薄壁零件铣削加工稳定性极限分析

针对薄壁零件铣削加工颤振稳定性问题进行了分析研究。综合考虑刀具子系统和工件子系统动态特性,采用三自由度弹性-阻尼系统,建立了适合薄壁零件的三维动态铣削力模型,求出了高速铣削稳定性极值解析解。根据模态锤击实验获得的频率响应函数(FRF frequency response function),绘出了铣削加工颤振的稳定性图形,并通过实验证实了稳定性图的有效性和准确性。     

铣削加工过程稳定性分析

考虑刀具和工件的动态特性,建立了二维铣削加工过程的动力学模型,在此基础上,推导了稳定性叶瓣图绘制的公式。通过仿真,分析了模态参数对稳定性叶瓣图形状的影响。结果表明：刚度和阻尼率影响叶瓣图的纵向形状,固有频率影响叶瓣图的横向形状,叶瓣图的主要形状由动刚度最小的模态决定。
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铣削加工系统三维稳定性理论研究与进展

切削颤振是高速加工过程中经常遇到的一种现象,而判断稳定切削常用的一种方法就是绘制稳定性图。主要针对国内外铣削加工颤振三维稳定性图和三维稳定性理论研究状况进行了综述,重点给出了Thevenot、U.Bravo和S.Herranz、Tony L.Schmitz和Altintas的稳定性理论。研究指出,为了保证材料的最大去除率,必须研究切削参数对于稳定性的影响,也就是需要研究主轴转速、轴向切深和径向切深对切削颤振影响的三维稳定性图。     

铣削加工过程智能控制试验

在XK5140型立式数控铣床上建立了加工过程智能控制试验平台,其控制系统基于MATLAB的Simulink模型,通过编写S函数创建控制器模块。以铣削力为控制对象,对不同切深的工件采用不同的初始条件,进行铣削加工过程智能控制试验。使用该试验平台能实现铣削加工过程的智能控制,保持铣削力恒定,可防止刀具损坏,提高切削效率。     

预测铣削稳定性的隐式Adams方法

针对铣削加工过程中产生的振动现象,提出了一种隐式Adams方法（Implicit Adams method,IAM）来预测铣削加工过程的稳定性。考虑再生颤振的铣削加工动力学方程可以表示为时滞线性微分方程,将刀齿周期可分为自由振动阶段和强迫振动阶段,对强迫振动阶段进行离散,运用IAM方法构建状态传递矩阵,利用Floquet理论,判定系统的稳定性,获得系统的稳定性叶瓣图。Matlab软件仿真结果表明,IAM方法是预测铣削稳定性的一种有效方法。随着离散数的增加,IAM方法的收敛速度要快于一阶半离散法（First-order semi-discretization method,1st-SDM）和二阶全离散法（Second-order full-discretization method,2nd-FDM）,离散数较少的IAM方法能达到离散数较多的1st-SDM方法和2nd-FDM方法的局部离散误差。此外,在单自由度和双自由度动力学模型下,三种方法的稳定性叶瓣图显示,IAM方法预测铣削稳定性的预测精度均好于1st-SDM方法和2nd-FDM方法,计算效率远远高于1st-SDM方法,稍高于2nd-FDM方法。切削试验和仿真结果表明,IAM方法的预测精度和可靠度均好于1st-SDM方法和2nd-FDM方法。     

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.     

淬硬钢模具型腔铣削稳定性分析

在淬硬钢模具型腔铣削加工过程中,模具型腔表面曲线曲率不断的变化会引起实际切削参数的变化,偏离程序中设定的名义参数,各刀齿铣削状态不再完全相同。针对淬硬钢模具型腔曲线铣削过程的未变形动态切削厚度,实际径向切深、刀具-工件接触区域等进行修正,并建立铣削动力学模型,运用全离散法进行铣削稳定性分析,得到铣削稳定叶瓣图;并分析模具型腔形状参数和铣削工艺参数对铣削稳定性的影响,为铣削加工时切削参数的选择,改善工件的表面质量提供依据。     

变螺旋铣刀铣削稳定性实验研究

颤振是制约铣削加工效率和零件加工质量的主要因素。变螺旋铣刀铣削作为一种有效的颤振控制策略,在研究铣削过程发生颤振等现象中受到广泛关注。在此基础上,提出了一种预测变螺距铣刀铣削稳定性预测模型。根据获得的稳定性叶瓣图,针对不同轴向铣削深度和主轴转速,选择了39组铣削参数组合,并进行了铣削实验。通过对实验过程中获取的铣削力信号进行FFT变换,考察了实际铣削与理论预测的吻合性。实验结果表明,该理论方法具有较好的变螺旋铣刀铣削稳定性的预测能力。     

基于变齿距铣刀的铣削稳定性试验

为研究铣削过程中的颤振现象,以变齿距铣刀铣削作为颤振的控制策略,进行铣削稳定性的试验。根据获得的稳定性叶瓣图,选择多组铣削参数组合进行铣削试验。通过对试验过程中获取的铣削力信号进行FFT变换,考察实际铣削与理论预测的吻合性。试验结果表明,该方法具有较好的变齿距铣刀铣削稳定性预测能力。     

基于MATLAB的铣削加工颤振稳定域仿真算法及实现

针对国内数控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,实现了铣削加工颤振稳定域仿真算法.通过模态锤击实验获得的频响函数,仿真出了整个加工系统的颤振稳定域图形,为进行铣削加工切削参数选择和优化提供了理论依据.验证实验证实了仿真算法的有效性和准确性,仿真方法在工厂得到了实际应用并取得了良好的应用效果.     

