Model reduction techniques for dynamics analysis of ultra-precision linear stage

doi:10.1007/s11465-009-0009-x

Front Mech Eng Chin

2009, Vol. 4

Issue (1) : 64-70 https://doi.org/10.1007/s11465-009-0009-x

RESEARCH ARTICLE

Model reduction techniques for dynamics analysis of ultra-precision linear stage

Xuedong CHEN(

), Zhixin LI

State Key Laboratory of Numerical Manufacture & Equipment, Huazhong University of Science & Technology, Wuhan 430074, China

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Abstract

Spring-damping elements are used to simplify the internal interaction in the proposed finite element (FE) model of an ultra-precision linear stage. The dynamics behavior is studied. The comparison between mode shapes from the eigenvalue analysis shows that the components, except the translator, can represent system dynamics characteristics. A reduction approach is used to simplify the system in a dynamic studied. There is little difference between the vibration mode and the response analysis. The experimental modal analysis proves the validity of the reduction approach, which can be generalized to the development and dynamics characteristic study of a complex system model to obviously save computational resource.

Keywords dynamics analysis air-bearing linear stage reduction

Corresponding Author(s): CHEN Xuedong,Email:chenxd@mail.hust.edu.cn, hustsummer@yahoo.com.cn

Issue Date: 05 March 2009

Cite this article:

Xuedong CHEN,Zhixin LI. Model reduction techniques for dynamics analysis of ultra-precision linear stage[J]. Front Mech Eng Chin, 2009, 4(1): 64-70.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-009-0009-x
https://academic.hep.com.cn/fme/EN/Y2009/V4/I1/64

Fig.1 Scheme of ultra-precision linear stage

Fig.2 Air-bearing with central feed hole and pocket

Fig.3 Finite element model of ultra-precision linear stage

Tab.1 Dynamics characteristics of ultra-precision linear stage system

Fig.4 First six order mode shape of the ultra-precision linear stage.
(a) 1st order 62.02 Hz; (b) 2nd order 110.29 Hz; (c) 3rd order 128.90 Hz; (d) 4th order 151.34 Hz; (e) 5th order 255.33 Hz; (f) 6th order 295.52 Hz []

Fig.5 Acceleration response of ultra-precision linear stage

Fig.6 Reduced ultra-precision linear stage model

Tab.2 Dynamics characteristic of the reduced model

Fig.7 Mode shapes of reduced ultra- precision linear stage.
(a) 1st order 62.13 Hz; (b) 2nd order 110.59 Hz; (c) 3rd order 129.17 Hz; (d) 4th order 151.45 Hz; (e) 5th order 255.9 Hz; (f) 6th order 295.55 Hz

Fig.8 Acceleration response of reduced-order high precision linear stage

Fig.9 Frequency spectrum pattern of ultra-precision linear stage []

Tab.3 Error analysis of the high precision linear stage

1	Dupont P, Stokes A. Model reduction techniques for shock loaded equipment emulators. 69th Shock and Vibration Symposium, St . Paul, MN, 1998
2	Lefevre J, Gabbert U. Finite element modeling of vibro-acoustic systems for active noise reduction. Technische Mechanik , 2005, 25: 241-247
3	Hwang K H, Lee K W, Park G J. Robust optimization of an automobile rearview mirror for vibration reduction. Struct Multidisc Optim , 2001, 21: 300-308 doi: 10.1007/s001580100107
4	Krysl P, Lall S, Marsden J E. Dimensional model reduction in non-linear finite element dynamics of solids and structures. International Journal for Numerical Methods in Engineering , 2001, 51: 479-504 doi: 10.1002/nme.167
5	Holmes M, Hocken R, Trumper D. The long–range scanning stage: a novel platform for scanned-probe microscopy. Journal of the International Societies for Precision Engineering and Nanotechnology , 2000, 24: 191-209
6	Dejima S, Gao W, Shimizu H, Kiyono S, Tomita Y. Precision positioning of a five degree-of-freedom planar motion stage. Mechatronics , 2005, 15: 969-987 doi: 10.1016/j.mechatronics.2005.03.002
7	Okamoto Y, Takahashi N. Minimization of driving force ripple of linear motor for rope-less elevator using topology optimization technique. Journal of Material Processing Technology , 2007, 181: 131-135 doi: 10.1016/j.jmatprotec.2006.03.057
8	Xuedong Chen, Zhixin Li. Air-bearing position optimization based on dynamic characterstics of ultra-precision linear stage. Frontiers of Mechanical Engineering in China , 2008, 3(4): 400-407 doi: 10.1007/s11465-008-0060-z

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