中低速数控铣削参数优化技术研究及应用

采用平均铣削力系数模型对数控加工过程中的铣削力进行仿真预测.在此基础上,综合考虑数控加工过程中机床、刀具以及工件3方面限制加工效率的因素,对主轴转速、进给速度、径向切宽以及轴向切深4个参数进行优化.利用VC与Matlab编程,开发了"中低速数控铣削过程力学仿真与参数优化系统".针对航空难加工材料GH4169,在SandviK推荐参数基础上进行仿真优化.结果表明,基于力学仿真的数控铣削参数优化技术在难加工材料加工中可提高加工效率12%～378%.     

Cutting force prediction for circular end milling process

A deduced cutting force prediction model for circular end milling process is presented in this paper. Traditional researches on cutting force model usually focus on linear milling process which does not meet other cutting conditions, especially for circular milling process. This paper presents an improved cutting force model for circular end milling process based on the typical linear milling force model. The curvature effects of tool path on chip thickness as well as entry and exit angles are analyzed, and the cutting force model of linear milling process is then corrected to fit circular end milling processes. Instantaneous cutting forces during circular end milling process are predicted according to the proposed model. The deduced cutting force model can be used for both linear and circular end milling processes. Finally, circular end milling experiments with constant and variable radial depth were carried out to verify the availability of the proposed method. Experiment results show that measured results and simulated results corresponds well with each other.     

CFRP铣削有限元模型建立及切削力仿真分析

为探索碳纤维增强树脂基复合材料(CFRP)铣削加工过程中切削力与工艺参数之间的映射关系,建立CFRP铣削加工有限元仿真模型并对切削力进行分析。基于ABAQUS软件通过定义材料属性、材料失效模型、纤维铺层数和纤维方向建立了CFRP铣削加工二维有限元仿真模型,并对该模型进行了实验验证。基于该模型,分析了切削力与纤维方向角、铣削速度、每齿进给量和刀具前角等工艺参数之间的映射关系。仿真结果表明:纤维方向角从0°增大到90°,切削力呈现降低趋势,而纤维方向角从90°增大到180°,切削力呈现增大趋势。随着切削速度和每齿进给量的增大,切削力随之增大,而随着刀具前角增大,切削力随之减小。     

Analytical model of cutting force in axial ultrasonic vibration-assisted milling in-situ TiB2/7050Al PRMMCs

Ultrasonic vibration-assisted milling has been widely applied in machining the difficult-to-cut materials owing to the remarkable improvements in reducing the cutting force. However, analytical models to reveal the mechanism and predict the cutting force of ultrasonic vibration-assisted milling metal matrix composites are still needed to be developed. In this paper, an analytical model of cutting force was established for ultrasonic vibration-assisted milling in-situ TiB₂/7050Al metal matrix composites. During modeling, change of motion of the cutting tool, contact of tool-chip-workpiece and acceleration of the chip caused by ultrasonic vibration was considered based on equivalent oblique cutting model. Meanwhile, material properties, tool geometry, cutting parameters and vibration parameters were taken into consideration. Furthermore, the developed analytical force model was validated with and without ultrasonic vibration milling experiments on in-situ TiB₂/7050Al metal matrix composites. The predicted cutting forces show to be consistent well with the measured cutting forces. Besides, the relative error of instantaneous maximum forces between the predicted and measured data is from 0.4% to 15.1%. The analytical model is significant for cutting force prediction not only in ultrasonic-vibration assisted milling but also in conventional milling in-situ TiB₂/7050Al metal matrix composites, which was proved with general applicability.     

Prediction of cutting forces in ball-end milling of 2.5D C/C composites

Machining of carbon/carbon (C/C) composite materials is difficult to carry out due to its high specific stiffness, brittleness, anisotropic, non-homogeneous and low thermal conductivity, which can result in tear, burr, poor surface quality and rapid wear of cutters. Accurate and fast pre-diction of cutting forces is important for milling C/C composite materials with high quality. This paper presents an alternative cutting force model involving the influences of the directions of fiber. Based on the calculated and experimental results, the cutting forces’ coefficients of 2.5D C/C com-posites are evaluated using multiple linear regression method. Verification experiment has been car-ried out through a group of orthogonal tests. Results indicate that the proposed model is reliable and can be used to predict the cutting forces in ball-end milling of 2.5D C/C composites.     

