Three Dimensional Finite Element Simulation of Transient Heat Transfer in High Efficiency Deep Grinding

3D Finite Element simulations have been carried out to investigate transient heat transfer under high efficiency deep grinding (HEDG) conditions. The results have been compared to those obtained from 2D analytical models and experimental measurements. It has been found that the steady-state heat transfer condition can be readily obtained in HEDG after the maximum contact length is achieved and that side wall convective cooling has little effect on the grinding temperatures for thin steel plates. The temperature distribution on the workpiece across the grinding width in cylindrical grinding shows obvious slopes and film boiling of grinding fluid may occur at the trailing edge of grinding width. Good agreement has been found between the FE results and experimental observations. 3D FE simulation and 2D analytical modelling predict quite similar values for the maximum temperatures on the finished surface of the workpiece.     

高效深磨中温度的理论分析

本文提出了高效深磨的热模型。该热模型中，工件与砂轮的接触用圆弧面表述。发现接触角和Peclet数对磨削区温度有很强的影响。发现材料去除率高而且无磨削烧伤。新热模型对接触区温度很准确的预测。还发现高效深磨中比磨削能很低。而磨屑带走了大部分热。同时，在磨削液被阻碍进入磨削区后，工件的温度急剧上升。     

Investigation of the heat partitioning in high efficiency deep grinding

The grinding heat partitioning in the high efficiency deep grinding (HEDG) process has been investigated. The ratios of heat partition to the different heat sinks, i.e. workpiece, chips, fluid and grits, have been calculated, based on both theoretical analysis and experimental data. The heat partitioning ratio to the grinding chips increases with the material removal rate and takes most of the grinding heat away from the grinding zone under HEDG conditions where very high material removal rates apply. The heat partition to workpiece decreases when increasing the material removal rate. Cooling fluid is especially important for the conditions of creep feed grinding when using low feed rates, with over 90% of heat convected away by the grinding fluid. Under HEDG conditions, only 5–10% of the grinding heat is taken away by the grinding fluid. Very high material removal rates can be achieved with good surface integrity, when using an optimised selection of process parameters.     

High Efficiency Deep Grinding of a Low Alloy Steel with Plated CBN Wheels

High efficiency deep grinding (HEDG) of a low alloy steel (51CrV4) has been carried out on an Edgetek 5-axis CNC grinding machine, using electroplated CBN wheels. The initial tests were conducted in a surface grinding mode over a wide range of grinding conditions, to evaluate the levels of specific grinding energy, workpiece surface integrity and wheel wear. The burn threshold conditions for the ground workpiece surface have been proposed in terms of a critical heat flux which is shown to vary with material removal rate. Cylindrical grinding in HEDG mode has also been carried out based on the knowledge obtained from the surface grinding. It has shown that the HEDG technology can be transferred successfully to the field of cylindrical grinding to achieve very high specific material removal rates in excess of 400mm³/mm.s. The successful application of HEDG to cylindrical components depends on the appropriate selection of grinding parameters and also the grinding fluid supply strategy. Thermal modelling of the HEDG process combined with surface integrity studies, has shown that under cylindrical grinding conditions a significant reduction in grinding fluid supply is possible even when operating within the HEDG regime.     

Thermal analysis of high efficiency deep grinding

Regimes of deep grinding range from creep grinding conducted at low workspeeds to High Efficiency Deep Grinding (HEDG) at fast workspeeds. At intermediate depths of cut, grinding is likely to be impossible due to high temperatures and damage to the workpiece and wheel. Analytical techniques for the determination of temperatures in deep grinding processes are discussed. An explanation is proposed for why it is possible to work efficiently at these two extremes of removal rate without experiencing the severe problems experienced in the intermediate range. Methods are required for determining the transition conditions so that process engineers can select process conditions for efficient material removal and high quality of manufactured products using high efficiency deep grinding. This paper provides a method for order of magnitude estimation of temperatures. It is proposed that the angle of inclination of the contact plane is an important parameter for the achievement of high workspeeds. It is argued that workpiece melting provides an ultimate boundary for energy dissipation within the workpiece.     

