基于接触区域的球头铣刀颤振稳定域预报方法研究

运用半解析法精准搭建出球头铣刀与工件接触区域边界的投影方程,对铣削系统时滞动力学方程进行全离散时域数值求解,在单齿周期内球头铣刀视为圆弧切削的基础上,通过接触区域投影和切削刃投影不同时刻的关系,确定出数值求解方程中所需要的瞬时参与切削刀刃的实际切削部位,利用Floquet定理获得了不同转速下的临界切削深度,构建出了高精度的球头铣刀颤振稳定域叶瓣图,并在三轴数控机床上进行了试验验证,试验结果与预测结果相符合,表明了该方法的正确性。同时,与传统方法相比,这里所提供的方法拥有较高的预测精度,最后分析了不同参数对颤振稳定域的影响规律,为叶瓣图指导实际加工奠定了基础。     

基于增强型完全离散法的球头铣刀五轴加工稳定域建模方法研究

基于坐标变换思想,精准高效地提取出球头铣刀五轴数控加工过程中与工件接触区域,利用增强型完全离散法获得铣削动力学方程的时序表达式,实现了效率和精度的共同兼顾,在单齿周期内球头铣刀视为圆弧切削的基础上,由刀刃与接触区域不同时刻的关系,确定出时域方程中所需要的瞬时切出角,借助于Floquet定理构建出了球头铣刀存在前倾角和侧倾角时的加工稳定域叶瓣图,并对其进行了有效性试验验证,试验结果与预测结果相符合,表明了该方法的正确性。     

考虑变时滞效应的弱刚度球头铣刀铣削稳定性研究

弱刚度球头铣刀广泛应用于深腔模具零件的铣削中,加工过程中容易发生颤振,确定加工稳定域是实现稳定铣削的重要手段,但该铣削系统具有变时滞特点,稳定性分析的难度较大,制约着加工质量的提高。为此,提出一种弱刚度球头铣刀铣削稳定性分析方法。首先,建立弱刚度刀具系统的动力学方程;接着,基于Newton-Raphson求解出刀齿选定点的时滞量;最后,基于全离散法提出考虑变时滞再生效应的稳定性分析方法,并利用Floquet定理获得了不同转速所对应的临界切深,构建出铣削稳定性叶瓣图。实验结果表明在叶瓣图的非稳定域铣削时铣削力中含颤振频率成分,所加工表面的S_y和S_a比稳定域内加工表面增大35%和42%,说明该分析方法是可靠的,可为切削参数的选择和优化提供依据。     

正交车铣偏心加工三维颤振稳定性的研究

针对正交车铣复杂运动产生变深度、变厚度的切削特性,基于其加工原理采用解析法提出三维颤振稳定域的理论模型.在模态试验基础上,仿真分析正交车铣偏心加工颤振稳定域叶瓣图,结果表明正交车铣加工产生颤振的条件除了与铣刀几何形状和啮合条件、机床结构的频响应函数、工件材料特性等有关外,主要与铣刀轴转速和切削深度密切相关.在正交车铣切削颤振稳定域试验过程中,切削力频谱分析的结果表明:当刀齿切入频率在力频谱中起主导作用时,切削过程是无颤振和稳定的;当系统结构模态频率在力频谱中起主导作用时,将产生颤振并测得切削力和表面粗糙度值都大于或高于无颤振情况.因此该理论模型及仿真结果可以有效预测正交车铣偏心加工颤振稳定性,为其加工表面质量和加工效率提供理论指导.     

立铣加工钛合金颤振稳定域的研究

为了优化铣削加工中的切削参数来减小或避免再生颤振的发生,在切削加工再生颤振理论的研究基础上,以硬质合金立铣刀粗加工钛合金TA15为研究对象,建立了刀具的动力数学模型,对再生颤振稳定域在频域内进行求解;对再生颤振稳定域解析算法进行程序设计,通过提供由动态铣削实验获得的铣削力系数和由模态分析实验获得的模态参数等程序所需参数计算得到与主轴转速和轴向切深二者相关的颤振稳定域叶瓣图;最后通过对钛合金TA15进行立铣加工实验验证了颤振稳定域解析算法的准确性。     