Five-axis flank milling tool path generation with curvature continuity and smooth cutting force for pockets

In order to ensure machining stability, curvature continuity and smooth cutting force are very important so as to meet the constraints of both cutting force and kinematics of machine tools. For five-axis flank milling, it is difficult to meet both of the constraints because tool path points and tool axis vectors interact with each other. In this paper, multiple relationships between tool path points and tool axis vectors with cutting force and kinematics of machine tools are established, and the strategies of corner-looping milling and clothoidal spirals are combined so as to find feasible solutions under both of the constraints. Tool path parameters are iterated by considering the maximum cutting force and the feasible range of the tool axis vector, and eventually a curvature continuity five-axis flank milling tool path with smooth cutting force is generated. Machining experimental results show that the conditions of cutting force are satisfied, vibration during the process of machining is reduced, and the machining quality of the surface is improved.     

Prediction of cutting forces in flank milling of parts with non-developable ruled surfaces

Predicting the cutting forces required for five-axis flank milling is a challenging task due to the difficulties involved in determining the Undeformed Chip Thickness(UCT) and CutterWorkpiece Engagement(CWE). To solve these problems, this paper presents a new mechanistic cutting force model based on the geometrical analysis of a flank milling process. In the model,the part feature and corresponding cutting location data are taken as input information. The UCT considering cutter runout is calculated according to the instantaneous feed rate of the element cutting edges. A solid-discrete-based method is used to precisely and efficiently identify the CWE between the end mill and the surface being machined. Then, after calibrating the specific force coef-ficients, the mechanistic milling force can be obtained. During the validation process, two practical operations, three-axis flank milling of a vertical surface and five-axis flank milling of a nondevelopable ruled surface, are conducted. Comparisons between predicted and measured cutting forces demonstrate the reliability of the proposed cutting force model.     

Chatter stability prediction in four-axis milling of aero-engine casings with bull-nose end mill

An analytical model for chatter stability prediction in bull-nose end milling of aero-engine casings is presented in this paper. And the mechanics and dynamics variations due to the complex cutter and workpiece geometry are considered by analyzing the effects of the lead angle on the milling process. Firstly, the tool-workpiece engagement region is obtained by using a previously developed method and divided into several disk elements along the tool-axis direction.Secondly, a 3D dynamic model for stability limit calculation is developed and simplified into a 1D model in normal direction considering only the dominant mode of the workpiece. Then the cutting force coefficients, the start and exit angles corresponding to each disk element are determined. And the total stability lobe diagram is calculated using an iterative algorithm. Finally, several experimental tests are carried out to validate the feasibility and effectiveness of the proposed prediction approach.     

单向CFRP螺旋铣削力建模

螺旋铣削加工工艺具有降低轴向力,改善排屑、散热条件等优点,螺旋铣削力是其重要过程指标之一。对单向CFRP螺旋铣削力建模方法展开研究,预测给定加工参数下的螺旋铣削力。首先,通过对螺旋铣削过程进行运动学分析和切屑几何分析,建立了螺旋铣削过程中侧刃、底刃动态切屑层模型,纤维切削方向角度模型和动态切削力计算模型。然后,分别通过侧刃直线槽铣实验和底刃半齿插铣实验,对各个切削方向角度下侧刃、底刃切削力系数进行了标定,并利用人工神经网络对切削力系数进行拟合。最后,将标定所得的切削力系数代入动态切削力计算模型中,建立了单向CFRP螺旋铣削过程动态切削力预测模型,并通过实验验证了模型的准确性。与现有模型相比,该模型不仅能够预测刀具螺旋运动周期内的切削力变化情况,还可以对每个刀具自转周期内的细节进行预测,通过考虑纤维切削方向角度对切削力系数的影响,反映了单向CFRP材料的各向异性,较为准确地预测了螺旋铣削力。     

立铣切削力分类研究及精确铣削力模型的建立

 提出了一种根据切削力变化曲线的形状特征精确建立铣削力预测模型的方法。以立铣加工过程为研究对象，基于静力模型，研究铣削力的变化规律和切削用量的关系，总结了6种不同切深组合下的铣削力类型并分别给出理论的切削力随刀具旋转的变化曲线图，基于切削力交叠程度又将切削力细分为10类。在此基础上通过定义切削力分析指标，得到了基于切削力曲线形状特征的实际切深的计算方法。根据理论分析结果，提出在不同切深组合下分别建立铣削力模型的观点，实际切深的应用使得模型更加精确,更重要的是根据该切削力分类来组织试验，针对性加强，试验数据更可信。通过合理安排试验，验证了该理论的正确性。     

