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Stiffness Modeling and Analysis of a 3-DOF Parallel Kinematic Machine

  • Yanqin Zhao
  • Chensheng Wang
  • Wentie Niu
  • Zhaobo Mei
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)

Abstract

To evaluate rigidity of a 3-degree-of-freedom parallel kinematic machine which forms a novel hybrid robot, a stiffness model is established by combining the matrix structure method with the virtual joint method. Compliance of joints and limbs is considered in the presented model by simplifying limbs into spatial limbs and treating joints as virtual springs with equivalent stiffness. Static equilibrium equations of active/passive limbs and the platform are derived respectively, after which the governing static equilibrium equation of the system can be obtained by introducing deformation compatibility conditions. To verify the presented model, finite element analysis is conducted. Based on the presented model, contribution rates of structural parameters to the system’s rigidity are evaluated to provide useful information on optimal design.

Keywords

Parallel kinematic machine stiffness matrix structure method virtual joint method 

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Notes

Acknowledgments

This work was supported by the National Key Research Project under Grant 2017ZX04013001.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yanqin Zhao
    • 1
  • Chensheng Wang
    • 1
  • Wentie Niu
    • 1
  • Zhaobo Mei
    • 2
  1. 1.Key Laboratory of Mechanism Theory and Equipment Design of Ministry of EducationTianjin UniversityTianjinChina
  2. 2.School of PhysicsBUAA, Beihang UniversityBeijingChina

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