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Absolute error selection criteria of unconstrained mode for flexible manipulator dynamics model dimension reduction

  • Naiming Qi*
  • , Baoshan Zhao
  • , Zhigang Zhao
  • , Liping Wang
  • *Corresponding author for this work
  • School of Astronautics, Harbin Institute of Technology
  • Institute of Tianjin Astronautics Electromechanical Device

Research output: Contribution to journalArticlepeer-review

Abstract

The unconstrained mode dynamics dimension reduction methods only consider the structural parameters without analyzing the impact of the control force. Due to any control force can be equivalent to the superposition of an infinite number of sinusoidal force by Fourier analysis method, an unconstrained mode selection criteria under sinusoidal force based on the absolute error was presented. The elastic deformation of flexible manipulator was modeled by using the finite element (FE) method. The dynamics model of flexible manipulator was deduced by using the Lagrange approach. The solution of unconstrained mode was used for dimension reduction of the dynamics equations. The dimension reduction of the dynamics equations and the original dynamics equations were compared. Numerical simulations demonstrate the correctness of the proposed approach.

Original languageEnglish
Pages (from-to)22-28
Number of pages7
JournalChinese Space Science and Technology
Volume32
Issue number2
DOIs
StatePublished - Apr 2012
Externally publishedYes

Keywords

  • Absolute error
  • Dynamics dimension reduction
  • Finite element method
  • Flexible manipulator
  • Unconstrained mode

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