Lagrange-method-based dynamic analysis of multi-stage planetary roller screw mechanism
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Published:2021-05-07
Issue:1
Volume:12
Page:471-478
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ISSN:2191-916X
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Container-title:Mechanical Sciences
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language:en
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Short-container-title:Mech. Sci.
Author:
Li Xin,Liu Geng,Fu Xiaojun,Ma Shangjun
Abstract
Abstract. A rigid-body dynamic model of multi-stage planetary roller screw
mechanism (multi-stage PRSM) is proposed in this paper. The structure of
multi-stage PRSM is introduced and the motion analysis is presented. The
total kinetic energy of the mechanism is calculated. The rotation of the
screws and carriers is chosen as generalized degrees of freedom. The
generalized forces and motion equations of multi-stage PRSM are derived
using the Lagrange method. The transient and steady-state behaviours of
multi-stage PRSM are simulated, followed by an analysis of the influence of
friction coefficients and thread pitches on the motion and forces acting on
the multi-stage PRSM. Taking a two-stage PRSM as an example, the simulation
results show that the friction coefficient between screw #1 and
screw #2 has a slight effect on efficiency and rotational velocity ratios
of carriers to screws. When the sum of the pitches of screws is a constant,
the axial component of contact force between screw #1 and roller
#1 decreases with the increase in the pitch of screw #1.
Funder
China Scholarship Council National Natural Science Foundation of China
Publisher
Copernicus GmbH
Subject
Industrial and Manufacturing Engineering,Fluid Flow and Transfer Processes,Mechanical Engineering,Mechanics of Materials,Civil and Structural Engineering,Control and Systems Engineering
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