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Research Papers

Kinematics and Efficiency Analysis of the Planetary Roller Screw Mechanism

[+] Author and Article Information
Steven A. Velinsky1

Department of Mechanical and Aeronautical Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616savelinsky@ucdavis.edu

Baeksuk Chu, Ty A. Lasky

Department of Mechanical and Aeronautical Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616

Based on the planetary structure, no slip can occur between the rollers and the nut.

1

Corresponding author.

J. Mech. Des. 131(1), 011016 (Dec 16, 2008) (8 pages) doi:10.1115/1.3042158 History: Received April 08, 2008; Revised October 24, 2008; Published December 16, 2008

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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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The planetary roller screw mechanism

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Figure 2

The position of the contact point on the screw, and the corresponding Frenet frame

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Figure 3

(a) Location of contact points on the normal plane; and (b) screw-roller contact with elastic deformation

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Figure 4

The angular motion of the roller and the screw without slip, for θS=2π

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Figure 5

Differential contact arc on the roller and the screw

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Figure 6

The angular motion of the roller and the screw including slip, for θS=2π

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Figure 8

Roller screw mechanism efficiency, η, as a function of helix angle, αS, and contact angle, β

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Figure 9

Normal load, N, as a function of contact angle, β, for αS=6 deg

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