SURFACE TEMPERATURES AND VACATION BURNS OCCURRING DURING GRINDING OF CEMENTED GEARS WITH TWO DISHED WHEELS ON DIFFERENT PARTS OF THE MACHINED INVOLUTE PROFILE

V. Tonkonogyi, Oleksiy Yakymov, L. Bovnegra, Fedir Nоvikоv
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The difference in temperature at different points of the processed tooth profile is justified by the fact that at different parts of the trajectory of the movement of the heat source acts a different number of thermal pulses. These pulses have different duration and time intervals between the actions of these pulses in different points of the involute profile are also different. The number of thermal actions on a fixed point of the machined profile depends on the length of the heat source, and the duration of heating of the surface at this point is determined by the width of the heat source. The duration of cooling depends on the location of the point on the involute profile. Mathematical models have been developed to calculate the temperatures at different parts of the trajectory of the rolling path of a disc grinding wheel on the tooth being machined. Each of these formulas contains two sums. The first sum determines the temperature increase at a fixed point of the tooth profile under repeated exposure to thermal pulses during the forward stroke, and the second sum - during the reverse stroke. Mathematical models are based on the principle of superposition of thermal fields. It is found that the temperature in the middle part of the tooth is 40% less than at the tooth apex and 20% less than at the tooth base. The engineering method of distribution of the total allowance by passes at multi-pass gear grinding with two dished wheels according to the zero scheme has been developed. The method is based on the experimental dependence of the depth of the defect layer on the depth of cutting, which has a linear character. In the work, calculations were made on the allowance distribution in the initial, middle and final points of the involute tooth profile. The calculations showed that in order to prevent burns on the final machined surface, grinding in different parts of the machined profile should be performed with a different number of passes. The smallest number of passes on the separating circle, and the largest - on the top of the tooth. The proposed methodology of distribution of allowances by passes can be used at the stage of design of gear grinding operation (for optimization of modes) and at the stage of machining (for diagnostics of the operation). It is theoretically substantiated that calculations of allowance distribution by passes should be made only for the tooth head. To increase grinding productivity with provision of the specified physical and mechanical properties of the surface layer of the processed part it is necessary to know the temperature on the surface of the workpiece, as its value depends on the depth of the defective surface layer. 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引用次数: 0

