Comparison of Methods for Developing the Dynamics of Rigid- Body Systems

M. S. ju, J. M. Mansour

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

Several approaches for developing the equations of motion for a three-degree-of-freedom PUMA robot were compared on the basis of computational efficiency (i.e., the number of additions, subtractions, multiplications, and divisions). Of particular interest was the investigation of the use of com puter algebra as a tool for developing the equations of motion. Three approaches were implemented algebraically: La grange's method, Kane's method, and Wittenburg's method. Each formulation was developed in absolute and relative coordinates. These six cases were compared to each other and to a recursive numerical formulation. The results showed that all of the formulations implemented algebraically re quired fewer calculations than the recursive numerical algo rithm. The algebraic formulations required fewer calculations in absolute coordinates than in relative coordinates. Each of the algebraic formulations could be simplified, using patterns from Kane's method, to yield the same number of calcula tions in a given coordinate system.

原文English
頁(從 - 到)19-27
頁數9
期刊The International Journal of Robotics Research
8
發行號6
DOIs
出版狀態Published - 1989 十二月

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Mechanical Engineering
  • Artificial Intelligence
  • Electrical and Electronic Engineering
  • Applied Mathematics

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