Mathematical Model for Tapping Simulation to Predict Radial Pitch Diameter Difference of threads

Abstract

As the most important component of parts, thread has a great influence on the mechanical properties and service performance of parts. In order to ensure the quality of the thread, the thread quality inspection standard involves 11 main thread characteristics, of which the surface roughness of the thread is the most studied, and the research on Radial Pitch Diameter Difference (RPDD) is still blank. In this paper, a quasi-static model of the tapping process is developed based on the roundness error mechanism of the hole, which includes cutting force and cutting damping force. Due to the regenerative nature of cutting, the force on each cutting edge depends on both the tool’s current position and previous position. According to the eigenvalues and eigenvectors of the discrete state-transition matrix, RPDD is finally determined, and the influence of the chamfer length and the spindle speed on RPDD is simulated by this model. The results demonstrate that the chamfer length and spindle speed will affect RPDD, and the RPDD is the smallest when the chamfer length is 2 threads and the spindle speed is 1400 rev/min. The development of this model not only provides a cheap and effective method for the study of RPDD, but also lays a foundation for further experimental research.