An Analytical Study of Diametral Error in Simultaneous Turning Process

Diametral error plays a significant role in determining the quality of the machined component. It becomes more important for long-slendered workpiece with slenderness ratio greater than six. In the present work, an attempt is made to estimate the diametral error analytically during simultaneous turning process. The cutting tools are kept opposite to one another, so that the cutting forces act opposite to each of them. Euler–Bernoulli beam theory was applied to determine the cutting tool deflection. The workpiece was assumed as a propped cantilever beam. The diametral error was determined for various slenderness ratios of the workpiece. It was revealed that the diametral accuracy increased when the slenderness ratio decreased. This is due to the fact that lesser length-to-diameter ratio contributed to increased rigidity of the workpiece, resulting in the reduction of diametral error. The maximum and minimum diametral error occurred for the workpiece slenderness ratio of 8 and 4, respectively. Further, the results of the developed analytical model were compared with the published literature, and a good agreement was found.