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Volume 40 Issue 10
Oct.  2014
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Journal of Beijing University of Aeronautics and Astronautics  > 2014  >  40(10): 1477-1480.
Wang Bingjie, Zhao Junpeng, Wang Chunjieet al. Spatial straightness error evaluation based on three-dimensional least squares method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(10): 1477-1480. doi: 10.13700/j.bh.1001-5965.2013.0644(in Chinese)
Citation: Wang Bingjie, Zhao Junpeng, Wang Chunjieet al. Spatial straightness error evaluation based on three-dimensional least squares method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(10): 1477-1480. doi: 10.13700/j.bh.1001-5965.2013.0644(in Chinese)
shu

Spatial straightness error evaluation based on three-dimensional least squares method

doi: 10.13700/j.bh.1001-5965.2013.0644
  • 1.

    School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • 2. State Key Laboratory of Virtual Reality Technology and Systems, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 14 Nov 2013
  • Publish Date: 20 Oct 2014
    Abstract
  • Spatial straightness error is very important for the assessment of mechanical product precision. The spatial straightness error evaluation algorithm with high precision is needed in real project. In order to evaluate the spatial straightness error more accurately, a mathematical model of spatial straight line fitting was established based on the national standard (GB/T 11336—2004) and three-dimensional least squares method, the exact solution to the model was deduced. The diameter of the minimum cylindrical surface of the least squares was obtained by using the method of spatial projection, coordinate transformation and lattice method. The proposed method was validated by numerical experiments. It is not only more accurate and robust, but also easy to be implemented.

     

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