Analysis of Measured Friction  of  Rolling Balls in Raceway Grooves

Matsubara, Atsushi; Sayama, Atsuko; Sakai, Taku; Reuß, Matthias

doi:10.20965/ijat.2014.p0811

Int. J. Automation Technol.

2014

DOI: 10.20965/ijat.2014.p0811

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Analysis of Measured Friction of Rolling Balls in Raceway Grooves

Atsushi Matsubara¹,

Atsuko Sayama²,

Taku Sakai³

et al.

Abstract: Friction in linear guideways has an influence on the motion accuracy of machine tool drives. As feedback control has a lag to the friction change in reverse motion, a feedforward compensation is generally used in friction models. However, it is difficult to estimate the friction of rolling balls in raceway grooves because it involves both stick and differential slip characteristics. In this paper, a measurement method is presented using an analytical procedure to clarify micro stick and slip factors in rolling… Show more

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Cited by 3 publications

References 16 publications

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Utilization of Multi-Axis Positioning Repeatability Performance in Kinematic Modelling

Szipka¹,

Archenti²

2019

IJAT

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Detailed description of the multi-axis repeatability performance and the modelling of non-systematic variations in the positioning performance of machine tools can support the understanding of root-causes of capability variations in manufacturing processes. Kinematic characterization is implemented through repeated measurements, which include variations related to the performance of the machine tool. This paper addresses the integration of the positional repeatability in kinematic modelling through the employment of direct measurement results. The findings of this research can be used to develop standardized approaches. The statistical population of random errors along the multi-axis travel first requires the proper management of experimental data. In this paper a methodology and its application are presented for the determination of repeatability under static and unloaded conditions as an inhomogeneous parameter in the work space. The proposed approach is demonstrated in a case study, where the component errors of a linear axis are investigated with repeated laser interferometer measurements to quantify the estimated repeatability and express it in the composed repeatability budget. The conclusions of the proposed methodology outline the sensitivity of kinematic models relying on measurement data, as the repeatability of the system can be in the same magnitude as the systematic errors.

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Utilization of Multi-Axis Positioning Repeatability Performance in Kinematic Modelling

Szipka¹,

Archenti²

2019

IJAT

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Modeling Approach for Estimation of Contact and Friction Behavior of Rolling Elements in Linear Bearings

Reuß

Sakai

Matsubara

2019

IJAT

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The improvement in the positioning accuracy of machine tools necessitates reliable friction models for compensation. Friction and damping are primarily caused by mechanical contacts, and they have a wide influence on the dynamics of machine tools. Particularly in the linear motor driven axis, linear bearings induce majority of the friction; contact is observed between the ball and raceway in linear bearings. Based on the Hertzian contact theory and a tangential force model, a model is developed for the friction behavior during the contact between the ball and raceway. This model determines the stick and slip areas, and the relative velocity at the contact surface. Hence, the calculation of the friction force, its hysteresis characteristics, and the stick and slip portions becomes possible.

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Improvement of Reverse Motion of an NC Moving Table Based on Vector Control Method by Friction Force Compensation

Hayashi¹,

Mukai²,

Inomata³

et al. 2019

IJAT

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Lost motion is a phenomenon that often occurs during the motion of a moving table, which is used for machine tools to ensure their precise positioning. Lost motion occurs when the direction of the table’s motion reverses as a result of nonlinear friction characteristics between the feed drive mechanisms such as the ball screw and linear guide. Lost motion directly influences the machining accuracy of a machine tool, because the accuracy of machining depends on the relative motion between the tool and the workpiece. A number of studies have dealt with suppressing the occurrence of lost motion using model-based control. However, nonlinear friction has not been addressed to the same extent, as it is difficult to determine the motion characteristics of and therefore develop a model for the nonlinear friction. Thus, to address these problems, we propose a compensation method for revers motion based on vector control, which is used to control the torque and velocity of the alternating current (AC) servomotor in the moving table. In this study, the current applied to the AC servomotor for a vector with force components in the rotational direction (torque component) and in the direction perpendicular to the axis of rotation (field component) was measured to clarify and establish the relationship between the motion and the control current. The compensation current was then derived as a functional value based on the results of the measured torque at the occurrence of lost motion. Further, tests were carried out using the proposed method, which directly applies the drive current of the AC servomotor by using a field-programmable gate array controller to improve the reverse motion of the table. The results reveal that the motion characteristics of a numerical control (NC) table can be determined by measuring the drive current of the AC servomotor. In addition, it is verified that the proposed method can compensate for the torque command smoothly at the time of velocity reversal, resulting in suppression of the lost motion and reduction of reverse motion of the moving table.

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Analysis of Measured Friction of Rolling Balls in Raceway Grooves

Cited by 3 publications

References 16 publications

Utilization of Multi-Axis Positioning Repeatability Performance in Kinematic Modelling

Utilization of Multi-Axis Positioning Repeatability Performance in Kinematic Modelling

Modeling Approach for Estimation of Contact and Friction Behavior of Rolling Elements in Linear Bearings

Improvement of Reverse Motion of an NC Moving Table Based on Vector Control Method by Friction Force Compensation

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