Numerical method to calculate the deformation of thin rings during turning operation and its influence on the roundness tolerance

Resumen:
This paper presents a model to estimate the total deformation of turned rings. It takes into account the clamping forces values at different angular positions of the workpiece, and the cutting forces during machining. The model is based on the Castigliano Theorem and uses the Chebyshev polynomials to get a stable solution to the differential equation of deformation. Cutting tests were conducted in a lathe and resultant roundness profiles were measured. The results showed good agreement with the model predictions