Burn threshold prediction for High Efficiency Deep Grinding

Burn threshold diagrams are useful for the prediction of thermally induced grinding damage and were originally developed to describe the conventional shallow cut grinding regime. With the development of new high stock removal grinding processes such as High Efficiency Deep Grinding (HEDG), the prevention of thermal damage to the workpiece is of particular concern. The principle of HEDG is based around the change in thermal characteristics of the grinding process at high Peclet numbers, whereby less heat is partitioned to the workpiece. Conventional burn threshold diagrams are valid for Peclet numbers below 50, well below the values expected in HEDG. This study presents a modified approach to the construction of burn threshold diagrams which takes account of the change in thermal partitioning with Peclet number. The approach has been validated through grinding trials over a range of specific material removal rates.     

Thermal Analysis of Grinding

Thermal damage is one of the main limitations of the grinding process, so it is important to understand the factors which affect grinding temperatures. This paper presents an overview of analytical methods to calculate grinding temperatures and their effect on thermal damage. The general analytical approach consists of modeling the grinding zone as a heat source which moves along the workpiece surface. A critical factor for calculating grinding temperatures is the energy partition, which is the fraction of the grinding energy transported as heat to the workpiece at the grinding zone. For shallow cut grinding with conventional abrasive wheels, the energy partition is typically 60%-85%. However for creep-feed grinding with slow workspeeds and large depths of cut, the energy partition is only about 5%. Such low energy partitions are attributed to cooling by the fluid at the grinding zone. Heat conduction to the grains can also reduce the energy partition especially with CBN abrasives which have high thermal conductivity. For High Efficiency Deep Grinding (HEDG) using CBN wheels with large depths of cut and fast workspeeds, preheated material ahead of the grinding zone is removed together with the chips, thereby lowering the temperature on the finished surface. Analytical models have been developed which take all of these effects into account. Much more research is needed to better understand and quantify how grinding temperatures affect the surface integrity of the finished workpiece.     

大切深磨削温度场的理论解析

本文推导了基于半无限体表现移动倾斜面热源模型的大切深磨削非稳态温度场，通过计算，结果表明：缓进给磨削温度达到似稳态温度所需时间比高效大切深磨削温度达到似稳态温度所需时间长得多，切深对工件已加工表面磨削温度和磨削弧区内工件表面磨削温度分布有重要的影响。     

A study of the convection heat transfer coefficients of grinding fluids

By using hydrodynamic and thermal modelling, the variation of the convection heat transfer coefficient (CHTC) of the process fluids within the grinding zone has been investigated. Experimental measurements of CHTC for different grinding fluids have been undertaken and show that the CHTC depends on the grinding wheel speed and the fluid film thickness within the contact zone. The film thickness is determined by grinding wheel speed, porosity, grain size, fluid type, flow rate and nozzle size. The CHTC values are compared for a wide range of grinding regimes, including high efficiency deep grinding (HEDG), creep feed and finish grinding.     

高效深磨的三种解析热模型

表达了三种高效深磨的热模型，分别是圆弧热源模型、均匀热源模型和三角形热源模型。用实验方法和理论计算方法研究了在高效深磨条件下磨削区的最高磨削温度。为了用高效深磨方式研究低合金钢的磨削性能，进行了平面磨削实验，测得了高效深磨条件下磨削区的最高磨削温度，并与用本模型计算结果进行了比较，发现实验结果与采用本模型理论计算结果基本一致，证明了该磨削热模型是正确的。     

