A theoretical and experimental investigation of the tool-tip vibration and its influence upon surface generation in single-point diamond turning

This paper presents a theoretical and experimental investigation of the influence of tool-tip vibration on surface generation in single point diamond turning (SPDT). Although it is well known that the relative vibration between the tool and the workpiece plays an important role in the surface generation in single-point diamond turning, most of the prior work has been focused on studying the relative tool-work vibration in the infeed (thrust force) direction while the significant contribution of the effect of the tool-tip vibration in the cutting force direction has been overlooked. In the present study, two characteristic peaks (twin peaks) are identified and found to be corresponding to the tool-tip vibrations by power spectrum density (PSD) analyses. The vibrations possess the features of small amplitude but high frequency. A physical model is proposed to capture the dominant factor based on the characteristic and it reveals that the twin peaks are attributed by the impact between the tool tip and workpiece and the process damping effect. Hence, a geometric model of surface roughness is proposed to take account of tool-tip vibration and it is verified through a series of experiments. The simulation results have been found to agree well with the experimental results.     

Characterisation of nanosurface generation in single-point diamond turning

This paper describes a parametric analysis of nanosurface generation in single-point diamond turning (SPDT). The properties of the surface roughness profiles were extracted and analysed using the power spectrum analysis method. A series of face cutting experiments was undertaken on an aluminium alloy under various cutting conditions. The results indicate that the power spectrum of a surface roughness profile is basically composed of several periodical components that can be correlated to different process parameters and mechanisms of surface generation. Moreover, it is found that the tool feed, tool geometry, spindle error motions and relative vibration between the tool and the workpiece are not the only dominant components contributing to the surface generation in SPDT. Materials swelling and tool interference are other important factors. Based on these findings, relationships are proposed to explain the influence of tool interference on the variation of the spectral components and process parameters. The implications of these findings on the optimisation of the surface quality in SPDT are also discussed.     

Dynamic modelling of shear band formation and tool-tip vibration in ultra-precision diamond turning

This paper proposes a dynamic model to correlate the two basic physical phenomena in ultra-precision diamond turning, i.e. the formation of adiabatic shear band (ASB) and high frequency tool-tip vibration (HFTTV). The conventional approach explains the former using a static model without consideration of the latter. In this paper, a dynamic model is developed to reflect how the ASB and the HFTTV interactively affect each other. To illustrate the validity of this model, a novel experimental method is proposed and the effect of HFTTV on cutting force, surface roughness and chip morphology of ASBs is discussed in terms of the variation of strain rates.     

A theoretical and experimental investigation of surface roughness formation in ultra-precision diamond turning

In this paper, a model-based simulation system is presented for the analysis of surface roughness generation in ultra-precision diamond turning. The system is based on a surface roughness model which takes into account the effect of tool geometry, process parameters and relative tool-work vibration. It is evaluated through a series of cutting experiments. The results indicate that the system can predict well the surface roughness profile and the roughness parameters of a diamond turned surface under various cutting conditions. With the use of the spectrum analysis techniques, the system can also help to analyze the effect of vibration on the surface quality of workpiece and to diagnose the machine faults. The potential application of the system in process optimization is also discussed in the text.     

A theoretical and experimental investigation into five-DOF dynamic characteristics of an aerostatic bearing spindle in ultra-precision diamond turning

In ultra-precision diamond turning (UPDT), spindle vibration has great influence on machining precision of high precision optical components. However, the spindle-vibration mechanism has not been fully understood. In this study, mathematical solutions for a proposed five-degree-of-freedom (FDOF) dynamic model of an aerostatic bearing spindle are derived to explore natural mechanisms of spindle vibration. Thus, the potential benefits of the solutions are to be applied for the prediction and optimization of the effects of spindle vibration on surface generation. Its dynamic characteristics possess three translational frequencies along the radial and axial directions, a spindle rotational frequency (SRF), and a pair of coupled tilting frequencies (CTFs) around the radial directions influenced the SRF. The theoretical results are identified by the frequency characteristics of thrust cutting forces, and the periodic, concentric, spiral, radial and two-fold patterns (PCSRPs) of the machined and simulated surface topographies, respectively.     

A theoretical and experimental investigation into multimode tool vibration with surface generation in ultra-precision diamond turning

In ultra-precision diamond turning (UPDT), tool's high frequency vibration is natural mechanism influencing nanometric surface roughness of machined components. Its first mode high frequency vibration has been overemphasized. However, its multimode high frequency vibration (MHFTV) has not been reported. In the paper, the MHFTV and its effects on surface generation in UPDT are firstly studied. The experimental and theoretical results verify that (i) diamond tool naturally possesses multimode high frequencies, i.e. one sub-high frequency (SHF) for the tool shank tip, one high frequency (HF) for the tool tip, and one ultrahigh frequency (UHF) for the diamond tip; (ii) dampers cause the variation of tool's multimode high frequencies, under which the MHFTV together produces non-uniform zebra-stripe-like patterns at a machined surface; and (iii) cutting force has a linear relationship with and tool's stiffness has a reverse proportion to the amplitude of the MHFTV to influence surface generation, which can be used to improve surface quality.     

