结合分割逼近和粒子群法的燃气轮机叶片轮廓度误差计算

王建录 1; 刘学云 2; 廖平 3; 赵万华 1

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结合分割逼近和粒子群法的燃气轮机叶片轮廓度误差计算

更新时间：2025-07-09

- 结合分割逼近和粒子群法的燃气轮机叶片轮廓度误差计算
- Profile Error Calculation for Gas Turbine Blade Based on Subdivision Approach Algorithm and Particle Swarm Optimization
- 西安交通大学学报 2010年44卷第7期页码：42-45+74
- 作者机构：
  
  西安交通大学机械学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2009-11-09. 作者简介: 王建录(1961-),男,研究员. 基金项目: 国家重点基础研究发展规划资助项目(2007CB707703);国家自然科学基金资助项目(50675229)
- DOI：
  中图分类号： TB921
- 网络首发：2010-07-10，
  
  纸质出版：2010
- 稿件说明：
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王建录 1, 刘学云 2, 廖平 3, 等. 结合分割逼近和粒子群法的燃气轮机叶片轮廓度误差计算[J]. 西安交通大学学报, 2010,44(7):42-45+74.

Profile Error Calculation for Gas Turbine Blade Based on Subdivision Approach Algorithm and Particle Swarm Optimization[J]. 2010, 44(7): 42-45+74.
王建录 1, 刘学云 2, 廖平 3, 等. 结合分割逼近和粒子群法的燃气轮机叶片轮廓度误差计算[J]. 西安交通大学学报, 2010,44(7):42-45+74. DOI：

Profile Error Calculation for Gas Turbine Blade Based on Subdivision Approach Algorithm and Particle Swarm Optimization[J]. 2010, 44(7): 42-45+74. DOI：

摘要

阐述了燃气轮机叶片复杂曲面轮廓度误差计算的关键问题

采用非均匀有理B样条曲面描述了燃气轮机叶片

定义了燃气轮机叶片复杂曲面轮廓度误差并建立了相应的数学模型.采用分割逼近法计算测点到曲面的最小距离

以提高数据处理速度; 结合粒子群和分割逼近法

通过六维坐标变换迭代

使叶片的理论模型计算与实际轮廓测试达到最佳匹配

最终获得燃气轮机叶片轮廓度误差.结合分割逼近和粒子群法来计算燃气轮机叶片轮廓度误差

理论上可以收敛于全局最优解

符合最小区域法的评定标准.该算法易于计算机实现

非常适用于三坐标测量仪.

Abstract

The key problem of calculating profile error for a gas turbine blade is discussed

and the non-uniform rational B-splines(NURBS)surface theory is adopted to describe the gas turbine blade. The profile error of the gas turbine blade is defined

and its mathematic model is established. The subdivision approach algorithm is used to calculate the minimum distance between the point and the surface so that the speed of data processing can be enhanced. The combination of the subdivision approach algorithm and the particle swarm optimization is employed to realize the optimum fitting between measurement points and the complex surface and then obtain the profile error of the blade with global optimization. This data processing method is in accordance with the least condition principle

and it can be applied to three-coordinate measuring machines.

关键词

Keywords

references

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KENNEDY J, EBERHART R C. Particle swarm optimization[C]∥Proceedings of IEEE International Conference on Neural Networks. Piscataway, NJ, USA: IEEE, 1995:1942-1948.

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