Online Deflection Estimation of X-Axis Beam on Positioning Machine

For high-precision devices, one of the most important factors that influence their positioning accuracy is the deflection in the mechanical structures. The finite-element method (FEM) is the most common method used to investigate deflections. However, it has such a high computational complexity that...

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Vydané v:IEEE/ASME transactions on mechatronics Ročník 21; číslo 1; s. 339 - 350
Hlavní autori: Xuan Wang, Huijun Gao, Kaynak, Okyay, Weichao Sun
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York IEEE 01.02.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract For high-precision devices, one of the most important factors that influence their positioning accuracy is the deflection in the mechanical structures. The finite-element method (FEM) is the most common method used to investigate deflections. However, it has such a high computational complexity that it cannot be used in real-time deflection correction applications. In this paper, to improve the accuracy of a positioning machine, an online deflection estimation method that has high accuracy and low computational complexity is proposed. First, by analyzing the mechanical characteristics of the beam, the effect of the positioning head on the beam is represented by four forces located at their contact points and a deflection estimation model is developed. Then, the uncertain parameters of this estimation model are identified by the use of the deflection values obtained from the FEM analysis. The final mathematical model is seen to result in deflection values that are very close to the values obtained by FEM analysis. The applicability of this novel method is discussed and algorithms are proposed that extend the approach to other general gantry structures. Finally, the approach is successfully verified under three typical cases indicating its advantages, w.r.t. estimation accuracy and decreased computational complexity.
AbstractList For high-precision devices, one of the most important factors that influence their positioning accuracy is the deflection in the mechanical structures. The finite-element method (FEM) is the most common method used to investigate deflections. However, it has such a high computational complexity that it cannot be used in real-time deflection correction applications. In this paper, to improve the accuracy of a positioning machine, an online deflection estimation method that has high accuracy and low computational complexity is proposed. First, by analyzing the mechanical characteristics of the beam, the effect of the positioning head on the beam is represented by four forces located at their contact points and a deflection estimation model is developed. Then, the uncertain parameters of this estimation model are identified by the use of the deflection values obtained from the FEM analysis. The final mathematical model is seen to result in deflection values that are very close to the values obtained by FEM analysis. The applicability of this novel method is discussed and algorithms are proposed that extend the approach to other general gantry structures. Finally, the approach is successfully verified under three typical cases indicating its advantages, w.r.t. estimation accuracy and decreased computational complexity.
Author Weichao Sun
Kaynak, Okyay
Xuan Wang
Huijun Gao
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Keywords structural parameter identification
Beam deflection
online estimation
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SubjectTerms AC motors
Accuracy
beam deflection
Complexity
Computation
Computational modeling
Deflection
Estimation
Finite element analysis
Finite element method
Magnetic heads
Mathematical analysis
Mathematical model
Mathematical models
on-line estimation
Positioning devices (machinery)
structural parameter identification
Title Online Deflection Estimation of X-Axis Beam on Positioning Machine
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