基于MATLAB的高速铣削加工再生型颤振的建模与仿真

针对国内高速铣削加工工艺参数选择存在的问题,基于动态铣削力建模和颤振稳定域分析计算,以MATLAB为开发工具,得到了铣削加工再生型颤振仿真算法.通过模态锤击实验获得频响函数,利用Visio Basic软件设计了圆柱立铣刀动力学仿真系统,对整个加工系统的颤振稳定域图形进行仿真,为铣削加工切削参数选择和优化提供了理论依据.实验验证了该仿真算法的有效性和准确性,并在实际应用中取得了良好的效果.     

微铣削再生颤振动力学建模及稳定性分析

再生颤振是制约微铣削加工效率和加工质量的主要因素.以微铣削加工为研究对象,建立了考虑再生效应的微铣削颤振系统动力学模型和颤振稳定域解析模型,通过模态实验获得机床-刀具系统的频响函数,在此基础上综合使用铣削稳定性判据进行数值分析,获得了颤振稳定域解析解.最后进行了颤振稳定性加工实验,实验结果与仿真结果吻合良好,验证了建立的微铣削颤振系统动力学模型和颤振稳定域解析模型的正确性.     

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。     

高速铣削再生颤振稳定性预测与验证

再生型颤振是制约高速铣削加工效率和零件加工质量的主要因素。以高速铣削加工为研究对象,建立了考虑再生效应的高速铣削动态铣削力模型和颤振稳定域解析模型,通过模态实验获得机床-刀具系统的频响函数,在此基础上综合使用铣削稳定性判据进行数值分析,获得了高速铣削颤振稳定域的解析解。最后,进行了零件颤振稳定性铣削加工实验,实验得到的结果与仿真结果吻合良好,由此验证了建立的颤振系统动力学模型和颤振稳定性解析模型的正确性。     

基于数值模型的数控加工中切削力与稳定域仿真

针对数控铣削加工工艺参数选择存在的问题,以球头铣刀高速铣削过程为研究对象,建立了考虑机床-刀具-工件系统振动的非线性动力学模型,分析了铣削力中的动态分量对切削颤振的影响,在考虑再生颤振的基础上建立非线性动力学模型.基于动态铣削力建模和颤振稳定域分析计算,提出了机床切削系统稳定性极限预测方法,并对其进行仿真分析,为铣削加...     

考虑犁切力的微铣削颤振稳定域建模与分析

以微结构铣削加工为研究对象,建立了微观尺度下考虑犁切效应的铣削动态铣削力模型和颤振稳定域解析模型。在微铣削加工实验的基础上,对应于刀齿的每一个瞬时转角,对微铣削颤振稳定域进行了时域求解,进而研究了犁切-剪切机制对微铣削颤振稳定域的影响。实验结果表明犁切效应对微细铣削过程的加工不稳定现象没有显著的影响。     

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。     

圆角铣削颤振稳定域建模与仿真研究

为避免在圆角铣削加工中产生颤振,建立考虑再生作用的圆角铣削动力学模型,推导其平均方向力系数计算公式。鉴于圆角铣削时主轴转速通常远大于圆角处的进给角速度,两者的平均方向力系数近似相等。因此,经典直线铣削颤振稳定域解析模型适用于圆角铣削,前提是需要用最大径向啮合角代替名义径向啮合角进行仿真。根据铣刀与工件的啮合情况,将圆角铣削分为均匀切宽圆角铣削和非均匀圆角切宽铣削两类,并分别推导出其最大径向啮合角计算公式。在动力学建模基础上开发圆角铣削颤振稳定域仿真模块,仿真结果得到了切削试验的验证,为圆角铣削切削参数的选择提供了一条有效途径。     

高精密微铣削再生颤振稳定域影响机制研究

在构建微铣削颤振稳定域解析模型的基础上,采用数值分析和微铣削实验相结合的方法,深入研究模态刚度、模态阻尼、固有频率等工艺系统动力学特性参数、铣削力系数和铣刀齿距等因素对再生颤振稳定域的影响规律,并评价各因素对最小极限切削深度的影响程度。该研究为微三维结构的高速、高精度铣削加工提供了科学的理论依据和技术支撑。     

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。     

多硬度拼接淬硬钢铣削动力学分析

颤振是金属切削加工过程中由于刀具和工件之间相互作用所产生的一种强烈的自激振动现象,会导致切削力幅值增加且发生剧烈波动,进而降低工件表面质量和刀具使用寿命。针对此问题,基于铣削过程稳定性预测分析方法建立多硬度拼接工件的动态铣削系统,对多硬度拼接模具铣削过程稳定性进行深入研究,实现了对拼接模具铣削加工过程颤振稳定域的仿真,进而研究了模态参数对稳定性叶瓣图形状的影响。最后通过时域分析、表面形貌和刀具磨损的研究,综合验证了稳定性预测曲线的精度。研究结果为多硬度拼接模具铣削加工提供理论基础,并设置合理的加工参数来实现金属最大切除率,为大型汽车覆盖件模具铣削加工提供理论依据及技术指导。     

Chatter prediction utilizing stability lobes with process damping in finish milling of titanium alloy thin-walled workpiece

