Abstract
The purpose of this study is to investigate the modeling method of static stiffness for the linear motion roller guide (LMRG) with five degrees-of-freedom (5DOF). The model of static stiffness for the LMRG with 5DOF was established using the slicing method, the guide deformation compatible equation, and the force equilibrium equation of the guide. The static stiffness of the LMRG was analyzed systematically via a case study, and the simulating results were verified by the experimental data. The results show that the proposed model can be used to calculate the complete static stiffness for the LMRG with 5DOF.
Issue Section:
Applications
References
1.
Zhao
, G.
, Xiong
, Z.
, Jin
, X.
, Hou
, L.
, and Gao
, W.
, 2018
, “Prediction of Contact Stiffness in Bolted Interface With Natural Frequency Experiment and Finite Element Analysis
,” Tribol. Int.
, 127
(10
), pp. 157
–164
. 10.1016/j.triboint.2018.05.0442.
Li
, X.
, Zhao
, G.
, and Wen
, B.
, 2013
, “Fractal Prediction Model for Tangential Contact Stiffness of Joint Surface Considering Friction Factors and Its Simulation Analysis
,” Tribology
, 33
(5
), pp. 463
–468
.3.
Zhang
, H.
, Zhiheng
, W. U.
, Chen
, M.
, Zheng
, Z.
, and Cao
, P.
, 2017
, “Contact Surface Parameters Identification and Numerical Simulation of the Roller Linear Guides
,” Mach. Tool Hydraul.
, 45
(11
), pp. 121
–125
(in Chinese).4.
Guo
, C.
, Yuan
, J.
, Zhang
, H.
, and Wang
, Z.
, 2011
, “Experimental Research on the Dynamic Stiffness of Rolling Guide’s Joint
,” Mach. Des. Manuf.
, 49
(12
), pp. 115
–117
.5.
Kai
, Y.
, Fukuta
, M.
, Matsubara
, A.
, and Kono
, D.
, 2013
, “Dynamic Characteristics of Ultra-Precision Machine Tools (Evaluation for Stiffness of Guideways by Impact Test)
,” Trans. Jpn. Soc. Mech. Eng.
, 79
(808
), pp. 4624
–4633
. 10.1299/kikaic.79.46246.
Ohta
, H.
, Kato
, T.
, Kato
, S.
, and Tajimi
, H.
, 2015
, “Carriage Drift in Linear-Guideway Type Roller Bearings
,” ASME J. Tribol.
, 137
(2
), p. 024505
. 10.1115/1.40296417.
Harris
, T. A.
, and Kotzalas
, M. N.
, 2007
, Rolling Bearing Analysis: Advanced Concepts of Bearing Technology
, 5th ed., CRC Press
, Boca Raton, FL
.8.
Houpert
, L.
, 2014
, “An Enhanced Study of the Load–Displacement Relationships for Rolling Element Bearings
,” ASME J. Tribol.
, 136
(1
), p. 011105
. 10.1115/1.40256029.
Feng
, J.
, Zhao
, M.
, Chen
, W.
, and Yang
, X.
, 2013
, “The Calculation and Verification for the Rigidity of the Roller Linear Guide
,” Mech. Electr. Eng. Technol.
, 42
(8
), pp. 159
–162
(in Chinese).10.
Liu
, S.
, 2011
, “Mechanical Performance Analysis of Roller Linear Guide Pair
,” Ph.D. thesis
, Huazhong University of Science and Technology
, Wuhan
(in Chinese).11.
Shu
, Y.
, Ou
, Y.
, Zu
, L.
, Jiang
, B.
, and Zang
, W.
, 2016
, “Study on Preloading of Roller Linear Guide Way Based on Stiffness Measurement
,” Eng. Test
, 56
(3
), pp. 22
–25
(in Chinese).12.
Dan
, X. U.
, Liu
, Q.
, and Yuan
, S.
, 2008
, “Research on Static Stiffness of Roller Guideway
,” Mach. Tool Hydraul.
, 36
(4
), pp. 8
–10
(in Chinese).13.
Ke
, N.
, Feng
, H. T.
, Chen
, Z. T.
, Ou
, Y.
, and Zhou
, C. G.
, 2016
, “Real Contact Total Length of Linear Motion Roller Guide Without Preload Based on Greenwood-Williamson Rough Contact Model
,” Proc. Inst. Mech. Eng. Part C
, 231
(22
), pp. 4274
–4284
. 10.1177/095440621666454814.
Horng
, T.
, 2009
, “An Analytical Solution of the Stiffness Equation for Linear Guideway Type Recirculating Rollers With Arbitrarily Crowned Profiles
,” Proc. Inst. Mech. Eng. Part C
, 223
(6
), pp. 1351
–1358
. 10.1243/09544062JMES120815.
Teutsch
, R.
, and Sauer
, B.
, 2004
, “An Alternative Slicing Technique to Consider Pressure Concentrations in Non-Hertzian Line Contacts
,” ASME J. Tribol.
, 126
(3
), pp. 436
–442
. 10.1115/1.173924416.
Kabus
, S.
, Hansen
, M. R.
, and Mouritsen
, O.
, 2012
, “A New Quasi-Static Cylindrical Roller Bearing Model to Accurately Consider Non-Hertzian Contact Pressure in Time Domain Simulations
,” ASME J. Tribol.
, 134
(4
), p. 041401
. 10.1115/1.400721917.
Mul
, J. M. D.
, Vree
, J. M.
, and Maas
, D.
, 1989
, “Equilibrium and Associated Load Distribution in Ball and Roller Bearings Loaded in Five Degrees-of-Freedom While Neglecting Friction—Part I: General Theory and Application to Ball Bearings
,” ASME J. Tribol.
, 111
(1
), pp. 142
–148
. 10.1115/1.326186418.
Zhu
, D.
, Wang
, J.
, Ren
, N.
, and Wang
, Q.
, 2012
, “Mixed Elastohydrodynamic Lubrication in Finite Roller Contacts Involving Realistic Geometry and Surface Roughness
,” ASME J. Tribol.
, 134
(1
), p. 011504
. 10.1115/1.400595219.
Luo
, J.
, 2009
, Rolling Bearing Analysis and Application
, Machinery Industry Press
, Beijing, China
(in Chinese).20.
Shimizu
, S.
, 1990
, “Load Distribution and Accuracy/Rigidity of Linear Motion Ball Guide System
,” JSPE
, 56
(8
), pp. 1445
–1451
(in Japanese).21.
Jin
, Y. S.
, 1993
, Proceedings of the First International Symposium on Tribology
, International Academic Publishers
, Beijing, China
.22.
Timoshenko
, S. P.
, and Goodier
, J. N.
, 1969
, Theory of Elasticity
, 3rd ed., McGraw-Hill
, New York
.Copyright © 2019 by ASME
You do not currently have access to this content.