Distributed parameter modeling of flexible ball screw drives using ritz series discretization

Benjamin Henke; Oliver Sawodny; Rüdiger Neumann

doi:10.1109/TMECH.2014.2333775

Distributed parameter modeling of flexible ball screw drives using ritz series discretization

Benjamin Henke, Oliver Sawodny, Rüdiger Neumann

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	6867385
Pages (from-to)	1226-1235
Number of pages	10
Journal	IEEE/ASME Transactions on Mechatronics
Volume	20
Issue number	3
DOIs	https://doi.org/10.1109/TMECH.2014.2333775
State	Published - 1 Jun 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 1996-2012 IEEE.

Keywords

Automation
Distributed parameter systems
Modeling

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TMECH.2014.2333775

Cite this

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abstract = "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.",

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AB - 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.

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Distributed parameter modeling of flexible ball screw drives using ritz series discretization

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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