基于铣削力仿真的稳定域叶瓣图构建

颤振稳定域分析的叶瓣图构建为铣削过程中参数优化的基础,但对于实际加工来说,铣削力不易通过测试获取。针对此问题,展开了基于铣削力仿真的叶瓣图构建方法研究。首先,通过有限元仿真模拟实际铣削过程,得到铣削力大小以及铣削力系数;其次,通过模态试验获取主轴-刀具系统的模态参数,再以铣削系数和模态参数为基础,构建铣削稳定性叶瓣图;最后,结合实际铣削加工的试验测试验证了叶瓣图的正确性。本研究可为优化切削参数、抑制实际铣削过程中颤振的产生提供参考,不仅可以提高工件的加工效率,也增强了系统的稳定性。     

基于刀尖模态的Al-7075铣削颤振稳定性预测研究

针对切削加工中的颤振问题,以铣削加工Al-7075为例,通过刀尖模态分析、模态参数识别,获得了铣削加工Al-7075的颤振稳定性叶瓣图(Lobes图)。通过设计信号采集实验,对颤振电压信号和铣削力信号进行采集并对颤振进行实验表征,进而验证稳定域预测的准确性。研究表明,切削加工Al-7075过程中,颤振易发生在低转速区,提高主轴转速及合理加大轴向切深可提高生产率和加工质量,从而验证了Lobes图中稳定域预测的有效性。     

考虑扭转振动的铣削稳定性建模与仿真研究

基于建立的考虑扭转振动的铣削动力学模型,采用半离散时域方法对模型求解,获得了铣削过程稳定性叶瓣图。进行了颤振稳定性验证试验,试验与仿真结果的一致证实了所建模型及仿真程序的正确。对比是否考虑扭振的稳定性叶瓣图发现,当采用弱刚性刀具加工时,考虑扭振会在很大程度上降低了临界稳定切削深度。考虑扭转振动的铣削稳定性仿真可为工程应用提供一种可行的解决方案。     

基于稳定性分析的分层不等齿距铣刀加工参数优化

针对分层不等齿距铣刀的加工稳定性进行了研究,建立二维加工过程的动力学模型,利用改进的半离散法推导分层不等齿距铣刀稳定叶瓣图绘制的公式。根据刀具齿空间分布与动态特性,求解获得加工稳定性叶瓣图。通过稳定性叶瓣图确定最优加工参数,并试验验证了最佳加工参数的正确性。     

基于改进完全离散化法铣削系统稳定性研究

颤振是影响铣削质量和切削效率的重要因素之一。为提高铣削颤振预测精度，提出一种改进的完全离散化方法(U-FDM)，基于二阶Lagrange多项式对刀具—工件铣削动力学系统时滞微分方程的延迟项和状态项进行数值迭代，根据Floquet原理构建出了高精度的颤振稳定域叶瓣图。单自由度特征值收敛特性分析表明，当离散化间隔数大于50时，二阶完全离散化方法(2-FDM)与一阶完全离散化方法(1-FDM)的收敛速度基本相同，U-FDM收敛特性最优；经叶瓣图对比分析可知，改进的完全离散化方法具有较高的拟合精度，计算效率相比半离散方法(SDM)单自由度和两自由度分别提升了70.6%和64.9%。通过试验获取铣削加工响应信号进行时域、频域和同步采样分析，结果表明所提铣削动力学模型和U-FDM算法是有效的，为叶瓣图指导实际加工奠定了基础。     

Design and fabrication of a new micro ball-end mill with conical flank face

Micro ball-end milling is an efficient method for the fabrication of micro lens array molds. However, it is difficult to meet the machining quality of micro dimple molds due to the wear and breakage of the milling cutter, which presents large challenges for designing geometric structure and edge strength of micro ball-end mills. In this study, a new configuration of a micro ball-end mill for micro dimple milling is designed and named the micro conical surface ball-end mill. The cutting edge is formed by intersecting the conical surface and the inclined plane. A practical grinding method is proposed based on the kinematic principle of the six-axis computer numerical control (CNC) grinding machine for micro conical surface ball-end mills and is validated by grinding simulations and experiments. Micro dimple milling experiments are conducted on the hardened die steel H13 to investigate the cutting performance of the mill. The milling force, the micro dimple roundness error, and the tool wear morphology are observed and analyzed. The results show that the radial milling force is more stable and the wear resistance is improved for the micro conical surface ball-end mill compared to the traditional micro spiral blade ball-end mill. Therefore, a more stable roundness at the entrance hole of the micro dimple can be obtained by using this design after a number of micro dimples have been milled.     

