Thermal Analysis of Ballscrew Systems by Explicit Finite Difference Method

Friction generated from balls and grooves incurs temperature rise in the ballscrew system. Thermal deformation due to the heat degrades positioning accuracy of the feed drive system. To compensate for the thermal error, accurate prediction of the temperature distribution is required first. In this paper, to predict the temperature distribution according to the rotational speed, solid and hollow cylinders are applied for analysis of the ballscrew shaft and nut, respectively. Boundary conditions such as the convective heat transfer coefficient, friction torque, and thermal contact conductance (TCC) between balls and grooves are formulated according to operating and fabrication conditions of the ballscrew. Explicit FDM (finite difference method) is studied for development of a temperature prediction simulator. Its effectiveness is verified through numerical analysis. ????????? ???????????? ?????? ????????? ???????????? ???????????? ????????? ?????? ????????? ????????????, ?????? ?????? ???????????? ???????????? ???????????? ????????? ???????????????. ?????? ???????????? ???????????? ????????? ??????????????? ????????? ????????? ????????????. ??? ??????????????? ????????? ??????????????? ?????? ??????????????? ???????????? ?????? ????????? ?????? ????????? ?????? ???????????? ?????? ???????????? ????????????. ??????????????? ?????? ???????????????, ?????? ??????????????? ???????????? ??????????????? ?????????????????? ????????? ?????? ??? ?????? ????????? ????????? ????????? ??????. ?????????, ????????? ?????????????????? ????????? ?????? ?????? ?????? ?????????????????? ???????????? ??? ???????????? ????????????