外文翻译-参数化建模滚珠丝杠主轴.doc

第 PAGE 14页 共22页 毕业设计中英文翻译 高洪宇0702014425 高洪宇 0702014425 学生姓名： 学号： 学 院： 专 业： 机械设计制造及其自动化 指导教师： 机械工程与自动化学院 机械工程与自动化学院 Parametric modeling of ball screw spindles A. Dadalau ? M. Mottahedi ? K. Groh ? A. Verl Abstract In the product development process numerical optimization can successfully be applied in the early product design stages. In the very common case of ball screw drives, the dynamical behavior is most depending on the geometrical shape of the ball screw itself. Properties like axial and torsional stiffness, moment of inertia, maximum velocity and acceleration are determined not only by the servo motor but also by screw diameter, slope and ball groove radius. Furthermore coupling effects between the design variables make the optimization task even more difficult. In order to capture these effects, efficient numerical (usually FEM or MBS) models are needed. In this work ，a new more accurate and efficient method of computing the axial and torsional stiffness of ball screw spindles is presented. We analytically derive parametric equations which depicts most of the dependencies of stiffness on geometrical parameters of the screw. Furthermore, we enhance the analytical model with an identified function, which increase the accuracy even more. The presented analytical model is validated against FEM model and catalog data with the help of numerous examples. 1.Introduction The axial and torsional stiffness of ball screw spindles plays an important role in the dynamic behavior of ball screw drives, since it essentially determine the first and second eigenvalues of ball screw drives. When modeling ball screw drives with FEM the thread is usually ignored and some mean diameter is used to model a simplified ball screw. Therefore it is crucial to have knowledge about the best approximating mean diameter. Most of the previous work on modeling and simulating stiffness of ball screw drives concentrate on modeling th