Development of chatter detection in milling processes

The aim of this research is to develop an in-process detection of the chatter for the actual milling processes regardless of any cutting condition within the small data processing time by utilizing the dynamic cutting forces obtained during cutting. The proposed method introduces three parameters, which are calculated and obtained by taking the ratio of the average variances of the dynamic cutting forces of three force components, to identify the chatter. The algorithm was developed and implemented on five-axis computer numerical control machining center to detect the chatter in ball-end milling and end milling processes. The chatter and the nonchatter can be simply detected during the in-process cutting by mapping the obtained values of three parameters in the reference feature spaces regarding the determined threshold values. The experimental results showed that the proposed method can be effectively used to detect the chatter during cutting even though the cutting conditions are changed.     

Three-dimensional chatter stability prediction of milling based on the linear and exponential cutting force model

Stability lobes are widely used to avoid chatter which restricts the machining quality and productivity. A lot of work has been done to predict the stability lobes fast and accurately. However, most of them are based on the linear force model, and the chatter stability limit is formulated as independent on the feed rate, which is inconsistent with the machining practice. By referencing with the zero-order solution, this paper investigates the chatter stability prediction based on the exponential force model. Focusing on the cutters with a lead angle (i.e., inserted face mill, the ball-end mill, and bull-nose end mill) where chatter is likely to be brought up in Z direction, the stability model is extended to three-dimensional. Taylor equation is utilized to linearize the exponential expressions when computing the directional coefficients in order to solve the stability limit analytically as the linear force model. Simulation results show that the exponential force model agrees with the measurements as well as the linear force model in the cutting force prediction, and it is able to demonstrate the feed rate effect on the stability limit. The stability limit is found to be increased as the feed rate increases, which is evidenced by the time domain simulation. Cutting tests are performed in the end to verify the stability model. The proposed model could be reduced to either X/Y dimensional or linear force model-based stability model by further simplifications.     

曲面铣削过程加工路径对切削力和磨损的影响研究

针对不同走刀路径下的复杂曲面加工过程进行球头铣刀铣削Cr12MoV加工复杂曲面研究,分析不同走刀路径下铣削力和刀具磨损的变化趋势。试验结果表明:通过对比分析直线铣削和曲面铣削过程中的最大未变形切屑厚度,可以得出单周期内曲面铣削的力大于直线铣削过程的力,铣削相同铣削层时环形走刀测得的切削力普遍大于往复走刀测得的切削力;以最小刀具磨损为优化目标,运用方差分析法分析得出不同走刀路径的影响刀具磨损的主次因素,同时利用残差分析方法建立球头铣刀加工复杂曲面刀具磨损预测模型,并通过试验进行验证。     

Cutting force prediction for ball-end mills with non-horizontal and rotational cutting motions

Accurate cutting force prediction is essential to precision machining operations as cutting force is a process variable that directly relates to machining quality and efficiency. This paper presents an improved mechanistic cutting force model for multi-axis ball-end milling. Multi-axis ball-end milling is mainly used for sculptured surface machining where non-horizontal (upward and downward) and rotational cutting tool motions are common. Unlike the existing research studies, the present work attempts to explicitly consider the effect of the 3D cutting motions of the ball-end mill on the cutting forces. The main feature of the present work is thus the proposed generalized concept of characterizing the undeformed chip thickness for 3D cutter movements. The proposed concept evaluates the undeformed chip thickness of an engaged cutting element in the principal normal direction of its 3D trochoidal trajectory. This concept is unique and it leads to the first cutting force model that specifically applies to non-horizontal and rotational cutting tool motions. The resulting cutting force model has been validated experimentally with extensive verification test cuts consisting of horizontal, non-horizontal, and rotational cutting motions of a ball-end mill.     

