[雙語翻譯]--機(jī)械外文翻譯--參數(shù)化建模滾珠絲杠主軸

1、第 1 頁 共 22 頁中文 中文 3300 字， 字，2200 單詞， 單詞，10800 英文字符 英文字符出處： 出處：Dadalau A, Mottahedi M, Groh K, et al. Parametric modeling of ball screw spindles[J]. Production Engineering, 2010, 4(6):625-631.Parametric modeling of ball s

2、crew spindlesA. Dadalau ? M. Mottahedi ? K. Groh ?A. VerlAbstract In the product development process numerical optimization can successfully be applied in the early product design stages. In the very common case of ball

3、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

4、 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 e

5、ffects, 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 analytical

6、ly 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 accu

7、racy even more. The presented analytical model is validated against FEM model and catalog data with the help of numerous examples.1.IntroductionThe axial and torsional stiffness of ball screw spindles plays an important

8、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 mea

9、n 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 driv

10、es concentrate on modeling the assembly between ball screw nut and ball screw spindle, which implies high accuracy modeling of contact. In Jarosch compares theoretical stiffness of different types of ball screws, but th

11、e spindle is taken into account simplified as an cylinder with diameter equal to the spindle outer diameter, thus ignoring the stiffness weakening due to spindle thread. With knowledge about the real axial 第 3 頁 共 22 頁ac

12、curacy we divide the ball screw in a core cylinder (0.9d2) and threaded cylinder. The material is modeled as linear, elastic and isotropic with an Young’s modulus 2 mN 210.109 E ?and a Poisson ratio v = 0.3.Fig. 1 Modeli

13、ng of ball screw spindles with ANSYSIn order to compute the axial and torsional stiffness of the ball screw, we need to apply an axial force and a torsional moment to one ball screw end in two different statically load s

14、teps. The other end of the ball screw has to be constrained in the same directions in order to prevent rigid body motion. At the same time both end areas of the ball screw should be able to freely expand or contract in r

15、adial direction. We apply these constraints and forces with the help of surface based constraints on two single pilot nodes (TARGE170). The constraints and forces of the pilot nodes are distributed to the end areas of th

16、e ball screw through contact nodes (CONTA174) only in axial and tangential direction, see Fig. 2.3 Comparison with catalog dataIn order to validate our model we generated 40 different models of Bosch-Rexroth screw spindl

17、es. The simulation results of the axial stiffness can be compared with catalog data which is provided by Bosch-Rexroth. As a reference for the comparison we use the analytical equation for axial stiffness, which can be f