Modeling of Deformation of Ring Shaped Workpieces Due to Chucking and Cutting Forces

This paper presents a theoretical model for predicting static elastic deformations of ring-type workpieces due to in-plane chucking and cutting forces applied in turning processes. The model is derived from classical elasticity theory for bending of thin rings. Experimental results are presented to verify the strengths and limitations of the model. The results from a finite element model are also presented for comparison. The theoretical model is shown to be accurate to within 6% of the measured radial deformation due to chucking loads for rings with inner-to-outer diameter ratio Din/Dout of 0.881. The finite element model is shown to yield slightly better results for higher diameter ratios. The theoretical model is also verified under actual cutting loads and shown to be in good agreement with measurements.