Estimation of the shape error in the Long workpiece from the normal grinding force of cylindrical traverse grinding

In cylindrical traverse grinding of a slender workpiece, the elastic deformation of the workpiece is caused by the normal grinding force. Due to the low stiffness of a slender workpiece, the workpiece shape error tends to increase especially at the end edge where the wheel draws away from the workpiece. This shape error observed at the end edge of the workpiece has great influence on the shape accuracy of the ground workpiece. Therefore, it is necessary to reduce the shape error at the end edge to improve the shape accuracy. The purpose of this study is to estimate the shape error at the end edge of the workpiece to explore appropriate grinding conditions. The shape error of the ground workpiece was estimated by calculating the elastic deformation of the ground workpiece based on the measured normal grinding force. The estimated shape error agreed well with the measured one of the actually ground workpiece. Investigation compared the shape error of the ground workpiece with the estimated one from the normal grinding force measured during the process.