基于椭圆拓扑变换的叶片二维叶型参数化方法

doi:10.3901/JME.2023.07.081

机械工程学报 ›› 2023, Vol. 59 ›› Issue (7): 81-91.doi: 10.3901/JME.2023.07.081

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基于椭圆拓扑变换的叶片二维叶型参数化方法

佀传瑞¹, 成金鑫², 陈志同¹, 张云³, 朱正清¹, 陈明升⁴

1. 北京航空航天大学机械工程及自动化学院北京 100191;
2. 北京科技大学机械工程学院北京 100083;
3. 北方工业大学机械与材料工程学院北京 100144;
4. 北京航空航天大学能源与动力工程学院北京 100191

收稿日期:2022-04-11 修回日期:2022-08-09 出版日期:2023-04-05 发布日期:2023-06-16
通讯作者: 陈志同(通信作者),男,1967年出生,博士,教授,博士研究生导师。主要研究方向为复杂曲面数控加工CAD/CAM技术、先进数控加工技术与装备。E-mail:ztchen@buaa.edu.cn
作者简介:佀传瑞,女,1990年出生,博士研究生。主要研究方向为复杂曲面CAD/CAM。E-mail:sichuanrui@buaa.edu.cn;朱正清,男,1991年出生,博士后。主要研究方向为航空发动机叶轮叶片再制造技术、复杂曲面数控加工技术和CAD/CAM技术。E-mail:B21043@buaa.edu.cn

A Parametrization Method of Blade Section Based on Topological Transformation of Ellipse

SI Chuanrui¹, CHENG Jinxin², CHEN Zhitong¹, ZHANG Yun³, ZHU Zhengqing¹, CHEN Mingsheng⁴

1. School of Mechanical Engineering and Automation, Beihang University, Beijing 100191;
2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083;
3. School of Mechanical and Materials Engineering, North China University of Technology, Beijing 100144;
4. School of Energy and Power Engineering, Beihang University, Beijing 100191

Received:2022-04-11 Revised:2022-08-09 Online:2023-04-05 Published:2023-06-16

摘要/Abstract

摘要： 叶型参数化方法服务于叶片设计、制造和再制造全生命周期。针对目前叶型参数化方法难以兼顾造型参数几何含义直观和叶型曲率及曲率导数的连续性问题，提出了一种基于椭圆拓扑变换的二维叶型参数化方法。该方法基于椭圆与叶型曲率分布特征与拓扑结构的一致性，通过构造多个拓扑变换使椭圆变形成二维叶型。在变形过程中，建立了叶型主要几何特征参数与造型参数的一一对应关系且自然地保持了椭圆的高阶连续性。为验证该方法的有效性，对不同几何特征的叶型进行了反演验证。结果表明，与现有方法相比，该方法可用更少的造型参数实现更高的拟合精度；反演叶型曲率及曲率的导数均连续变化；反演叶型和原始叶型气动性能保持很好的一致性；改变单个造型参数可直观地改变叶型几何特征。因此，该参数化方法更易设计出低损失高负荷的叶型，传递的设计意图也更易被制造和再制造环节理解使用，有利于保障叶片的最终服役性能。

关键词: 参数化方法, 椭圆拓扑变换, 叶片二维叶型, 叶片全生命周期

Abstract: The parametrization method of the blade section serves the whole life cycle of the blade, including design, manufacturing and remanufacturing. However, it is difficult for the current parametric methods to take into account the intuitive geometric meaning of modeling parameters and the continuities of the curvature and the slope of curvature. To solve the problem, a parameterization method based on the ellipse topology transformation is proposed. The method is based on the consistency of the curvature distribution and that of the topological structure between the ellipse and the blade section and the ellipse is transformed into the blade section by applying several designed topological transformations. Meanwhile, one-to-one correspondences between the blade key geometry parameters and the modeling parameters are established and the high-order continuity of the ellipse is maintained. To verify the effectiveness of the proposed method, the inversions of several blade sections with different geometrical characteristics are carried out respectively. The results show that compared with the existing method, the proposed method achieves higher fitting accuracy with fewer modeling parameters; the curvature and the curvature derivative of the inversion sections are both continuous; the aerodynamic performance of the inversion sections is consistent well with that of the original ones; modifying a single modeling parameter can intuitively change the corresponding blade geometry. Therefore, the proposed method facilitates the design of lower-loss higher-loading blade sections and the transmitted design intentions are easier to be understood and used in the manufacturing and remanufacturing process, which are both conducive to guarantee the final service performance of the blade.

Key words: parametrization method, topological transformation of ellipse, blade section, whole life cycle of blade

中图分类号:

V231

佀传瑞, 成金鑫, 陈志同, 张云, 朱正清, 陈明升. 基于椭圆拓扑变换的叶片二维叶型参数化方法[J]. 机械工程学报, 2023, 59(7): 81-91.

SI Chuanrui, CHENG Jinxin, CHEN Zhitong, ZHANG Yun, ZHU Zhengqing, CHEN Mingsheng. A Parametrization Method of Blade Section Based on Topological Transformation of Ellipse[J]. Journal of Mechanical Engineering, 2023, 59(7): 81-91.

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基于椭圆拓扑变换的叶片二维叶型参数化方法

A Parametrization Method of Blade Section Based on Topological Transformation of Ellipse

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