Analytical Modeling of a Ball Screw Feed Drive for Vibration Prediction of Feeding Carriage of a Spindle

An analytical modeling approach for ball screw feed drives is proposed to predict the dynamic behavior of the feeding carriage of a spindle. Mainly considering the rigidity of linear guide modules, a ball-screw-feeding spindle is modeled by a mass-spring system. The contact stiffness of rolling interfaces in linear guide modules is accurately calculated according to the Hertzian theory. Next, a mathematical model is derived using the Lagrange method. The presented model is verified by conducting modal experiments. It is found that the simulated results correspond closely with the experimental data. In order to show the applicability of the proposed mathematical model, parameter-dependent dynamics of the feeding carriage of the spindle is investigated. The work will contribute to the vibration prediction of spindles.

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An Intelligent Non-Collocated Control Strategy for Ball-Screw Feed Drives with Dynamic Variations

Engineering ◽

10.1016/j.eng.2017.04.007 ◽

2017 ◽

Vol 3 (5) ◽

pp. 641-647 ◽

Cited By ~ 2

Author(s):

Hui Liu ◽

Jun Zhang ◽

Wanhua Zhao

Keyword(s):

Control Strategy ◽

Ball Screw ◽

Dynamic Variations ◽

Feed Drives ◽

Screw Feed ◽

Collocated Control

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Simulation Modeling of Ball Screw Feed Drive System Based on MRAS

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.226-228.607 ◽

2012 ◽

Vol 226-228 ◽

pp. 607-612

Author(s):

Yong Qiang Wang ◽

Cheng Rui Zhang ◽

Yue Zhang

Keyword(s):

Mathematical Model ◽

Simulation Modeling ◽

Adaptive System ◽

Second Order ◽

Ball Screw ◽

Model Reference ◽

Feed Drive ◽

Model Reference Adaptive System ◽

Model Reference Adaptive ◽

Screw Feed

In order to obtain a second-order mathematical model of the ball screw feed drive systems in the designing stage, this paper proposed a simulation modeling method based on model reference adaptive system. In this method, a parallel model reference adaptive system, which regarded the mechanical model as the reference model and regarded a second-order model as the adjustable model, was designed use only input and output measurements based on Popov’s hyperstability theory. And the second-order model’s parameters could be achieved by simulation. The proposed method was confirmed effective through case study. The results show that: the second-order system’s parameters can be identified correctly, and the output of the mathematical model can be followed preferably by the second-order system. The error is less than 0.02mm.

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