Abstract

This paper introduces a novel 4-UPS-RPS spatial parallel mechanism, which can achieve three rotation degrees and two translation degrees of freedom. A rigid dynamic model is established and analysis of the parallel mechanism is carried out. The kinematics of the RPS and UPS driving limbs are analysed and the velocity-mapping relationships between the driving limbs and the other parts are built. The load conditions of the parts are analysed, and the rigid dynamic model of the 4-UPS-RPS parallel mechanism is derived by the virtual work principle approach. Using the example of the parallel mechanism movement, a driving forces analysis of the 4-UPS-RPS parallel mechanism is carried out, and the correctness of the rigid dynamic model is verified by numerical calculation and virtual simulation.

Highlights

  • The spatial parallel mechanism, as a new-structure mech‐ anism, has been applied in many fields, such as machine building, aerospace, and industrial robotics [1-3]

  • This paper introduces a novel 4-UPS-RPS spatial parallel mechanism, which can achieve three rotation degrees and two translation degrees of freedom

  • The load conditions of the parts are analysed, and the rigid dynamic model of the 4-UPS-RPS parallel mechanism is derived by the virtual work principle approach

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Summary

Introduction

The spatial parallel mechanism, as a new-structure mech‐ anism, has been applied in many fields, such as machine building, aerospace, and industrial robotics [1-3]. The rigid dynamic model and the analysis of the parallel mechanism, which form the theoretical basis of design, motor control, simulation and performance optimization [4-8], must be investigated. The main existing rigid modelling approaches for parallel mechanisms are the virtual work principle method, the Newton-Euler method and the Lagrange method [9-18]. The robot in this paper is a new 5-DOF (degrees of freedoms) parallel mechanism invented by our team. The rigid dynamics equation of the 4UPS-RPS parallel mechanism, which consists of four UPS (universal joints/prismatic pairs/spherical joints) driving limbs, one RPS (revolution joints/prismatic pairs/spherical joints) driving limb, a fixed platform and a moving plat‐ form, is derived by the virtual work principle in this paper. The driving forces of the 4-UPS-RPS parallel mechanism are analysed by numerical calculation and virtual simula‐ tion, respectively

Linear velocities and angular velocities analysis of driving limbs
A VBO n1T
A VBO A ωB
Velocity analysis of barycentre on components of driving limbs
Linear-accelerations and angular-accelerations analysis of driving limbs
Velocity-mapping matrix between each component and driving limb
The force distribution of components on the driving limb RPS
A Ci of coordinate
The force distribution of components on the UPS driving limb
The establishment of dynamic model
Structural parameters of the 4-UPS-RPS spatial parallel mechanism
Dynamic analysis results of the spatial parallel mechanism
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