Profile error compensation in precision grinding of ellipsoid optical surface

Optical glass elements with the ellipsoidal surface are used in many critical aerospace instruments, such as satellites, telescope and cameras. Their optical performance is mainly affected by profile accuracy and surface quality. In this paper, a rectangular ellipsoid surface is precisely ground on a BK7 optical glass blank by grating scanning grinding path with a three-axis CNC precision surface grinder. A profile error compensation procedure for ellipsoidal grinding is proposed based on the error analysis about the primary error sources in the XY and YZ projection planes during the grinding process. The mathematical prediction models of the wheel arc profile error, the measurement and wear error of the grinding wheel radiuses are established. By applying the proposed error compensation procedure, the profile accuracy of the ellipsoidal surface was improved from 4 μm to 2 μm in the XY plane, and improved from 15 μm to 5 μm in the YZ plane.     

基于数值模拟的内斜齿轮成形磨削 砂轮修形方法

针对内斜齿轮数控成形磨削中较难解决的磨削干涉问题,研究了内斜齿轮成形磨削的砂轮修形方法.在建立内斜齿轮成形磨削数学模型的基础上,用截圆法得到磨削内斜齿轮时砂轮与齿槽接触点所满足的条件方程组,通过牛顿迭代法解此方程组求出砂轮廓形.用数值法模拟出所求砂轮的实际磨削齿形并与理论渐开线齿形作比较,以检验磨削是否干涉及砂轮半径和安装角的选取是否正确.基于 Visual C++ 6.0 编制内斜齿轮砂轮修形及误差分析软件,通过仿真正确选择砂轮安装角、砂轮半径,并输出数控砂轮修整程序.最后通过磨削和检测实例,验证了理论的正确性和软件的可行性.      

Simulation of multi-axis grinding considering runout based on envelope theory

As one of the most important methods for machining process with high accuracy, ultra-precision grinding is widely used in fields such as aerospace, automotive and mold, etc. Simultaneously, it is common that wheel and spindle axis do not coincide with each other due to wheel settings, machining errors and so on. This could result in the generation of wheel runout, which may reduce the machining surface’s quality. In this paper, combining this phenomenon, an analytic algorithm method for the multi-axis grinding process is introduced according to the envelope theory. After that, the accuracy of this method is verified. Two experiments are carried out on a 5-axis machining center. The artificial runout is set up and calculated utilizing the least square method. Finally, using the presented method, two examples with and without runout are introduced to illustrate the validation of the proposed model. The error due to the runout effect is also analyzed.     

航空齿轮磨削加工安装偏心误差补偿研究

磨齿加工时齿坯几何中心与回转工作台轴心存在安装偏心误差,降低了磨齿加工精度。以数控成型砂轮磨齿机工作原理为基础,建立偏心误差磨削加工几何模型;提出安装偏心误差补偿法,建立偏心误差补偿数学模型,通过数学模型求出磨削砂轮在X、Y两个方向的进给补偿增量;以YK73125数控成型砂轮磨齿机为例,进行安装偏心误差补偿实验,齿轮的左右齿面单个齿距极限偏差绝对值分别减小了0.9μm和1.6μm,齿距累积总偏差绝对值分别减小了49.6μm和43.3μm。结果表明:安装偏心误差与单个齿距偏差和齿距累积总偏差成正比;采用安装偏心误差补偿进行磨齿加工,有效地减小了单个齿距偏差和齿距累积总偏差,齿轮的精度有所提高。     

磨削钛合金时砂轮磨损机理的研究

 磨削钛合金时砂轮磨损严重,磨削比很低。为了改善钛合金的磨削加工性,本文着重分析了造成砂轮磨损的主要原因,论述了粘附磨损、扩散磨损以及磨粒破碎、脱落所造成的磨损,并分析了磨削条件对砂轮磨损的影响。     

超精密磨削中的超硬砂轮修整技术

论述了超精密磨削中广泛应用的几种超硬砂轮修整技术,分析了它们的工作原理,特点和适用范围.     