SiC_p/Al复合材料高速铣削切削力模型建立

使用聚晶金刚石(PCD)刀具并采用正交试验设计法,对含不同体分比的碳化硅颗粒增强铝基复合材料(SiCp/2009Al)进行高速铣削试验。在测量切削力和切屑厚度的基础上,建立了剪切角、剪切应力和摩擦角的预测模型,并结合金属切削基本理论公式建立了切削力的预测模型。该模型包含铣削速度、每齿进给量、径向切宽、增强颗粒体分比等重要参数,模型对进给方向最大铣削力预测值的平均误差为5.9%,对铣刀径向切深方向最大铣削力预测值的平均误差为9.2%,皆高于普通经验公式的预测精度,从而可对SiCp/2009Al复合材料高速铣削时的铣削力进行有效预测。     

圆片刀超声切削Nomex蜂窝芯的切削力和表面质量研究

为了研究圆片刀加工参数对切削力和表面质量的影响,首先对圆片刀超声切削和普通切削的切削力进行了理论分析,在此基础上开展了圆片刀超声切削Nomex蜂窝芯试验,获得了进给速度、刀具转速和超声振幅对切削力的影响规律。进一步以蜂窝芯孔壁撕裂数量和长度作为加工表面质量的表征参数,定量研究了加工参数对于蜂窝芯表面质量的影响。试验结果表明:普通切削条件下,增大刀具转速和减小进给速度可以有效降低切削力;随着超声振幅的增大,切削力显著减小,相比普通切削,当超声振幅为35μm时,进给方向的切削力和刀具轴向的切削力分别减小53.1%和33.9%;切削力试验结果与理论分析结果一致。此外,Nomex蜂窝芯孔壁撕裂数量随着刀具转速的增大和进给速度的降低而减少,超声振动作用可以有效减少蜂窝芯孔壁撕裂的数量和长度。研究为圆片刀超声切削Nomex蜂窝芯的加工参数的选择提供参考。     

镗削碳纤维复合材料时切削用量对切削力及孔出口撕裂的影响

采用PCD刀具对碳纤维复合材料(CFRP)进行了镗削加工试验,分析了切削用量对切削力、孔出口撕裂因子(撕裂值与孔直径的比值)的影响规律.试验结果表明,三向切削力随背吃刀量、进给量、切削速率的增大而增大.经分析认为,切削速率的增大引起待加工材料的屈服应力增大.由于刀尖圆弧半径较大,试验中出现背向力大于主切削力的现象;撕裂因子与背吃刀量基本无关;进给量与撕裂因子呈线性正相关;当切削速率增大时撕裂因子呈减小趋势,并且减小到一定程度后基本不变;采用PCD刀具镗削加工该材料能够有效地减小孔出口撕裂程度.     

A multi-order method for predicting stability of a multi-delay milling system considering helix angle and run-out effects

In this paper, a multi-delay milling system considering helix angle and run-out effects is firstly established. An exponential cutting force model is used to model the interaction between a work-piece and a cutting tool, and a new approach is presented for accurately calibrating exponential cutting force coefficients and cutter run-out parameters. Furthermore, based on an implicit multi-step Adams formula and an improved precise time-integration algorithm, a novel stability prediction method is proposed to predict the stability of the system. The involved time delay term and periodic coefficient term are integrated as a comprehensive state term in the integral response which is approximated by the Adams formula. Then, a Floquet transition matrix with an arbitrary-order form is constructed by using a series of matrix multiplication, and the stability of the system is determined by the Floquet theory. Compared to classical semi-discretization methods and full-discretization methods, the developed method shows a good performance in convergence, efficiency, accuracy, and multi-order complexity. A series of cutting tests is further carried out to validate the practicability and effectiveness of the proposed method. The results show that the calibration process needs a time of less than 5 min, and the stability prediction method is effective.     

