Nauka i Obrazovanie (Jan 2014)
Analysing a Relationship Between Wheel Wear and Cutting Forces During Diamond Grinding
Abstract
In diamond grinding cutting forces affect the quality of the machined surface. We can estimate a wear rate of the diamond wheel by the magnitude of the forces and promptly resort to the restoration of its cutting properties. To solve this problem it is necessary to define a relationship between grinding wheel wear and cutting forces. There was no this dependence found in the sources of literature.The forces acting on a single worn diamond grain are considered to find the relationship between wheel wear and cutting forces. The main forces acting on the diamond grain are such as a reaction force of machining material, a frictional force over a worn place of the grain, and a total pressure on the contact surface of the grain and machining material. According to calculation results, in grinding the cutting forces are proportional to the hardness of machining material, and depend on the grain wear, as well as on the process operation conditions.The paper presents a technique for calculating the number of cutting (active) grains per unit surface of diamond wheel to determine a total cutting force in grinding. The number of cutting grains depends on the properties of diamond wheel and on the operation conditions of grinding process.During grinding a total cutting force is calculated through the single grain cutting force, the number of cutting grains per unit surface of the grinding wheel and the contact area between the wheel and the work piece. Theoretical calculation of the forces is based on the condition that protrusions of all cutting grains are identical and all grains have a maximum wear, i.e. maximum worn place of grain.Calculations based on proposed theoretical formulas are compared with the calculations from the empirical formulas given in the literature. Varying the operation conditions of grinding makes the comparison. Convergence of results in the range of 5-20% is regarded as acceptable.On the BMSTU base flat diamond grinding of tungsten carbide (Т15К6) work pieces was experimentally made. Experiments were carried out on the universal flat-grinding machine 3G71M using a diamond grinding wheel 6А2 250х20х4х29х76 АС6 160/125 А1 100% М1-01 according to GOST 16170-91. When using this equipment, cutting operation conditions, namely grinding speed and longitudinal table feed were 35 m/s and 3 - 12 m/min, respectively.The work piece was clamped in a vise. Vise was set on the universal attachment. Device was installed on a three-component dynamometer brands Kistler 9257B to measure cutting forces.Grinding was carried out under the following operation conditions: traverse Strav= 3 m/min, depth of cutting t = 20 μm. Grinding used a water-based cooling emulsion. Wheel speed was 35m/s. The dynamometer was tuned to the frequency of signal equal to 250 Hz.After processing the experimental and calculated data were compared using the theoretical formulas. The maximum difference between them was 17%.Owing to the presented model it is possible to obtain data on the diamond tool wear during cutting through a change of the tangential component of the cutting force. With the definite maximum wear of diamond wheel it is possible to calculate a threshold value of the tangential component of the cutting force. When the threshold value of the tangential component of the cutting force is reached, a diamond wheel must be subjected to dressing. On-time wheel dressing allows us to avoid reducing quality of the machined surface.Control of forces in the cutting zone is difficult to organize; the procedure can be performed by power control of the grinding spindle through the current control.
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