基于碟形砂轮磨齿的面齿轮包络残差研究

介绍了采用碟形砂轮磨削面齿轮的原理及过程,研究了齿廓包络和齿宽包络两种包络方式产生包络残差的机理.分别建立了两种加工方式下包络残差的计算模型和方法,并研究了所产生包络残差的特点.通过数值算例分析了包络过程中刀具周向进给角度、齿宽方向进给量以及碟形砂轮外径对齿面包络残差的影响规律.计算结果表明:齿宽包络比齿廓包络具有更高的效率.进行了以齿廓包络方式的面齿轮磨齿加工实验,当刀具周向进给角度分别取为2°,1°,0.5°及0.2°时,齿面表面粗糙度逐渐明显提高,齿面磨削加工印痕的数目和方向与包络仿真计算结果一致.初步证明根据包络残差计算结果选取合适的进给量参数,可以保证面齿轮磨齿加工的表面粗糙度水平并能提高加工效率.      

硅微晶玻璃超精密磨削技术的研究

介绍了应用铸铁结合剂金刚石微粉砂轮和在线电解修整（ＥｌｅｃｔｒｏｌｙｔｉｃＩｎ－ｐｒｏｃｅｓＤｒｅｓｉｎｇ,简称ＥＬＩＤ）磨削技术对硅微晶玻璃材料零件进行的超精密磨削实验。通过改变磨削参数并用力和声发射信号对磨削过程进行在线检测,对硅微晶玻璃材料的磨削进行了分析研究。实验结果表明用ＥＬＩＤ磨削方法磨削硅微晶玻璃可以达到良好的镜面磨削效果     

Performance evaluation of creep feed grinding of γ-TiAl intermetallics with electroplated diamond wheels

This paper evaluates the performance of creep feed grinding γ-TiAl intermetallic (Ti-45Al-2Mn-2Nb) using electroplated diamond wheels. Firstly, a comparative analysis with the grinding results by using electroplated CBN wheels was conducted, mainly involving abrasive wheel wear behavior and maximum material removal rate below surface burn limit. It was found that the diamond wheel would produce much better grinding results including lower wheel wear rate and higher maximum material removal rate. Then the surface integrity obtained at different level of material removal rate was characterized with the utilization of the diamond wheel. The poor ductility of this γ-TiAl intermetallic material was found to have a marginal effect on the surface integrity, as no severe surface defects such as material pullout were generated during the stable wheel wear stage. For the involved operating parameters, a deformation layer was produced with ∼10 μm or more in thickness depending on the material removal rate used. Meanwhile, a work-hardened layer extending to more than 100 μm was produced with a maximum microhardness of above 520 HV_0.05 (bulk value 360 HV_0.05). The residual stress remained compressive, with a value of above −100 MPa and even up to −500 MPa for an elevated material removal rate. Shearing chip was the main chip type, indicating good wheel sharpness in the grinding process.     

Investigation on induction brazing of profiled cBN wheel for grinding of Ti-6Al-4V

Profiled monolayer cBN wheel was induction brazed for grinding of titanium dovetail slot in this study. Aimed at acquiring a uniform temperature distribution along the profiled surface and reducing the thermal deformation of the brazed wheel, a finite element model was established to investigate the temperature uniformity during induction brazing. A suitable induction coil and the related working parameters were designed and chosen based on the simulation results. Ag-Cu-Ti alloy and cBN grains were applied in the induction brazing experiment. The results showed geometric deformation of the brazed wheel was no more than 0.01 mm and chemical reaction layer were found on the brazed joint interface. Further validation tests were carried out by grinding of Ti-6Al-4V alloy. Compared to the electroplated wheel, the brazed wheel showed better performance such as low specific grinding energy and good ground quality in grinding of Ti-6Al-4V alloy. Abrasion wear was found to be the main failure mode for the induction brazed wheel, while adhesion and grains pull-out were the main failure mode for the electroplated wheel.     

Feasibility study of creep feed grinding of 300M steel with zirconium corundum wheel

The ultrahigh strength 300M steel has been commonly used in the manufacture of aircraft landing gear and rotor shaft parts due to its excellent mechanical properties. Creep feed grinding is one of the essential operations during the whole component manufacturing processes. In this work, the feasibility of creep feed grinding of 300M steel by using the hard zirconium corundum wheel was theoretically and experimentally evaluated. A variety of responses including grinding forces, temperature fields...     

