geometric aspects are better than commonly used micro-Plane Drill. In 1997, they pointed out: micro-helical drill point with a sharp planar micro-drilling, compared with two advantages: ① in the same point of the distribution of the work of cutting conditions, it allows greater feed rate; ② grinding method more simple, not vulnerable to the effects of grinding error. In 2002, they produce processing microporous with curve-shaped spiral blade flank series Drill.

3. Drilling Force Modeling

3.1 Drilling Force

the history of modeling in the past few decades, people reported a lot of drilling force prediction methods, most of which are applied to the standard twist drill of the. Due to the lack of advanced computers and measuring equipment, early research focused on the establishment of a simple empirical model of torque and axial force, the model parameters is to drill geometry parameters (such as drill diameter) and cutting parameters, modeling method is adopted a large number of cutting experiments using statistical methods of drilling force fitting empirical formula.

using analytical methods of drilling force model set up as people are cutting in-depth understanding of the process of gradually emerging. 1955, Oxford recorded by micro-photographs of the main drill chisel edge and the chip deformation process, and through experimental discovery: drilling process, drill point in the existence of three main regions of the cutting, that is, the main cutting edge area, the first Second Cutting Edge (Cross Edge) Cutting area and near the core zone characterization. Later, Shaw MC and Oxford CJ Jr proved chisel in the importance of drilling, because it produced a 50% ~ 60% of the axial force. 1966, Cook NH proposed a semi-analytical method with derived formula drilling method. Shaw MC (1962,1984), in chip deformation mechanism of an in-depth study on the basis of a bit of chip deformation of the main blade model. Williams AR (1974 years) has proposed a tool based on the single-point two-dimensional model of the drill cutting blade main cutting force model, and to determine the drill diameter depiction area. Armarego EJA (1972 years) the application of oblique cutting theory, put forward a Plane Drill cutting force prediction model. Wiriyacosol S (1979 years) and others under the chip deformation of thin shear zone (shear plane) theory, will drill the main blade and chisel edge and cutting conditions as a series of modules on the right-angle bevel or a combination of cutting tool, through accumulation of these modules tool to forecast drilling cutting force, namely the linear cutter unit synthesis method. Shear plane in the basis of theory, Oxley CJ Jr (1959,1962 years), Armarego EJA (1972,1979) and Waston AR (1985 years), respectively, set up a different drilling force model; Stepenson DA (1988,1989 years) made the mathematical calculation met…

Tags: cutting, drill, drilling, model