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Stiffness Analysis of Linear Guideways Without Preload

Published online by Cambridge University Press:  20 December 2012

D. Shaw  and
W. L. Su
D. Shaw
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan 30013, R.O.C.
W. L. Su*
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan 30013, R.O.C.
*
*Corresponding author (, [email protected])
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Abstract

Theoretical and experimental investigations of the stiffness of non-clearance linear guideways without preload were conducted. A theoretical approach that applied Hertz's contact theory to steel balls to derive the contact angle equation was proposed. The theoretical analysis showed that the stiffness of the linear guideway under variable vertical loads changes nonlinearly with the external load. Therefore, an experimental setup was proposed in which the stiffness curves of three blocks, differing in geometrical shape and assembled with steel balls, were measured under increased vertical load until the guideway began to plastically deform. The results showed that variation in both the width and the thickness of the block does not significantly affect stiffness. A comparison of the theoretical and experimental results revealed a relative error of 4.5%, indicating the correctness of the theoretical model. Based on theoretical equations, the main parameters that affect stiffness are conformity fm, coefficient of contact deformation cδ, reference diameter of the ball Dw, number of load-carrying rows i, number of load-carrying balls in one row Z, and initial contact angle α0. The results are useful for determining the static/dynamic behavior and rigidity of linear guideways in the design stage.

Keywords

Linear guideway systemStiffnessZero preloadHertz's contact theory
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 2 , June 2013 , pp. 281 - 286
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013

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References

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