Development of a new high-shear and low-pressure grinding wheel and its grinding characteristics for Inconel718 alloy

Nickel-based alloy has been widely used due to its outstanding mechanical properties. However, Nickel-based alloy is a typical difficult-to-machine material, which is a great constrain for its application in the manufacturing field. To improve the surface quality of the ground workpiece, a new high-shear and low-pressure grinding wheel, with high ratio of tangential grinding force to normal grinding force, was fabricated for the grinding of selective laser melting (SLM) manufactured Inconel718 alloy. The principle of high-shear and low-pressure grinding process was introduced in detail, which was quite different from the conventional grinding process. The fabrication process of the new grinding wheel was illustrated. A serial of experiments with different processing parameters were carried out to investigate the grinding performance of the developed grinding wheel via analyzing surface roughness and surface morphology of the ground workpiece. The optimal processing parameters of high-shear and low-pressure grinding were obtained. The surface roughness of ground workpiece was reduced to 0.232 μm from the initial value of 0.490 μm under the optimal grinding conditions. It was found that the initial scratches on the ground workpiece were almost completely removed after the observations with the metalloscopy and the field-emission scanning electron microscopy (FE-SEM). The capability of the newly developed high-shear and low-pressure grinding wheel was validated.     

球头模具铣刀刀刃和前刀面成形的研究

提出了一种使球头模具铣刀具有良好切削性能,可以大大改善球顶点及其附近处切削条件的刀刃构造形式和前刀面形状;根据包络原理详细分析和研究了成形这种球头铣刀刀刃及前刀面的磨削（或铣削）系统的合理运动方式,并导出了各运动间的函数关系;给出了一计算实例。     

Fretting wear behaviour of machined layer of nickel-based superalloy produced by creep-feed profile grinding

Fretting wear has an adverse impact on the fatigue life of turbine blade roots. The current work is to comparatively investigate the fretting wear behaviour of the nickel-based superalloy surfaces produced by polishing and creep-feed profile grinding, respectively, in terms of surface/subsurface fretting damage, the friction coefficient, wear volume and wear rate. Experimental results show that the granulated tribolayer aggravates the workpiece wear, while the flat compacted tribolayer enhances the wear resistance ability of workpiece, irrespective of whether the workpiece is processed by polishing or grinding. However, the wear behaviors of tribolayers are different. For the polished surface, when the normal load exceeds 100 N, the main defects are crack, rupture, delamination and peeling of workpiece materials; the wear mechanism changes from severe oxidative wear to fatigue wear and abrasive wear when the loads increase from 50 to 180 N. As for the ground surface, the main wear mechanism is abrasive wear. Particularly, the ground surface possesses better wear-resistant ability than the polished surface because the former has the lower values in coefficient friction (0.23), wear volume (0.06 × 10⁶ μm³) and wear rate (0.25 × 10^?16 Pa^?1). Finally, an illustration is given to characterize the evolution of wear debris on such nickel-based superalloy on the ground surface.     

Thermomechanical coupling effect on characteristics of oxide film during ultrasonic vibration-assisted ELID grinding ZTA ceramics

Ultrasonic vibration-assisted ELID (UVA-ELID) grinding is utilized as a novel and highly efficient processing method for hard and brittle materials such as ceramics. In this study, the UVA-ELID grinding ZTA ceramics is employed to investigate the influence of thermomechanical loading on the characteristics of oxide film. Based on the fracture mechanics of material, the model of internal stress for oxide film damage is proposed. The thermomechanical loading is composed of mechanical force and the thermal stress generating from grinding temperature. The theoretical model is established for the mechanical force, thermal stress and internal stress respectively. Then the finite element analysis method is used to simulate the theoretical model. The mechanical force and grinding temperature is measured during the actual grinding test. During the grinding process, the effect of grinding wheel speed and grinding depth on the thermomechanical force and the characteristics of oxide film is analyzed. Compared with the conventional ELID (C-ELID) grinding, the mechanical force decreased by 25.6% and 22.4% with the increase of grinding wheel speed and grinding depth respectively, and the grinding temperature declined by 10.7% and 12.8% during the UVA-ELID grinding. The thermal stress in the latter decreased by 16.3% and 20.8% respectively, and internal stress reduced by 12.3% and 15.6%. It was experimentally found that the topographies of oxide layer on the surface of the wheel and the machined surface in the latter was better than that in the former. The results indicate that the action of ultrasonic vibration establish a significant effect on the processing. Subsequently, it should be well considered for future reference when processing the ZTA ceramics.     