New Cutting Force Modeling Approach for Flat End Mill

A new mechanistic cutting force model for flat end milling using the instantaneous cutting force coefficients is proposed. An in-depth analysis shows that the total cutting forces can be separated into two terms: a nominal component independent of the runout and a perturbation component induced by the runout. The instantaneous value of the nominal component is used to calibrate the cutting force coefficients. With the help of the perturbation component and the cutting force coefficients obtained above, the cutter runout is identified. Based on simulation and experimental results, the validity of the identification approach is demonstrated. The advantage of the proposed method lies in that the calibration performed with data of one cutting test under a specific regime can be applied for a great range of cutting conditions.     

Time-domain modeling of a cutter exiting a workpiece in the slot milling process

In a milling operation, there must be processes of a cutter entering and exiting the work-piece boundary. The cutter exit is usually in the feed direction and the dynamic response is different from that in the normal cutting process. This paper presents a new time-domain modeling of mechanics and dynamics of the cutter exit process for the slot milling process. The cutter is assumed to exit the workpiece for the first time with one tooth right in the feed direction. The dynamic chip thickness is summed up along the feed direction and compared with the remaining workpiece length in the feed direction to judge whether the cutter is ready to exit the workpiece or not. The developed model is then used for analyzing the cutting force and machining vibration in the cutter exit process. The developed mathematical model is experimentally validated by comparing the simulated forces and vibrations against the measured data collected from real slotting milling tests. The study shows that stable cutting parameters cannot guarantee stable cutting in a cutter exit process and further study can be performed to control the vibration amplitude in this specific process.     

基于响应曲面法的高速内冷铣削AISI304不锈钢铣削力

针对硬质合金刀具高速内冷铣削AISI304不锈钢时,切削力大、切削温度高及加工表面质量低的问题。基于响应曲面中心复合设计方法进行高速内冷铣削实验,建立了铣削力分量二阶回归预测模型,并进行了实验验证。对比了干式与内冷铣削后的加工表面质量,分析了铣削参数对铣削力分量的影响规律,以铣削力分量最小为目标优化了铣削参数。结果表明:进给力和径向力的预测值与实验值的误差分别为4. 77%和6. 16%;内冷铣削的Ra为0. 193～0. 327μm;对铣削力分量的影响是铣削深度转速进给量,随着铣削深度和转速的增加,进给力先升高后降低,径向力逐步增加,铣削深度与转速的交互作用对进给力和径向力的影响显著;转速11 643. 63 r/min、铣削深度1 mm、进给量0. 08 mm/r为最优铣削参数组合。     

Cutting tool temperature prediction method using analytical model for end milling

Dramatic tool temperature variation in end milling can cause excessive tool wear and shorten its life, especially in machining of difficult-to-machine materials. In this study, a new analyt-ical model-based method for the prediction of cutting tool temperature in end milling is presented. The cutting cycle is divided into temperature increase and decrease phases. For the temperature increase phase, a temperature prediction model considering real friction state between the chip and tool is proposed, and the heat flux and tool-chip contact length are then obtained through finite element simulation. In the temperature decrease phase, a temperature decrease model based on the one-dimension plate heat convection is proposed. A single wire thermocouple is employed to mea-sure the tool temperature in the conducted milling experiments. Both of the theoretical and experi-mental results are obtained with cutting conditions of the cutting speed ranging from 60 m/min to 100 m/min, feed per tooth from 0.12 mm/z to 0.20 mm/z, and the radial and axial depth of cut respec-tively being 4 mm and 0.5 mm. The comparison results show high agreement between the physical cutting experiments and the proposed cutting tool temperature prediction method.     

整体叶盘盘铣加工切削力及刀具磨损实验研究

本文对整体叶盘开槽粗加工时从切削速度、进给量、径向切深等切削参数对切削力的影响进行研究。选用正交实验的方法进行盘铣切削实验,得到切削参数对切削力的影响变化规律,并对刀具在切削过程中的磨损进行分析,进一步验证优化的切削参数,为整体叶盘的盘铣加工参数的合理制定与加工工艺的优化提供参考。     

铣削过程多参数监测策略研究

 通过在时域和频域对端铣过程铣削力和铣削振动信号特征的分析,提取出对铣刀磨损和破损状态变化十分敏感的特征参量,在此基础上提出了由基于铣削力的“时段比值”监测策略和基于铣削振动的“硬件比较”监测策略组成的多参数监测策略。