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.     

Mechanistic identification of cutting force coefficients in bull-nose milling process

An improved method to determine cutting force coefficients for bull-nose cutters is proposed based on the semi-mechanistic cutting force model. Due to variations of cutting speed along the tool axis in bull-nose milling, they affect coefficients significantly and may bring remarkable discrepancies in the prediction of cutting forces. Firstly, the bull-nose cutter is regarded as a finite number of axial discs piled up along the tool axis, and the rigid cutting force model is exerted. Then through discretization along cutting edges, the cutting force related to each element is recalculated, which equals to differential force value between the current and previous elements. In addition, coefficient identification adopts the cubic polynomial fitting method with the slice elevation as its horizontal axis. By calculating relations of cutting speed and cutting depth, the influences of speed variations on cutting force can be derived. Thereby, several tests are conducted to calibrate the coefficients using the improved method, which are applied to later force predictions. Eventually, experimental evaluations are discussed to verify the effectiveness. Compared to the conventional method, the results are more accurate and show satisfactory consistency with the simulations. For further applications, the method is instructive to predict the cutting forces in bull-nose milling with lead or tilt angles and can be extended to the selection of cutting parameters.     

Feedrate scheduling method for constant peak cutting force in five-axis flank milling process

It is extremely important to select appropriate feedrates for the stable machining of parts with ruled surface in modern aviation industrial applications. However, the current studies take too much time to achieve this goal. Therefore, this paper presents an efficient feedrate optimization method for constant peak cutting force in five-axis flank milling process. The solution method of the instantaneous undeformed chip thickness (IUCT) is proposed using least squares theory with the cutter entry angle and feedrate as variables. Based on this method, an explicit analytical expression of the peak cutting force for each cutting point is established. Furthermore, a feedrate scheduling method is developed to quickly solve the appropriate feedrate under constant peak cutting force. To verify the proposed IUCT model, the fitting IUCT is compared with the accuracy data at different feedrates. Additionally, some experiments of five-axis flank milling are conducted to demonstrate the effectiveness of the peak force model and the feedrate scheduling method. And the surface roughness before and after feedrate scheduling is detected. The results show that the proposed feedrate scheduling method can quickly adjust the feedrate and ensure constant peak force during machining. At the same time, the surface quality is kept at a high level.     

薄壁件周铣切削力建模与表面误差预测方法研究

薄壁件加工变形是影响加工精度与质量的关键因素,而切削力建模则是预测表面加工误差的基础。针对两种典型的切削力模型,系统地研究了薄壁件周铣加工过程中切削力变化及表面变形误差分布的有限元计算方法,提出了基于三维非规则网格的刀具/工件变形的耦合迭代格式以及恒定网格下材料去除效应的变刚度处理方法等关键技术,仿真过程充分考虑了切屑厚度变化及不同切削参数对预测结果的影响。以典型钛合金航空材料构件为例,数值计算结果与实验参考数据比较表明,两种切削力模型对同一切削过程的预测均具有很好的一致性。     

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.     

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.     

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。     

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.     

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。     

球头铣刀铣削力仿真技术研究

建立了适合任意进给方向的球头铣刀铣削力模型,并将铣削力仿真与几何仿真有机地结合起来,提出了快速准确地提取参与切削的切削微元的方法,并通过切削实验验证了铣削力模型。     

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.     

钛合金螺旋铣孔孔径偏差研究

螺旋铣孔是航空航天领域新出现的制孔技术,其切削过程中会产生径向切削力,从而引起刀具变形并造成孔径偏差。针对该问题开展了钛合金螺旋铣孔孔径偏差试验,分析了包括进给方向在内的不同加工参数对孔径偏差的影响规律;基于螺旋铣孔运动学原理对不同进给方向下的材料去除过程和径向切削力方向进行了研究,分析了不同进给方向下的孔径偏差变化规律及形成原因,并设计切削力试验进行了验证;通过分析不同加工参数下的未变形切屑形状及径向切削力变化情况,研究了各加工参数对孔径变化趋势的影响规律。研究结果表明,当进给方向为顺时针时,刀具受背离孔心的径向切削力的作用向孔径外侧发生挠曲变形,导致所加工孔径大于理论孔径;当进给方向为逆时针时则相反。进给速度和导程的增加将加剧孔径偏差,切削速度的增加则会减弱孔径偏差。     

