Kinematics of the Ball Screw Mechanism

This paper studies the kinematics of the Ball Screw Mechanism (BSM) with the aim of developing a foundation for understanding the motion of the balls and their contact patterns with the contacting elements. It is shown that there is always slip between the balls and the nut or screw, and therefore, the no-slip condition assumed in the BSM literature is not attainable. The effect of contact deformation on the motion of the balls is also studied and is used to develop the pattern of the constant sliding lines of contact between the ball and the screw or the nut. The results have applications in efficiency analysis, design, wear evaluation and finite element modeling of the BSM.

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Kinematics of the Ball Screw Mechanism

17th Design Automation Conference: Volume 2 — Computer-Aided Design, Mechanical Systems Simulation, and Analysis, Mechanisms, and Robotics ◽

10.1115/detc1991-0141 ◽

1991 ◽

Author(s):

M. C. Lin ◽

B. Ravani ◽

S. A. Velinsky

Keyword(s):

Finite Element ◽

Finite Element Modeling ◽

Efficiency Analysis ◽

Slip Condition ◽

Ball Screw ◽

Contact Deformation ◽

Wear Analysis ◽

Contact Patterns ◽

Analysis Design ◽

Screw Mechanism

Abstract This paper studies the kinematics of the Ball Screw Mechanism (BSM) with the aim of developing a foundation for understanding the motion of the balls and their contact patterns with the contacting elements. It is shown that there is always slip between the balls and the nut or screw, and therefore, the no slip condition assumed in the BSM literature is not attainable. The effect of contact deformation on the motion of the balls is also studied and is used to develop the pattern of the constant sliding lines of contacts between the ball and the screw or the nut. The results have applications in efficiency analysis, design, wear analysis and finite element modeling of the BSM.

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Research on Contact Deformation and Influencing Factor of Ball Screw

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.430-432.755 ◽

2012 ◽

Vol 430-432 ◽

pp. 755-759

Author(s):

Yu Sheng Wang ◽

Ming Ming Wang ◽

Ming Yan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Contact Point ◽

Influencing Factor ◽

Ball Screw ◽

Contact Deformation ◽

Axial Deformation ◽

Hertz Theory ◽

Theoretical Results ◽

Good Agreement

It was calculated contact deformation of ball screw respectively by hertz theory and finite element method, and analyzed the influencing factors. It is found that as the gradually increasing of ball screw load, axial deformation is also increasing gradually,and its deformation gradually smooths. As the increasing of lead angle, deformation of ball screw is gradually decreasing. As the increasing of contact angle, deformation of ball screw is gradually decreasing. Finite element calculated results are in good agreement with the theoretical results,and the error is gradually increasing with the increase of the nut load.The reason is that turning of ball is not fixed in the roller path,and along with the increase of the load, the contact point position is constantly changing among ball,leading screaw and nut.

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Investigation of the Transmission Accuracy of Ball Screw Considering Errors and Preloading Level

10.21203/rs.3.rs-306460/v1 ◽

2021 ◽

Author(s):

Kai Wang ◽

Chang-Guang Zhou ◽

Yi Ou ◽

Hu-Tian Feng

Keyword(s):

Transmission Error ◽

Measuring System ◽

Ball Screw ◽

Contact Deformation ◽

Periodic Fluctuation ◽

Manufacturing Errors ◽

Screw Mechanism ◽

The Difference ◽

Novel Model ◽

Eccentricity Error

Abstract Transmission accuracy is one of the most important parameters in ball screw mechanism (BSM), however, very few researches can be found on the transmission accuracy modelling for BSM. Therefore, this paper proposes a novel model to predicate the transmission accuracy of BSM considering the manufacturing errors, installation errors, as well as the errors due to the contact deformation under different loading status. Meanwhile, the transmission accuracy of a typical BSM under five different preloading levels is measured on the basis of a transmission accuracy measuring system. The experimental results show that the difference is 21.6% under no preload condition, and is less than 11% under different preload conditions, largely owing to the uneven distribution of clearance can increase the travel deviation. Further analysis shows that the eccentricity error, which belongs to the installation error, is the most important factor, mainly generating the periodic fluctuation and amplitude of the transmission error. More importantly, the travel deviation increases with the increase of the preload, which indicates that the transmission accuracy of the BSM deteriorates when the load is increased.

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Kinematics and Efficiency Analysis of the Planetary Roller Screw Mechanism

Journal of Mechanical Design ◽

10.1115/1.3042158 ◽

2008 ◽

Vol 131 (1) ◽

Cited By ~ 57

Author(s):

Steven A. Velinsky ◽

Baeksuk Chu ◽

Ty A. Lasky

Keyword(s):

Elastic Deformation ◽

Carrying Capacity ◽

Kinematic Analysis ◽

Efficiency Analysis ◽

Ball Screw ◽

Load Carrying Capacity ◽

Equilibrium Conditions ◽

Load Carrying ◽

Roller Screw ◽

Screw Mechanism

This paper analyzes the kinematics and the efficiency of the planetary roller screw mechanism (RSM) to provide a fundamental basis to support its various applications. The mechanical structure and practical advantages are presented in comparison with the conventional ball screw mechanism (BSM). Kinematic analysis involves derivation of the angular and axial motions, as well as the development of the slip pattern between the contacting components. Results show that for any motion of the RSM slip always occurs. Kinematic analysis including elastic deformation is also presented. The load carrying capacity and efficiency of the RSM are derived based on geometric and equilibrium conditions, and the results are compared with the BSM.

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