Journal of Mechanical Science and Technology

, Volume 33, Issue 1, pp 333–340 | Cite as

Kinematic response of industrial robot with uncertain-but-bounded parameters using interval analysis method

  • Jinhui Wu
  • Xu HanEmail author
  • Yourui Tao


The uncertain parameters of the deviation in link dimensions and joint clearances caused by manufacturing and assembling errors have a strong impact on the degree of accuracy of the industrial robot. Understanding how these uncertain parameters influence the kinematic response of the industrial robot is critical for design. In this paper, the interval method is used for analysing the kinematic response of the industrial robot with uncertain-but-bounded parameters. The interval used for describing the uncertain parameters is estimated by the grayscale theory. The Denavit-Hartenberg (D-H) method is used for establishing the kinematic model of a 6-degree-of-freedom industrial robot. The kinematic response of the industrial robot calculated by the interval method with uncertain parameters is compared with the results obtained by the probabilistic approach. The comparison results show that the upper or lower bound obtained by interval method is far away from the ideal kinematic response than that obtained by the probabilistic approach. That is a true portrayal of the essence of interval method and probabilistic approach. The research contributes to choose the tolerance zone of uncertain parameters, such as the link dimensions and joint clearances, during the design process of industrial robots.


Uncertain parameters Interval method Industrial robot Probabilistic approach 


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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Reliability and Intelligence of Electrical EquipmentHeBei University of TechnologyTianjinChina
  2. 2.School of Mechanical EngineeringHeBei University of TechnologyTianjinChina

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