本文以單磨刃磨削為基礎，建立砂輪磨削製程的磨削平均力解析模式。以平均單位面積磨刃數、平均切屑厚度及平均切屑寬度等磨削幾何特徵，將砂輪簡化模擬為具有等磨刃間距與等效的幾何特性的銑刀，以銑削製程模擬簡化的平均磨削製程，藉由捲積方法建立此簡化砂輪的平均磨削力解析式，使得平均磨削力可以由磨削參數與磨削係數來表示。此解析式可以藉由磨削參數與磨削係數得到平均磨削力，也可以經由平均磨削力與磨削參數得到不同砂輪與工件的磨削係數。進一步地，藉由本模式可以將總磨削力分離為剪切磨削力與犁切磨削力。本文同時以實驗證明不同磨削條件有不同的剪切與犁切力分佈，且隨著切屑厚度愈薄比犁切磨削能在總比磨削能中所佔比例愈大。

Based on the mechanistic grinding force model for a single abrasive grain, this paper presents a close form expression for the average grinding force in the wheel grinding process. Based on the key geometric features of the grinding process including the surface grit density, the average chip thickness and the average chip width, the grinding wheel is approximated by a milling cutter with evenly spaced cutting teeth of the equivalent geometric characteristics. Convolution concept is applied to the simulated milling cutter to obtain an analytical expression for the average grinding forces in terms of the grinding conditions and grinding constants. Conversely, the unknown mechanistic grinding constants can be calculated from the measured average forces for the given pair of grinding wheel and work material. Furthermore, both shearing grinding force and ploughing grinding force can be separated from total grinding force. Experiments were carried out to prove the model’s predictive accuracy for the average forces and also to verify its efficacy in obtaining the mechanistic constants under various grinding conditions.

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