Blade trailing edge contour based on probability density least-square fitting

BAO Hong; ZENG Haitao; BAI Yulei; HU Zhong; XIANG Zhicong; ZHOU Yanzhou; SHEN Zuochun

doi:10.7510/jgjs.issn.1001-3806.2016.04.021

LASER TECHNOLOGY > 2016 > 40(4): 555-559. > DOI: 10.7510/jgjs.issn.1001-3806.2016.04.021

BAO Hong, ZENG Haitao, BAI Yulei, HU Zhong, XIANG Zhicong, ZHOU Yanzhou, SHEN Zuochun. Blade trailing edge contour based on probability density least-square fitting[J]. LASER TECHNOLOGY, 2016, 40(4): 555-559. DOI: 10.7510/jgjs.issn.1001-3806.2016.04.021

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Blade trailing edge contour based on probability density least-square fitting

1.
Department of Automation, Guangdong University of Technology, Guangzhou 510006, China;
2.
Opto-electric Institute in School of Astronautics, School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

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Received Date: May 07, 2015
Revised Date: July 09, 2015
Published Date: July 24, 2016

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Abstract

In order to solve the problems for measurement and modeling of gas turbine blade trailing edge contour, a least-square circle fitting method based on probability density was proposed. After several times of fitting data repeatedly, each fitting center coordinate and radius was obtained. The maximum value of probability density distribution was looked as the optimal value. The errors of fitting data were analyzed by data simulation after theoretical analysis and experimental verification. The feasibility and robustness of the method were verified. The results show that the fitting of blade trailing edge contour and the estimation of parameter data are realized. The fitting error is 0.01mm. The optimal center coordinates and radius of circle fitting is obtained. For the blade trailing edge composed of straight line segments and short arcs, the fitting result is effective and accurate in the case of unknowing the point of tangent and arc equation. The method has an important guiding significance to precision measurement, machining accuracy and parameter design of blade trailing edge contour.
- measurement and metrology,
- probability density,
- least-square method,
- blade trailing edge,
- circle fitting,
- parameter estimation

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