Machining chatter often becomes a big hindrance to high productivity and surface quality in actual milling process, especially for the thin-walled workpiece made of titanium alloy due to poor structural stiffness. Aiming at this issue, the stability lobes are usually employed to predict if chatter may occur in advance. For obtaining the stability lobes in milling to avoid chatter, this article introduces an extended dynamic model of milling system considering regeneration, helix angle, and process damping into the high-order time domain algorithm which can guarantee both high computational efficiency and accuracy. Via stability lobes, the reasonability and accuracy of the proposed method are verified globally utilizing specific examples in literature. More convincingly, the time-domain numerical simulation is also implemented to predict vibration displacement for partial stability verification. In this extended model, process damping is well-known as an effective approach to improve the stability at low spindle speeds, and particularly, titanium alloy as typical difficult-to-machine material is generally machined at low spindle speeds as well due to its poor machinability. Therefore, the proposed method can be employed to obtain the 3D stability lobes in finish milling of the thin-walled workpiece made of titanium alloy, Ti-6Al-4V. Verification experiments are also conducted and the results show a close agreement between the stability lobes and experiments.     

Effects of curvature characteristics of sculptured surface on chatter stability for die milling

In this paper, a predictive model of milling stability, which considers the surface curvature and the lead angle of the milling cutter, is proposed for milling of the panel die with sculptured surface. Firstly, influences of the radius of curvature and lead angle of milling cutter on uncut chip thickness are analyzed by exploring the curvature characteristics of sculptured surface. Subsequently, influence of the curvature characteristics of sculptured surface on chatter stability lobes in milling process is investigated by utilizing the full-discretization method. This analysis implies that the milling stability decreases with the increase in the radius of the die surface’s curvature; the milling stability decreases with the increase in lead angle. The experimental results demonstrate that the prediction of chatter stability lobes could match well with the measured results on the change trend, where the maximum relative percent error is less than 11.1 % in stable milling. It is further validated that this method can effectively predict the chatter stability lobes of the domain in ball end milling of sculptured surface of die.     

高速铣削时颤振的诊断和稳定加工区域的预报

给出一种通过测量加工过程中的噪声来诊断高速铣削时颤振的方法.先测量环境噪声,然后测量加工噪声.理论分析和试验结果表明,如果加工噪声的主谐振频率接近其中一个环境噪声主谐振频率或者是齿频的整数倍,那么系统无颤振,否则有颤振.建立系统结构和铣削过程动力学特征参数的数学模型.根据测出的颤振频率,通过所建模型可解出系统的固有频率、阻尼比和过程参数,并计算出稳定极限曲线.试验证明,该方法能较好地预报高速铣削时的稳定加工区域.     

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.     

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.     

微小型无偏正交车铣加工系统稳定性研究

以微小型车铣复合加工系统为对象,通过对微小型车铣加工工艺系统进行分析将其简化为进行端铣研究。针对加工系统中刚度最低的工件系统利用再生型颤振理论进行分析,得到加工稳定性叶瓣图,并且通过实验验证了该叶瓣图的准确性。得到的微小型车铣稳定性叶瓣图可以指导微小型车铣的加工参数选择,提高微小型车铣加工效率。     

Prediction of dynamic cutting force and regenerative chatter stability in inserted cutters milling

Currently, the modeling of cutting process mainly focuses on two aspects: one is the setup of the universal cutting force model that can be adapted to a broader cutting condition; the other is the setup of the exact cutting force model that can accurately reflect a true cutting process. However, there is little research on the prediction of chatter stablity in milling. Based on the generalized mathematical model of inserted cutters introduced by ENGIN, an improved geometrical, mechanical and dynamic model for the vast variety of inserted cutters widely used in engineering applications is presented, in which the average directional cutting force coefficients are obtained by means of a numerical approach, thus leading to an analytical determination of stability lobes diagram (SLD) on the axial depth of cut. A new kind of SLD on the radial depth of cut is also created to satisfy the special requirement of inserted cutter milling. The corresponding algorithms used for predicting cutting forces, vibrations, dimensional surface finish and stability lobes in inserted cutter milling under different cutting conditions are put forward. Thereafter, a dynamic simulation module of inserted cutter milling is implemented by using hybrid program of Matlab with Visual Basic. Verification tests are conducted on a vertical machine center for Aluminum alloy LC4 by using two different types of inserted cutters, and the effectiveness of the model and the algorithm is verified by the good agreement of simulation result with that of cutting tests under different cutting conditions. The proposed model can predict the cutting process accurately under a variety of cutting conditions, and a high efficient and chatter-free milling operation can be achieved by a cutting condition optimization in industry applications.     

A novel chatter stability criterion for the modelling and simulation of the dynamic milling process in the time domain

The modelling of the dynamic processes in milling and the determination of chatter-free cutting conditions are becoming increasingly important in order to facilitate the effective planning of machining operations. In this study, a new chatter stability criterion is proposed, which can be used for a time domain milling process simulation and a model-based milling process control. A predictive time domain model is presented for the simulation and analysis of the dynamic cutting process and chatter in milling. The instantaneous undeformed chip thickness is modelled to include the dynamic modulations caused by the tool vibrations so that the dynamic regeneration effect is taken into account. The cutting force is determined by using a predictive machining theory. A numerical method is employed to solve the differential equations governing the dynamics of the milling system. The work proposes that the ratio of the predicted maximum dynamic cutting force to the predicted maximum static cutting force can be used as a criterion for the chatter stability. Comparisons between the simulation and experimental results are given to verify the new model.     

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。