Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units

Abstract

The article presents a mathematical model of tensioning in a collet clamping mechanism with a rotary movable input link designed for spindle units. The study is aimed at improving workpiece clamping processes in machine tools through a more accurate determination of the mechanism’s force parameters. The proposed model takes into account the geometric and kinematic characteristics of the clamping system components as well as the features of force transmission during operation. An analysis of the relationship between the design parameters of the mechanism and the resulting clamping force is carried out. The obtained results can be used to optimize the design of spindle units, increase their operational reliability, and ensure the stability of machining processes. The developed mathematical model provides a basis for further research and improvement of clamping devices used in modern machine-tool systems.