渐开线碟形砂轮磨削面齿轮数控加工研究

为进行面齿轮数控精密加工,提出了一种渐开线碟形砂轮磨削面齿轮加工方法.根据面齿轮成形过程及磨削加工原理,推导了渐开线碟形砂轮磨削面齿轮齿面方程,进行了面齿轮磨削加工机床设计,给出了基于机床结构的面齿轮磨削加工方法,进行了磨削加工过程中的啮合点刀位计算;借助VERICUT软件进行了面齿轮数控磨削加工仿真,最后进行了面齿轮磨削加工试验,通过对面齿轮齿面进行检测,得到齿面偏差最大值为-10.1~12.1μm,结果验证了渐开线碟形砂轮磨削加工面齿轮方法的正确性.      

Review on monolayer CBN superabrasive wheels for grinding metallic materials

A state-of-the-art review on monolayer electroplated and brazed cubic boron nitride (CBN) superabrasive wheels for grinding metallic materials has been provided in this article. The fabrication techniques and mechanisms of the monolayer CBN wheels are discussed. Grain distri-bution, wheel dressing, wear behavior, and wheel performance are analyzed in detail. Sample appli-cations of monolayer CBN wheel for grinding steels, titanium alloys, and nickel-based superalloys are also provided. Finally, this article highlights opportunities for further investigation of mono-layer CBN grinding wheels.     

Modeling and experiment of grinding wheel axial profiles based on gear hobs

Hobbing is one of the crucial gear manufacturing processes with high precision and high efficiency. In order to improve the accuracy of hobbing and hob relief grinding, more precise grinding wheels are demanded for relief grinding in the production of gear hobs. In this paper, a new and accurate mathematical method for calculating the axial profile of grinding wheel based on the corresponding gear hob to be ground is proposed. Considering that most researches have been conducted to focus on the optimization of hob geometric feature and only can be applied to a specific type of hand of helix and rake angle of gear hobs. The method in this paper can be served as a general algorithm for generating axial profile of grinding wheels on the basis of the spatial envelope theory, the principle of coordinate system transformation, and studies on normal profile of single-tooth. The accuracy of grinding hobs is based on applying the approach in practical manufacturing. Taking two typical different kinds of pre-grinding gear hobs as examples for calculation and experiment, the results of tooth profile errors strengthen the position that the validity and feasibility of this method, it can be employed for gear hob design and grinding processing.     

Modelling of grinding mechanics: A review

Grinding is one of the most widely used material removal methods at the end of many process chains. Grinding force is related to almost all grinding parameters, which has a great influence on material removal rate, dimensional and shape accuracy, surface and subsurface integrity, thermodynamics, dynamics, wheel durability, and machining system deformation. Considering that grinding force is related to almost all grinding parameters, grinding force can be used to detect grinding wheel wear, energy calculation, chatter suppression, force control and grinding process simulation. Accurate prediction of grinding forces is important for optimizing grinding parameters and the structure of grinding machines and fixtures. Although there are substantial research papers on grinding mechanics, a comprehensive review on the modeling of grinding mechanics is still absent from the literature. To fill this gap, this work reviews and introduces theoretical methods and applications of mechanics in grinding from the aspects of modeling principles, limitations and possible future trendencies.     

非球面零件超精密加工技术

介绍了非球面零件超精密切削、超精密磨削、超精密抛光（研磨）、等离子体的CVM、复制等技术的超精密加工方法．