The machining of low-rigidity components (e.g. thin-walled) with compliant tools presents accuracy challenges as both sides in contact are being deformed. The controlling method presented in this paper enables, for the first time, to obtain the desired and uniform material removal rate by controlling the nominal tool offset when two bodies (workpiece and tool) are compliant in grinding. A contact deformation model is proposed to predict the relation between the nominal and actual tool offsets. The function of nominal tool offsets and material removal rates is obtained based on the calibration tests. Spot grinding tests have been performed for the validation of the calculated material removal rates, normal grinding forces and spot sizes, presenting position-dependent characteristics. The controlling method has been tested for the case of continuous grinding the whole area of a circular aluminium thin wall. The surfaces ground under the time-variant tool offsets (proposed approach) reach the desired removal depth with an average error of ≤10% and achieve 11.2 μm–24.2 μm (P–V) accuracy in the elastic domain, compared with the error of 76.8%~113.7% and accuracy of 42.6 μm–50.1 μm (P–V) in the circumstance of constant tool offsets (conventional approach).

当接触的两面都变形时，使用顺应性工具加工低刚性部件（例如薄壁）会带来精度挑战。当两个物体（工件和刀具）顺应磨削时，本文中介绍的控制方法首次能够通过控制标称刀具偏移量来获得所需的均匀材料去除率。提出了一种接触变形模型来预测名义和实际刀具补偿之间的关系。标称刀具补偿和材料去除率的函数是根据校准测试获得的。已经执行了点磨测试，以验证计算出的材料去除率，法向磨削力和点尺寸，并显示出位置相关的特性。已经针对圆形铝薄壁的整个区域进行连续研磨的情况测试了该控制方法。与时差工具的误差相比，在时变工具偏移下（建议的方法）磨削的表面达到所需的去除深度，平均误差≤10％，并且在弹性域中达到11.2 μm–24.2μm（P–V）的精度。在恒定刀具偏置的情况下（传统方法），精度为76.8％〜113.7％，精度为42.6 μm–50.1μm（P–V）。