A theoretical and experimental study of surface generation under spindle vibration in ultra-precision raster milling

In ultra-precision raster milling (UPRM), the impulse spindle vibration induced by the impulse-like cutting forces is intrinsic and special mechanism majorly influencing surface topography. It is fundamentally distinctive with the step spindle vibration induced by the step-like cutting forces in turning. However, no work has been conducted to study surface generation under the impulse spindle vibration in UPRM in depth. Consequently, this paper theoretically and experimentally elaborates that in UPRM, (i) the impulse spindle vibration includes the axial, radial and coupled-tilting spindle vibration with damping; (ii) the excitation frequency of the impulse-like cutting forces, i.e. spindle speed, determines the spindle vibration characteristics, i.e. synchronous or asynchronous spindle vibration; (iii) the coupled-tilting spindle vibration is a predominant factor influencing surface generation; and (iv) the irregular spindle-vibration waves induced by the impulse spindle vibration produce one of the irregular, lattice-like and stripe patterns or their hybrids at a milled surface.     

端面超精密车削中的面型误差辨识技术研究

为分析超精密车削过程中典型干扰因素对面型精度的影响机制以及这些干扰因素所造成面型误差的特性，基于国产超精密机床Nanosys600对Al6061进行单点金刚石车削实验。通过切削-面型轮廓测量-面型轮廓滤波-分析的迭代过程，辨识和排查了加工过程中的误差来源。在进行环境温度调控和更换导轨工作区域后，滤波后的面型轮廓波峰波谷差值由1 510 nm降低到203 nm。     

基于振动传感器的车削加工表面粗糙度预测

文章通过深入研究车床精车外圆时刀具和工件存在相对振动的情况下,加工工件表面轮廓的形成机理,探索出一种建立表面粗糙度值预测模型的新方法。并结合传感器技术,搭建一个能用于测量振动信号的实验平台,通过比较表面粗糙度的预测值和实测值,证明预测模型有一定的准确度。     

Theoretical and experimental analysis of nano-surface generation in ultra-precision raster milling

The fabrication of high-quality freeform surfaces is based on ultra-precision raster milling, which allows direct machining of the freeform surfaces with sub-micrometric form accuracy and nanometric surface finish. Ultra-precision raster milling is an emerging manufacturing technology for the fabrication of high-precision and high-quality components with a surface roughness of less than 10 nm and a form error of less than 0.2 μm without the need for any additional post-processing. Moreover, the quality of a raster milled surface is based on a proper selection of cutting conditions and cutting strategies.Due to different cutting mechanics, the process factors affecting the surface quality are more complicated, as compared with ultra-precision diamond turning and conventional milling, such as swing distance and step distance. This paper presents a theoretical and experimental analysis of nano-surface generation in ultra-precision raster milling. Theoretical models for the prediction of surface roughness are built. An optimization system is established based on the theoretical models for the optimization of cutting conditions and cutting strategy in ultra-precision raster milling. A series of experiments have conducted and the results show that the theoretical models predict well the trend of the variation of surface roughness under different cutting conditions and cutting strategies.     

A study on the effects of vibrations on the surface finish using a surface topography simulation model for turning

In this paper, a surface topography simulation model is established to simulate the surface finish profile generated after a turning operation. The surface topography simulation model incorporates the effects of the relative motion between the cutting tool and the workpiece with the effects of tool geometry to simulate the resultant surface geometry. It is experimentally shown that the surface topography simulation model can properly simulate the surface profile generated by turning operations. The surface topography simulation model is used to study the effects of vibrations on the surface finish profile. It is found that the vibration frequency ratio is a more important vibration parameter than the vibration frequency on the characterization of the surface finish profile. The vibration frequency ratio is the ratio between the vibration frequency and the spindle rotational speed.     

Surface characterization in ultra-precision machining of Al/SiC metal matrix composites using data dependent systems analysis

This paper presents a data dependent systems (DDSs) method for the analysis of surface generation in ultra-precision machining of Al/SiC metal matrix composites (MMCs). The DDS analysis provides a component by component wavelength decomposition of the surface roughness profile of the machined surface. A series of face cutting experiments was done on Al6061/15SiC_p MMCs under different cutting conditions. The cutting results indicate that the characteristics of the wavelength components analyzed by the DDS analysis method are correlated well with the surface generation mechanisms. Since the relative powers of the wavelength components are used to measure the contributions of the cutting mechanisms to the total roughness, this resolves the shortcomings of the conventional spectrum analysis method in characterizing the surface properties such as pits and cracks in ultra-precision machining of MMCs.     