New predictor-corrector methods based on piecewise polynomial interpolation for milling stability prediction

Abstract

Chatter frequently occurs during cutting operations, which seriously restricts the machining productivity and workpiece accuracy. Consequently, accurate and efficient stability prediction is of great significance to determine stable machining parameters. A cubic Hermite–Newton approximation method which can determine the chatter stability boundaries more efficiently is presented in this paper. The milling dynamic system can be expressed as time-periodic delay differential equations (DDEs) with consideration of the regeneration effect. A typical benchmark example is provided to assess the convergence feature and stability lobes of the cubic Hermite–Newton approximation method and several existing methods. The results indicate that the cubic Hermite–Newton approximation method can achieve satisfactory results. For the sake of developing the cubic Hermite–Newton approximation method with higher convergence rate and computational efficiency, the tooth-passing period is further separated into two distinct phases according to whether the value of coefficient matrix equals to zero. Meanwhile, the linear interpolation polynomial is used to predict milling stability, and then piecewise polynomial interpolation was utilized in two adjacent time intervals to correct this prediction. By adopting the two benchmark examples, the effectiveness of the two new methods can be analyzed using existing methods. The results demonstrate that the two new methods have superior accuracy and efficiency.     

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.     

基于切削稳定性与表面质量约束的铣削工艺参数优化研究

铣削工艺系统的动态特性随着刀具夹持长度改变而变化,影响关联的铣削稳定性与加工表面质量,进而导致铣削加工的工艺规划具有不确定性.针对此问题,本文综合刀具悬伸量与传统铣削用量作为输入,分别建立极限切削深度与表面粗糙度的反向传播神经网络模型(BPNN),并进一步以其表达铣削稳定性与加工质量约束,构建以刀具悬伸量和粗/精加工阶...     

高效干式切法盘形齿轮铣刀铣削力的研究

利用干式盘形成形齿轮铣刀在铣齿机上加工齿轮是提高齿轮加工效率有效途径。铣削力是其中的关键因素。研究了齿轮铣削中的顺铣和逆铣两种工艺方法,推导了铣削力计算公式。实验验证,计算的铣削力与实际铣削力基本吻合,该铣削力计算公式可以为铣削工艺选择提供参考。     

Study on the construction mechanism of stability lobes in milling process with multiple modes

The International Journal of Advanced Manufacturing Technology - The stability of milling process dominated by multiple modes was traditionally predicted in the time domain by only selecting the...     

Chatter stability analysis for end milling via convolution modelling

This research discusses the methodology of developing a symbolic closed form solution that describes the dynamic stability of multiflute end milling. A solution of this nature facilitates machine tool design, machining parameter planning, process monitoring, diagnostics, and control. This study establishes a compliance feedback model that describes the dynamic behavior of regenerative chatter for multiflute tool-work interaction. The model formulates the machining dynamics based upon the interconnecting relationship of the tool geometry and the machining system compliance. The tool geometry characterises the cutting forces as a function of the process parameters and the material properties, while two independent vibratory modules, the milling tool and the workpiece, represent the machining system compliance. The compliance feedback model allows the development of a corresponding characteristic equation. By investigating the roots of the characteristic equation, this research symbolically expresses the stability of the system as a function of the cutting parameters, the tool geometry, the workpiece geometry, and the vibrational characteristics of the machine tool. Machining experimentation examining the fidelity of the regenerative chatter model is discussed. The dynamic cutting forces, cutting vibration, and surface finish of the machining process confirm the validity of the analytical prediction.Nomenclature b damping coefficient: mass-spring-damper representation - b _e equivalent damping coefficient: mass-spring-damper representation - C compliance element - CWD chip with density function - D diameter of cutter - d _a axial depth of cut - d _r radial depth of cut - average total cutting force - K _r radial specific cutting pressure constant - K _t tangential specific cutting pressure constant - k spring constant - k _e equivalent spring constant - m mass: mass-spring-damper representation - m _e equivalent mass: mass-spring-damper representation - n number of flutes on the cutter - p _x,y elemental cutting forces - P _1,2 elemental cutting force functions - R cutter radius - s Laplace variable - TS tooth sequencing function - chip thickness - t _c average chip thickness - t _x feed per tooth - helix angle - _x actual displacement of cutter tip - unit impulse function - _d damped circular frequency of vibration - damping ratio - spindle speed     

轮槽加工中铣削力与铣削温度分布规律研究

轮槽铣刀的改进往往是推动轮槽加工技术进步的最直接动力,而轮槽铣刀不同点的切削用量不同,很难测量出刀具不同点的力和温度。基于微元思想并利用标准盘铣刀和等效方法进行了铣削试验,得到了轮槽铣刀相应型线上铣削力与铣削温度的分布曲线并关注了危险点。