Mechanistic Model of Work-Piece Diametrical Error in Conventional and Ultrasonic Assisted Turning

Abstract

The spring back is a major source of diametrical error occurring in turning of workpieces. In order to analyze diametrical error, an elastic deflection model of workpiece should be available. Many assumptions are usually taken into consideration when analyzing the elastic deformation of workpiece. Many studies have been done to find the analytical model of work-piece spring back and its suitable cutting force model. When compared with experimental data, developed models in these works are associated with considerable errors. In this paper, through using experimental results, an efficient elastic deformation model of workpiece has been obtained which can be compared with analytical model. Many experiments were performed, and some different functions were produced which predict the trend of experimental results. Finally, an appropriate model with the lowest error was suggested. The same process has been performed in ultrasonic vibrations assisted turning. The obtained functions will be suitable to compensate for the diametrical error occurring by machining forces. Finally this model has been used to obtain the amount of elastic spring back of tool and spindle.