Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Analysis of Jacobian and Singularity of Planar Parallel Robots Using Screw Theory

스크류 이론을 이용한 평면형 병렬로봇의 자코비안 및 특이점 해석

  • Received : 2012.06.07
  • Accepted : 2012.08.23
  • Published : 2012.11.01
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Abstract

The Jacobian and singularity analysis of parallel robots is necessary to analyze robot motion. The derivations of the Jacobian matrix and singularity configuration are complicated and have no geometrical earning in the velocity form of the Jacobian matrix. In this study, the screw theory is used to derive the Jacobian of parallel robots. The statics form of the Jacobian has a geometrical meaning. In addition, singularity analysis can be performed by using the geometrical values. Furthermore, this study shows that the screw theory is applicable to redundantly actuated robots as well as non-redundant robots.

병렬로봇의 구동을 계산하기 위해서 자코비안과 특이점 해석이 필요하다. 기존의 자코비안을 구하는 미분의 방식은 그 계산과정이 복잡하고 기하학적인 의미도 찾기 어렵다. 본 논문에서는 스크류 이론을 사용하여 병렬로봇의 자코비안을 쉽게 구하고 그것의 기하학적인 의미도 구하였다. 뿐만 아니라 특이점도 간단한 형태로 식을 구성할 수 있으며 기하학적인 의미도 가진다. 또한, 스크류 이론의 적용이 5 링크와 같이 간단한 형태의 비 여유구동 로봇뿐만 아니라 다양한 형태의 평면형 여유구동 병렬로봇에도 적용 가능하다는 것을 본 논문에서 제시하였다.

Keywords

References

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