Modeling of Displacement of Linear Roller Bearing Subjected to External Forces Considering LM Block Deformation

Kwon, Sun-Woong; Tong, Van-Canh; Hong, Seong-Wook

doi:10.3795/ksme-a.2016.40.12.1077

Cited by 6 publications

(2 citation statements)

References 7 publications

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“…In order to consider the effect of guide rail error on the linear bearing, the linear roller bearing model from Ref. [3] was used. Fig.1(a) shows the external force and corresponding displacement vectors in the global coordinate system of the linear roller bearing.…”

Section: Linear Bearing Modelingmentioning

confidence: 99%

Study on the Effect of Waviness Guide Rail Error on the Precision of Linear Roller Bearings

HONG¹,

KWON²,

VAN³

2018

Sixth International Conference on Advances in Civil Structural and Mechanical Engineering CSM 2018

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Linear bearings are widely used to sustain positioning systems for machine tools. A linear bearing consists of a linear guide rail, rolling elements, and a carriage. For most positioning systems employing linear bearing, the guide rail error is closely related to the precision of the systems. In this study, the motion accuracy of linear roller bearings (LRBs) on the guide rail with vertical waviness error were investigated. To obtain the displacement of the carriage on the erroneous guide rail, a simulation model considering the contact surface deformation between the roller and carriage and between the roller and rail was developed. A flexible body model considering the carriage deformation due to contact load was also considered. The guide rail error was assumed to be harmonic with the period of consecutive clamping bolts because of bolt fastening to clamp the guide rail on the base. The contact loads of the LRBs were calculated with varying the amount of guide rail waviness error using the rigid body model, and the displacements due to the guide rail error was calculated. Then, to obtain the total displacement of the carriage, the elastic deformation of the carriage was calculated using the contact loads obtained from the rigid body model. The motion errors when the carriage moves along the guide rail with waviness error were calculated with varying the amount and period of waviness error. A rigorous investigation was made on the correlation between the carriage length and the interval of fastening bolts.

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Section: Linear Bearing Modelingmentioning

confidence: 99%

Study on the Effect of Waviness Guide Rail Error on the Precision of Linear Roller Bearings

HONG¹,

KWON²,

VAN³

2018

Sixth International Conference on Advances in Civil Structural and Mechanical Engineering CSM 2018

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“…This approach was extended in Kwon et al. 18 but considered only three-degrees-of-freedom (DOF) loading conditions. A complete 5-DOF linear bearing model, which considers the deformation of all bearing components and subjected to 5-DOF loading, has rarely been discussed.…”

Section: Introductionmentioning

confidence: 99%

Five-degrees-of-freedom model for static analysis of linear roller bearing subjected to external loading

Kwon

Tong

Hong

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper presents a novel five degrees-of-freedom model for the static analysis of linear roller bearings subjected to external loading. In this study, first, a rigid analytical model was developed to obtain the roller contact loads and displacements of carriage caused by the elastic deformation at the roller–carriage and roller–rail contacts. The non-Hertzian contact loads between the rollers and raceways were utilized to consider the profiled roller and/or profiled guide rail. Next, the structural deformations of the carriage owing to the contact loads were computed using the finite element method. The associated displacements of the carriage top were derived systematically. Then, the total displacements of the carriage top were obtained by summing the displacements estimated from the rigid model and the induced structural displacements obtained by finite element method. The proposed model was validated by comparing the calculated displacements of the carriage with those from a commercial program under various loading conditions. Further investigation regarding the effect of preload on displacements of the linear roller bearing was conducted. The simulation results showed the dependence of carriage rigidity and internal load distribution on the linear roller bearing characteristics.

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Modeling of Moving Table with Linear Roller Guides Subjected to Geometric Errors In Guide Rails

Tong

Kwon²,

Hong

2020

Int. J. Precis. Eng. Manuf.

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Modeling of Displacement of Linear Roller Bearing Subjected to External Forces Considering LM Block Deformation

Cited by 6 publications

References 7 publications

Study on the Effect of Waviness Guide Rail Error on the Precision of Linear Roller Bearings

Study on the Effect of Waviness Guide Rail Error on the Precision of Linear Roller Bearings

Five-degrees-of-freedom model for static analysis of linear roller bearing subjected to external loading

Modeling of Moving Table with Linear Roller Guides Subjected to Geometric Errors In Guide Rails

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