Milling force vibration analysis in high-speed-milling titanium alloy using variable pitch angle mill

Chatter may cause fast wear of tools and poor surface quality of the workpieces at high cutting speed and it will happen on different process parameters; how do we select the suitable cutting speed to suppress the chatter? In this paper, a signal analysis method for milling force and acceleration is adopted to identify chatter, which can obtain the results not only in frequency of chatter but also in the contribution for milling force at different frequencies. Through the milling experiment, the machining vibration behaviors of milling Ti–6Al–4V with variable pitch end mill were investigated. Milling force and acceleration signals obtained from experiment were analyzed and compared at stable and unstable milling processes. The experimental results show that when the chatter occurs, milling forces were found to increase dramatically by 61.9–66.8% compared with that of at stable cutting; machining surface quality became poor and machined surface roughness increases by 34.2–40.5% compared with that of at stable cutting.     

Chatter stability of micro end milling by considering process nonlinearities and process damping

The micro end milling uses the miniature tools to fabricate complexity microstructures at high rotational speeds. The regenerative chatter, which causes tool wear and poor machining quality, is one of the challenges needed to be solved in the micro end milling process. In order to predict the chatter stability of micro end milling, this paper proposes a cutting forces model taking into account the process nonlinearities caused by tool run-out, trajectory of tool tip and intermittency of chip formation, and the process damping effect in the ploughing-dominant and shearing-dominant regimes. Since the elasto-plastic deformation of micro end milling leads to large process damping which will affect the process stability, the process damping is also included in the cutting forces model. The micro end milling process is modeled as a two degrees of freedom system with the dynamic parameters of tool-machine system obtained by the receptance coupling method. According to the calculated cutting forces, the time-domain simulation method is extended to predict the chatter stability lobes diagrams. Finally, the micro end milling experiments of cutting forces and machined surface quality have been investigated to validate the accuracy of the proposed model.     

Low-frequency chatter genesis during inclined surface copy-milling with ball-end mill: Experimental study

In this study low-frequency chatter during machining of inclined surfaces with ball-end mills is experimentally investigated. An explanation of genesis of low-frequency vibrations have been proposed for various conditions: cutting direction, lead angle values, spindle speed, depth of cut. As a result, it has been proven that low-frequency chatter has more significant effect on machined surface than usual chatter. Low-frequency chatter occurs during downward milling, rather than upward milling, especially when lead angle increases. Furthermore, low-frequency chatter takes place in the beginning of cutting process, thereafter develops into steady state of usual chatter, which has no such significant effect on machined surface, as it has been shown. The results are in line with the supposition that low frequency vibrations are caused by sudden and irregular nature of shearing process, when magnitude is small.     

Chatter stability prediction in milling using time-varying uncertainties

The chatter stability in milling severely affects productivity and quality of machining. Tool wear causes both the cutting coefficient and the process damping coefficient, but also other parameters to change with cutting time. This variation greatly reduces the accuracy of chatter prediction using conventional methods. To solve this problem, we consider the cutting coefficients of the milling system to be both random and time-varying variables and we use the gamma process to predict cutting coefficients for different cutting times. In this paper, a time-varying reliability analysis is introduced to predict chatter stability and chatter reliability in milling. The relationship between stability and reliability is investigated for given depths and spindle speeds in the milling process. We also study the time-varying chatter stability and time-varying chatter reliability methods theoretically and with experiments. The results of this study show that the proposed method can be used to predict chatter with high accuracy for different cutting times.     

Chatter prediction based on frequency domain solution in CNC pocket milling

Chatter has been a problem in CNC machining process especially during pocket milling process using an end mill with low stiffness. Since an iterative time-domain chatter solution consumes a computing time along tool paths, a fast chatter prediction algorithm for pocket milling process is required by machine shop-floor for detecting chatter prior to real machining process. This paper proposes the systematic solution based on integration of a stability law in frequency domain with geometric information of material removal for a given set of tool paths. The change of immersion angle and spindle speed determines the variation of the stable cutting depth along cornering cut path. This proposed solution transforms the milling stability theory toward the practical methodology for the stability prediction over the NC pocket milling.