TB9钛合金车削系统振动特性与表面粗糙度关系的试验研究

目的 通过车削加工TB9钛合金试验,定量研究不同位置的振动特性对表面粗糙度的影响规律,并建立基于振动参数的表面粗糙度预测模型。方法 选用涂层硬质合金刀具对TB9钛合金线材进行车削加工。通过8704B25和3333A2加速度传感器对试验过程中不同位置的切削振动进行检测。运用Matlab对振动加速度信号进行处理和分析。采用TR2000高精度表面粗糙度仪测量工件表面粗糙度。结果 车削系统不同位置的振动特性均与表面粗糙度存在线性关系。车削系统中刀具振动加速度均方根值、主轴振动加速度均方根值以及后导向振动加速度均方根值与表面粗糙度的Pearson相关系数分别为0.379 93、0.331 90、0.181 95。表面粗糙度预测模型的预测平均百分比误差小于3%。结论 车削加工时刀具、主轴以及后导向的车削振动均对表面粗糙度有一定影响。车削系统不同位置的振动特性对表面粗糙度的影响次序为刀具>主轴>后导向,可见距离切削位置越近的振动对车削加工表面粗糙度的影响越大。基于振动参数的表面粗糙度预测模型的准确度较高,可作为表面粗糙度的预测模型。     

A study on optimum grinding factors for aspheric convex surface micro-lens using design of experiments

As the consumer market in the optics, electronics and aerospace industries grows, the demand for ultra-precision aspheric surface micro-lens increases. To enhance the precision and productivity of ultra-precision aspheric surface micro-lens, we present an ultra-precision grinding system and process for the aspheric surface micro-lens. In this paper, an ultra-precision grinding system for manufacturing the aspheric surface micro-lens was developed by considering the factors affecting the grinding surface roughness and profile accuracy. This paper deals with the mirror grinding of an aspheric surface micro-lens by resin-bonded diamond wheel and with the spherical lens of BK7. The optimization of grinding conditions with respect to ground surface roughness and profile accuracy is investigated by design of experiments.     

超精密车削工艺参数与表面质量关联性研究

为提高铝反射镜超精密加工的表面质量,介绍超精密切削的表面质量评价方法和影响表面质量的因素,分析各因素对表面质量的影响机制。采用单一变量法对Al6061进行不同工艺参数的单点金刚石车削实验,通过对比表面粗糙度和功率谱密度,研究各个工艺参数对表面质量的影响,并得出最佳工艺参数;最终加工出表面粗糙度为4.67 nm的光学表面。     

A Model for Surface Roughness in Ultraprecision Hard Turning

Numerical modelling procedures to predict surface roughness in turning processes have been in use for more than forty years. However, the procedures available to date do not correlate well with hard turning. A novel numerical model is presented which incorporates process disturbances such as tool cutting edge defects and machine vibration in hard turning and thus their effect on the achievable surface roughness. It includes a material partition equation to address the behaviour of chip removal and deformations during the cutting process; it also allows additional information to be derived about the mechanism of generation involved at a given point on the surface. Experimental results show good correlation of calculated with measured roughness parameters even at low feed rates.     

超声振动车削光整技术研究

探讨了超声车削光整加工中各工艺参数对工件表面粗糙度的影响,利用田口试验方法分析了各水平因素与试验指标之间的关系并研究了最佳的加工工艺参数组合。实验结果表明,附加超声振动进行车削加工的光整效果明显优于不加超声振动进行光整加工的效果。未附加超声振动时,对表面粗糙度影响最大的因素是转速,影响最小的是进给量。附加超声振动时,对工件表面粗糙度影响最大的因素是转速,影响最小的是压深。     

Investigation of Cutting Characteristics in Side-milling a Multi-thread Worm Shaft on Automatic Lathe

This paper investigates the cutting characteristics of side-milling which is proposed as a more efficient way to manufacture worms of higher accuracy than form-threading and planetary milling. A tool-tip trajectory based on the tool-workpiece interaction is modelled in terms of matrix transformation. Chip thickness, cutting force and surface roughness are simulated using the calculated tool-tip trajectories. The effects of various errors in the real cutting such as run-out errors of a tool axis, tool setup errors and workpiece deflection due to cutting forces are investigated. The simulation results are verified through numerous experiments on an automatic lathe.     

A study of materials swelling and recovery in single-point diamond turning of ductile materials

This paper presents an investigation of the effect of materials swelling in ultra-precision machining of ductile materials. The combined influence of materials swelling and recovery was found to affect the surface roughness in single-point diamond turning. It is interesting to note that the effect of materials swelling for ductile materials would be overwhelmed by the impact of recovery when the depth of cut is extremely small and the front clearance is small. In addition, radically different surface roughness profiles were found for different materials even though they are machined under the same cutting conditions. The difference in the machining behaviour could not be accounted by the elastic recovery alone but by the plastic deformation induced in the machined layer. The findings in the present study provide an important means for improving the surface roughness in ultra-precision machining.     

Dynamic rotating-tool turning of micro lens arrays

Diamond micro milling of high-quality micro lens arrays suffers from low machining efficiency, due to the inevitable milling marks along tangential feed direction and the slow spiral tool path interpolated by multiple linear axes. In this article, an advanced cutting process is proposed, namely dynamic rotating-tool (DRT) turning, in which a U-axis attachment on a rotary stage is developed to enable synchronous cutter rotation and radial feed motions of a diamond turning tool. This method is experimentally verified and compared with milling, with significantly enhanced surface quality and machining efficiency, thus bringing a new perspective into ultra-precision machining.