Heat flux distributions and convective heat transfer in deep grinding

By using experimental data including the monitored temperature and power signals, combined with detailed theoretical analysis, the relationship between the undeformed grinding chip thickness and specific grinding energy has been studied and used to derive the heat flux distribution along the wheel-work contact zone. The relationship between the grinding chip thickness and specific grinding energy (SGE) has been shown to follow an exponential trend over a wide range of material removal rates. The distribution of the total grinding heat flux, q_t, along the grinding zone does not follow a simple linear form. It increases at the trailing edge with sharp gradients and then varies nearly linearly for the remainder of the contact length. The heat flux entering into the workpiece, q_w, is estimated by matching the measured and theoretical grinding temperatures, and it has been found that the square law heat flux distribution seems to give the best match, although the triangular heat flux is good enough for most cases to generate accurate temperature predictions. With the known heat flux distributions of q_t and q_w, the heat flux to the grinding fluid can then be estimated once the heat partitioning to the grinding wheel is determined by the Hahn model for a grain sliding on a workpiece. The convective heat transfer coefficient of the grinding fluid has been shown to vary along the grinding zone. An understanding of this variation is important in order to optimise the grinding fluid supply strategy, especially under deep grinding conditions when contact lengths are large. It has been demonstrated that the down grinding mode can provide a beneficial fluid supply condition, in which the fluid enters the grinding zone at the position of highest material removal where a high convective cooling function is needed.     

Modelling of specific energy requirement during high-efficiency deep grinding

Grinding is a multi-point cutting operation. The specific energy or the energy expended for unit material removal in grinding is very high, typically one or two orders higher than the machining specific energy. Such high specific energy required in grinding can be attributed to the irregular and random geometry of the abrasive grits, which induce a lot of rubbing and ploughing actions along with the chip formation by shearing process. Also the effective angle in grinding is highly negative which is again responsible for such high-specific energy requirement in grinding. In grinding, a number of notable phenomena occur during the chip formation process, which actually consumes a significant percentage of energy. Such main energy consumers in grinding are:

• Chip formation due to shearing

• Primary rubbing

• Secondary rubbing

• Ploughing

• Wear flat rubbing

• Friction between the loaded chip and workpiece

• Friction between bond and workpiece, etc.

The present paper tries to analytically predict the specific energy consumed during high-efficiency deep grinding (HEDG) of bearing steel by monolayer cBN wheel. During the HEDG process, energy is spent mostly for shearing, rubbing and ploughing processes. The other energy consumers have insignificant role in such high-speed grinding process. So, models which take into account the processes of shearing, primary rubbing, secondary rubbing and ploughing process can reasonably be used to predict the energy requirement in such HEDG process. The total specific energy value obtained from the model has been validated with those experimentally observed values. A good trend matching of the modelled and experimental values have been observed and the root mean square error values have been found to vary between 7% and 11%.     

On the mechanics of the grinding process, Part III—thermal analysis of the abrasive cut-off operation

This is Part III of a 3 part series on the Mechanics of the Grinding Process. Part I deals with the stochastic nature of the grinding process, Part II deals with the thermal analysis of the fine grinding process and this paper (Part III) deals with the thermal analysis of the cut-off operation. Heat generated in the abrasive cut-off operation can affect the life of resin bonded grinding wheels and cause thermal damage to the workpiece. Thermal analysis of the abrasive cut-off operation can, therefore, provide guidelines for proper selection of the grinding conditions and optimization of the process parameters for improved wheel life and minimal thermal damage to the workpiece. In this investigation, a new thermal model of the abrasive cut-off operation is presented based on statistical distribution of the abrasive grains on the surface of the wheel. Both cutting and ploughing/rubbing that take place between the abrasive grains and the work material are considered, depending on the depth of indentation of the abrasives into the work material. In contrast to the previous models, where the apparent contact area between the wheel and the workpiece was taken as the heat source, this model considers the real area of contact, namely, the cumulative area of actual contacting grains present at the interface as the heat source. It may be noted that this is only a small fraction of the total contact area as only a small percentage of the abrasive grains present on the surface of the cut-off wheel are in actual contact with the workpiece at any given time and even a smaller fraction of them are actual cutting grains taking part in the cut-off operation. Since, the Peclet number, N_Pe in the case of cut-off grinding is rather high (a few hundred), the heat flow between the work and the contacting abrasive grains can be considered to be nearly one-dimensional. In this paper, we consider the interaction between an abrasive grain and the workpiece at the contact interface. Consequently, the heat source relative to the grain is stationary and relative to the workpiece is fast moving. The interface heat source on the grain side as well as on the workpiece side is equivalent to an infinitely large plane heat source with the same heat liberation intensity as the circular disc heat source. However, it will be shown in the paper that the contacting times are different. For example, the abrasive grain contacts the heat source, as it moves over the wheel-work interface, for a longer period of time ( milliseconds) whereas the workpiece contacts the heat source for shorter period of time ( a few microseconds). The temperature in the grinding zone is taken as the sum of the background temperature due to the distributed action of the previous active grains operating in the grinding zone (global thermal analysis) and the localized temperature spikes experienced at the current abrasive grain tip-workpiece interfaces (local thermal analysis), similar to the work reported in the literature [Proc Roy Soc (London) A 453 (1997) 1083]. The equivalent thermal model developed in the present investigation is simple and represents the process more realistically, especially the heat partition. The model developed provides a better appreciation of the cut-off operation; a realistic estimation of the heat partition between the wheel, the workpiece, and the chip; thermal gradients in the workpiece due to abrasive cut-off operation, and an insight into the wear of the cut-off wheels.     