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。     

基于多参量状态信息融合的刀具磨损状态智能识别

鉴于刀具磨损监控在自动化生产中的重要性,建立了基于切削力和基于相对切削时间的两种磨损检测模型．切削力模型是利用回归算法和模糊分类技术建立的,通过检测切削力信号可在线识别刀具磨损状态．基于相对切削时间模型利用回归技术直接建立刀具磨损量与切削参数及时间的关系,可在较大的切削条件变化范围内实现对刀具磨损的识别．     

基于Z-map模型的球头铣刀铣削力建模与仿真

对球头铣刀铣削力建模进行了研究。在Z-map仿真模型的基础上,提出了识别加工中参与切削的切削刃单元的方法,通过考虑刀具偏心和刀具变形对瞬时切削厚度的影响,推导出了瞬时切削厚度的表达式,由铣削力和切削负载之间的关系,建立了球头铣刀三轴铣削力仿真模型。铣削力仿真计算与铣削实验的对比表明在考虑刀具偏心和刀具变形后所建立的铣削力模型能够对铣削力进行准确的预测。     

单点金刚石铣削KDP晶体实验研究

通过实验研究了KDP晶体铣削加工的切削力特性,分析了切削深度、进给量对切削力的影响,并对KDP晶体和铝合金的切削力进行了比较。结果表明,在不影响加工表面质量的前提下,可以适当加大切削深度和进给量从而提高切削效率。     

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.     

不同刀具车削加工高硅氧玻璃纤维/酚醛树脂切削力研究

为探索高硅氧玻璃纤维/酚醛树脂复合材料的切削加工性能,对该类材料进行大直径薄壁回转类零件的车削加工。采用四种不同刀具进行实验研究,获得了不同切削参数及不同刀具材料对切削力的影响规律。试验结果表明:切削用量三要素中,切削深度对切削力的影响最大,其次是进给量,而切削速度的影响很小。当切削速度为119.32 mm/min、进给量为0.1 mm/r、背吃刀量为0.5 mm时,为最优切削参数。Ti-Al-Si-N纳米涂层硬质合金和超硬材料F2HX无涂层硬质合金刀具适合于低速加工,而PCD刀具则适合于高速加工。     

基于遗传算法的机器人负载重力补偿优化算法研究

航空航天装配领域,利用安装在机器人末端的六维力传感器来感知外力是实现工业机器人柔顺装配的关键技术之一,而负载的存在会干扰对外力的感知。针对工业机器人末端负载的重力补偿,提出一种基于遗传算法的重力补偿优化算法。此方法以误差平方和最小为目标建立了最优解模型,利用遗传算法求解,最终可以在不使用测量仪器的情况下,估计力传感器安装偏角,提高重力补偿精度。同时设计了特定的机器人测量姿态来减少系统误差。试验表明,优化算法可以补偿任意角度的力传感器安装偏角,与补偿前相比,各方向最大重力补偿误差及平均重力补偿误差都有所减小。     

旋转超声钻削碳纤维复合材料钻削力和扭矩的研究

针对碳纤维增强树脂基复合材料(CFRP)加工过程中的问题,对金刚石套料钻旋转超声钻削CFRP-T700型复合材料展开了研究。研究发现,钻削力随主轴转速的增加具有减小的趋势,而扭矩则随着主轴转速的增加,呈现增大的趋势;与传统加工相比,旋转超声振动钻削可降低切削力及扭矩达56.6%和39.1%,有效抑制加工缺陷的产生。初步建立了切削力和扭矩之间的数学模型,并通过试验对切削力和扭矩之间的比例常数k加以验证。研究结果表明,旋转超声钻削CFRP在降低切削力和扭矩方面有较大优势。