Distributed Parameter Modeling of Flexible Ball Screw Drives Using Ritz Series Discretization

被引：31

作者：

Henke, Benjamin ^{[1
]}

Sawodny, Oliver ^{[1
]}

Neumann, Ruediger ^{[2
]}

机构：

[1] Univ Stuttgart, Inst Syst Dynam, D-70569 Stuttgart, Germany

[2] Festo AG& Co KG, D-737340 Esslingen, Germany

来源：

IEEE-ASME TRANSACTIONS ON MECHATRONICS | 2015年 / 20卷 / 03期

关键词：

Automation; distributed parameter systems; modeling;

D O I：

10.1109/TMECH.2014.2333775

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Ball screw drives are used in automation applications and machine tools to translate rotational motion of an electric motor into translational motion of a slide. Their frequency responses show characteristic torsional and translational resonances. The resonance frequencies vary with the slide position, which is due to the distributed stiffness and inertia of the flexible ball screw. The proposed model treats the ball screw as a flexible element, using Ritz series expansions to obtain a finite approximation of the continuous deformations. The use of problem-specific basis functions allows for a low-order approximation, making the model especially well suited for control design. The model shows excellent validation results and reproduces the variation of the resonance frequencies with high accuracy.

引用

页码：1226 / 1235

页数：10

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