THERMAL STUDY ON THE GRINDING OF GRANITE WITH SUPERABRASIVE TOOLS

Diamondabrasivetoolsareextensivelyusedintheprocessingofstone ,frominitialsawingtofinalfinishing .Infact,abrasiveprocessingofgraniteandmarbleforconstructionisthemostimportantfactorintheconsumptionofindustrialdiamond .Duringgrinding ,diamondabrasivegritsonthewheelsurfaceinteractwiththeworkpieceanddothecutting .Theenergyexpendedbythegrindingprocesscanleadtoelevatedtemperaturesatthegrindingzone ,whichmaycausethermaldamagetotheworkpieceandpromotewheelwear.Accordinglyextensivepastresearchhasbeenconc…     

On the mechanics of the grinding process, Part II—thermal analysis of fine grinding

Thermal analysis of fine grinding is conducted taking into consideration the stochastic nature of the distribution of abrasive grains and its role under fine grinding (dry) conditions to determine the grinding temperatures and the heat partition at the contacting interface. The analysis considers the grain–workpiece interactions at the local level and the wheel–workpiece interactions at the global level. The workpiece temperature in the grinding zone is taken as the sum of the background temperature due to distributed action of all the previous active grains operating in the grinding zone (global thermal analysis) and the localized temperature spikes experienced at the current abrasive grain tip–workpiece interfaces (local thermal analysis), similar to the work reported in the literature. Since the Peclet number, N_Pe, in the case of fine grinding is very high (a few hundred), the heat flow between the work and the contacting abrasive grains can be considered to be nearly one-dimensional. In this paper, we consider the interaction between an abrasive grain and the workpiece at the contact interface. Consequently, the heat source relative to the grain is stationary and relative to the workpiece is fast moving. The interface heat source on the grain side as well as on the workpiece side is equivalent to an infinitely large plane heat source (with the same heat liberation intensity as the circular disc heat source). However, it will be shown in the paper that the contacting times are different. For example, the abrasive grain contacts the heat source, as it moves over the interface, for a longer period of time (˜milliseconds) whereas the workpiece contacts the heat source for a shorter period of time (˜a few microseconds). The equivalent thermal model developed in the present investigation is simple and represents the process more realistically, especially the heat partition. The analytical results reported here are found to be in good agreement with both the analytical and experimental results reported in the literature by other researchers.     

Experimental and finite element analysis of temperature and energy partition to the workpiece while grinding with a flexible robot

Grinding processes performed with flexible robotic tool holders are very unlike conventional types of grinding because of low stiffness of the robot's structure. A special flexible robotic grinding process is used for in situ maintenance of large hydroelectric equipment for bulk material removal over large areas rather than as a finishing step, as is the case for most conventional grindings. Due to the low structural stiffness of tool holder, cutting is interrupted at each revolution of wheel during the grinding process. In this study, an investigation is carried out to determine the temperatures and energy partition to the workpiece for the above-mentioned flexible robotic grinding process by a three-dimensional finite element thermal model. Experiments were undertaken using embedded thermocouples to obtain the subsurface temperature at several points in the workpiece during the process. Then, energy partition to the workpiece was evaluated using a temperature-matching method between the experimental and numerical results. This ratio is used for predicting the temperature field at the wheel–workpiece interface with a relevant heat source function. Kinematics of cut and the flexible robot's dynamic behavior are considered in applying the heat input to the model. The energy partition to the workpiece in this specific flexible grinding process is found to be lower than for analogous conventional precision grinding processes. Two models, one from the literature and one from the power model of the process, are modified and proposed for determining the energy partition. The results showed that the energy partition ratio decreases by increasing the process power. Also, this ratio slightly decreases at higher feed speeds. In addition, lower temperatures were seen at higher powers due to the lower intensity of heat input over a larger contact area. Experimental observations show close agreement between simulated contact temperatures and measured results.     

