激光技术2016，Vol.40Issue(4)：555-559,5.DOI:10.7510/jgjs.issn.1001-3806.2016.04.021
基于概率密度最小二乘拟合的叶片后缘轮廓
Blade trailing edge contour based on probability density least-square fitting
摘要
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.关键词
测量与计量/概率密度/最小二乘法/叶片后缘/圆拟合/参量估计Key words
measurement and metrology/probability density/least-square method/blade trailing edge/circle fitting/parameter estimation分类
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鲍鸿,曾海涛,白玉磊,胡忠,向志聪,周延周,申作春..基于概率密度最小二乘拟合的叶片后缘轮廓[J].激光技术,2016,40(4):555-559,5.基金项目
广东省自然科学基金资助项目(2014A030313519) （2014A030313519）
广州市科技计划资助项目(2014J4100203) （2014J4100203）