Abstract

To increase grinding productivity with the provision of specified physical and mechanical properties of the surface layer of the surface layer of the processed part it is necessary to know the temperature on the surface of the workpiece, since its value depends on the depth of the defective surface layer. In the work theoretically justified the difference of surface temperatures in the initial (at the base), in the middle (on the dividing circle) and final (at the top) points of involute profile of the gear tooth when grinding with two disc wheels on the zero scheme. The difference in temperature at different points of the processed tooth profile is justified by the fact that at different parts of the trajectory of the movement of the heat source acts a different number of thermal pulses. These pulses have different duration and time intervals between the actions of these pulses in different points of the involute profile are also different. The number of thermal actions on a fixed point of the machined profile depends on the length of the heat source, and the duration of heating of the surface at this point is determined by the width of the heat source. The duration of cooling depends on the location of the point on the involute profile. Mathematical models have been developed to calculate the temperatures at different parts of the trajectory of the rolling path of a disc grinding wheel on the tooth being machined. Each of these formulas contains two sums. The first sum determines the temperature increase at a fixed point of the tooth profile under repeated exposure to thermal pulses during the forward stroke, and the second sum - during the reverse stroke. Mathematical models are based on the principle of superposition of thermal fields. It is found that the temperature in the middle part of the tooth is 40% less than at the tooth apex and 20% less than at the tooth base. The engineering method of distribution of the total allowance by passes at multi-pass gear grinding with two dished wheels according to the zero scheme has been developed. The method is based on the experimental dependence of the depth of the defect layer on the depth of cutting, which has a linear character. In the work, calculations were made on the allowance distribution in the initial, middle and final points of the involute tooth profile. The calculations showed that in order to prevent burns on the final machined surface, grinding in different parts of the machined profile should be performed with a different number of passes. The smallest number of passes on the separating circle, and the largest - on the top of the tooth. The proposed methodology of distribution of allowances by passes can be used at the stage of design of gear grinding operation (for optimization of modes) and at the stage of machining (for diagnostics of the operation). It is theoretically substantiated that calculations of allowance distribution by passes should be made only for the tooth head. To increase grinding productivity with provision of the specified physical and mechanical properties of the surface layer of the processed part it is necessary to know the temperature on the surface of the workpiece, as its value depends on the depth of the defective surface layer. In the work theoretically justified the difference in surface temperatures in the initial (at the base), in the middle (on the dividing circle) and final (at the top) points of involute profile of the gear tooth when grinding with two disk wheels on the zero scheme. The difference in temperature at different points of the processed tooth profile is justified by the fact that at different parts of the trajectory of the heat source acts a different number of thermal pulses. These pulses have different duration and time intervals between the actions of these pulses in different points of the involute profile are also different. The number of thermal actions on a fixed point of the machined profile depends on the length of the heat source, and the duration of heating of the surface at this point is determined by the width of the heat source. The duration of cooling depends on the location of the point on the involute profile. Mathematical models have been developed to calculate the temperatures at various parts of the rolling path of a dished grinding wheel on a machined tooth. Each of these formulas contains two sums.
用两个盘形砂轮在加工渐开线齿廓的不同部位磨削硬齿面齿轮时出现的表面温度和假期烧伤
为了提高磨削生产率,使加工工件表面层具有规定的物理和机械性能,有必要了解工件表面的温度,因为其值取决于缺陷表面层的深度。在这项工作中,从理论上证明了在零方案上使用两个圆盘砂轮磨削时,齿轮齿渐开线轮廓的初始点(底部)、中间点(分割圆上)和最终点(顶部)表面温度的差异。由于热源运动轨迹的不同部分会产生不同数量的热脉冲,因此加工齿廓不同点的温度也会不同。这些脉冲的持续时间不同,这些脉冲在渐开线轮廓不同点的作用时间间隔也不同。加工轮廓固定点上的热作用次数取决于热源的长度,该点表面的加热持续时间取决于热源的宽度。冷却持续时间取决于渐开线轮廓上该点的位置。已开发出数学模型来计算盘形砂轮在被加工齿上滚动轨迹的不同部分的温度。每个公式都包含两个和。第一个和确定在正向冲程中反复暴露于热脉冲下的齿形固定点的温度升高,第二个和确定在反向冲程中的齿形固定点的温度升高。数学模型基于热场叠加原理。结果发现,牙齿中部的温度比齿顶低 40%,比齿根低 20%。根据零点方案,开发了多道次齿轮磨削中两个盘形砂轮各道次总余量的工程分配方法。该方法基于缺陷层深度对切削深度的实验依赖性,具有线性特征。在这项工作中,对渐开线齿形的初始点、中间点和最终点的余量分布进行了计算。计算结果表明,为了防止最终加工表面出现烧伤,在加工轮廓的不同部位应采用不同的磨削遍数。分离圆的磨削遍数最少,齿顶的磨削遍数最多。所提出的按遍数分配余量的方法可用于磨齿操作的设计阶段(优化模式)和加工阶段(操作诊断)。从理论上讲,应仅针对齿头计算各道次的余量分配。为了提高磨削生产率,使被加工工件表面层具有规定的物理和机械性能,有必要了解工件表面的温度,因为其值取决于缺陷表面层的深度。在这项工作中,从理论上证明了在零方案上使用两个圆盘砂轮磨削时,齿轮齿渐开线轮廓的初始点(底部)、中间点(分割圆上)和最终点(顶部)表面温度的差异。由于热源轨迹的不同部分会产生不同数量的热脉冲,因此加工齿廓不同点的温度也会不同。这些脉冲的持续时间不同,这些脉冲在渐开线轮廓不同点的作用时间间隔也不同。加工轮廓固定点上的热作用次数取决于热源的长度,该点表面的加热持续时间取决于热源的宽度。冷却持续时间取决于渐开线轮廓上该点的位置。已开发出数学模型来计算加工齿上的斜面砂轮滚动路径上各部分的温度。每个公式都包含两个和。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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