磨削硬化深度预测

磨削硬化是利用磨削过程中产生的热、机械复合作用直接对工件进行表面淬火的新工艺。通过建立磨削温度三维分析模型和热金属效应分析,实现磨削硬化加工工件硬度的预测。基于瞬时温度分布和运动非稳定三维热传导微分方程,并考虑砂轮与工件及冷却液与工件交互作用时热传导情况和材料本身的热扩散,建立了磨削温度三维分析预测模型,结合对加工过程奥氏体相位比例的计算及珍珠岩、残余奥氏体和马氏体的转变等热冶金效应分析,得出磨削硬化加工后硬化深度,实现随加工参数变化的硬化深度分布预测。将此模型与有限元模型进行对比,并通过实验进行了验证。     

Numerical analysis of grinding temperature measurement by the foil/workpiece thermocouple method

High temperatures generated in grinding are the main factor responsible for thermal damage on the ground surface. The energy partition ratio is often investigated experimentally in order to predict this temperature. The method of the foil/workpiece thermocouple is frequently used. The disruptions of this measurement technique have been studied numerically on a global scale of the wheel by a 2D finite element method taking into account the mica sheets and the constantan foil. The longitudinal thermal inertia of the thermocouple has been determined for various junction thicknesses. The simulations show that the systematic error on the maximum temperature rise (MTR) measurement cannot be neglected and is dependent on grinding conditions such as the workpiece velocity and the arc contact length. Moreover, the junction thickness and the assumed heat flux conducted into the electrode also have an influence on this error. However, the sensor is always accurate during the cooling time outside the foil/wheel contact zone. Consequently, the assessment of the partition ratio is more reliable when made during the cooling phase rather than through the MTR.     

Temperature measurement in high efficiency deep grinding

Temperature measurements are employed for research into the mechanics of grinding and for process monitoring. Temperature measurement in grinding presents a number of challenges particularly in High-Efficiency Deep Grinding (HEDG). High work-speeds require fast response and deep cuts require measurement over a large temperature field. High-speed fluid delivery creates problems for all types of temperature measurement. Electrical noise may require zero-shift filtering. Several techniques of temperature measurement are described. The merits and problems using thermocouple techniques are discussed in detail. In particular, the effect of junction size and shape are discussed. It is shown that the shape and size of the junction have a strong effect both on the reliability of the signal and on the accuracy of the signal. Other problems discussed include improvement of signal to noise ratio, measurements under wet grinding conditions and a technique for measuring contact surface temperatures when taking deep cuts in creep grinding and high-efficiency deep grinding.     

超声振动辅助缓进给磨削温度场仿真与试验分析

目的通过对比研究磨削过程中超声振动辅助缓进给磨削工件表面的温度变化,验证超声振动对磨削热的影响,为进一步研究磨削机理提供依据。方法基于磨削温度场解析模型,建立了磨削热源平均强度。运用ANSYS软件热分析模块分别对普通缓进给磨削和超声辅助缓进给磨削进行了工件表面温度场仿真,得到了不同载荷步的温度场分布以及工件表面的温度时间变化曲线,较准确地反映了磨削工件时工件表面的温度变化。结果试验和模拟表明,缓进给磨削工件时,工件表面温度较高,对工件施加超声振动后,能够有效降低磨削力,减少磨削过程中产生的热量,降低工件表面温度20%左右。结论超声振动辅助磨削工件时,由于工件高频振动导致磨粒与工件间断性接触,使磨削过程变为有规律的脉冲状断续磨削,有利于工件散热,降低了磨削温度,为避免缓进给磨削时容易出现的磨削烧伤现象提供了技术支持。