Finite difference calculations of the deformations of multi-diameter workpieces during turning

This paper presents an easily implemented finite difference (FD) analysis method for calculating the deformations of multi-diameter workpieces during turning. Finite difference models have been developed to describe the deformation of a workpiece when the turning conditions such as the cutting force, the workpiece material as well as shape dimensions, and the clamping types are taken into account. The proposed method has been verified by comparing it with the theoretical results of a simple workpiece with uniform diameter. Based on the results of calculation, a modified correction method, which is used to compensate the deflections in order to achieve the required accuracy of workpiece diameter, is also proposed for turning operations.