用于发动机边缘损伤型叶片修复的曲面重构方法
郭春，李中元，农王亮，陶冶*
（四川大学 机械工程学院，四川 成都 610065）
摘要：发动机损伤叶片的表面重构是发动机叶片修复的一个关键问题。在多种损伤类型叶片的曲面重构中，边缘损伤型叶片的表面重构具有较大困难，因此类叶片表面在边缘处过渡复杂，而且损伤后的叶片发生了变形。本文针对上述问题提出一种面向边缘损伤型叶片表面的曲面重构方法。首先，重构非损伤截面轮廓的表面轮廓和边缘轮廓，边缘轮廓采用贝塞尔曲线进行重构；然后，通过预测边缘损伤区域贝塞尔曲线的控制点重构损伤区域边缘轮廓,通过将表面轮廓曲线与贝塞尔曲线进行搭接得到损伤区域完整截面曲线；最后，通过放样各个截面曲线获得重构的叶片表面。本文对所提重构方法进行验证并进行误差分析，结果表明了所提方法的有效性。
关键词：曲面重构；边缘损伤型叶片；三次贝塞尔曲线；最小二乘法
中图分类号：TH11 文献标志码：A doi：10.3969/j.issn.1006-0316.2023.06.001
文章编号：1006-0316 (2023) 06-0001-08
Surface Reconstruction Method for Engine Edge Damaged BladeRepaire
GUO Chun，LI Zhongyuan，NONG Wangliang，TAO Ye
( School of Mechanical Engineering, Sichuan University, Chengdu 610065, China )
Abstract：Surface reconstruction of damaged engine blades is a key issue in engine blade repair. In the surface reconstruction of blades of multiple damage types, the surface reconstruction of edge damage leaves is difficult, so the surface transition of the blade-like blade is complex at the edge, and the blade is deformed after injury. In view of the above problems, this paper proposes a surface reconstruction method for edge damage blade surface. Firstly, the surface profile and edge profile of the non-damage section profile are reconstructed, and the edge profile is reconstructed by Bezier curve. Then, the edge contour of the damage area is reconstructed by predicting the control point of the Bezier curve of the edge damage area, and the complete cross-sectional curve of the damage area is obtained by lapping the surface contour curve with the Bezier curve. Finally, the reconstructed blade surface is obtained by lofting the individual cross-sectional curves. In this paper, the proposed reconstruction method is verified and the error analysis is carried out, and the results show the effectiveness of the proposed method.
Key words：surface reconstruction；edge damage blade；cubic Bezier curve；least square method
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收稿日期：2023-01-04
基金项目：四川省科技计划重点研发项目（2021YFG0193）；四川大学－达州市人民政府校市战略合作专项项目（2020CDDZ-05）
作者简介：郭春（1997－），男，贵州毕节人，硕士研究生，主要研究方向为数控技术及装备，E-mail：1175113680@qq.com。*通讯作者：陶冶（1984－），男，辽宁抚顺人，博士，副教授，主要研究方向为复杂机电系统精密测量与控制、创新设计理论与方法等，E-mail：yetao@scu.edu.cn。
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