{"title":"基于坐标测量机触发测头的航空发动机叶片轮廓采样点规划方法","authors":"Le Shi, Jun Luo","doi":"10.1007/s00170-024-13320-5","DOIUrl":null,"url":null,"abstract":"<p>In the digital measuring environment, to solve the problem of sampling point planning on the aero-engine blade profile, two requirements should be satisfied: adapting geometry features and keeping the sampling point spacing. Therefore, this paper proposes an adaptive sampling method, which can flexibly increase or decrease the sampling points according to the curvature. Firstly, according to the geometric characteristics of blade profile, an adaptive sampling method based on the equal moment theory is established. Secondly, a parameterized model based on non-uniform rational B-spline (NURBS) is used to represent the geometry of the blade profile, and the Hausdorff distance is used to evaluate the error of the fitting curve. Finally, two cases verify the effectiveness and accuracy of the proposed method. In the simulation, the relationship between the adaptability and the error of the proposed method is analyzed by taking the Sine function as an example. It is obtained by numerical calculations that the error reached the minimum when the adaptive degree <i>r</i> is 0.75. In the actual blade measurement experiment, compared with other methods, the deviation between the reconstructed blade cross-section curve by the proposed method and the theoretical curve is minimum.</p>","PeriodicalId":50345,"journal":{"name":"International Journal of Advanced Manufacturing Technology","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sampling point planning method for aero-engine blade profile based on CMM trigger probe\",\"authors\":\"Le Shi, Jun Luo\",\"doi\":\"10.1007/s00170-024-13320-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In the digital measuring environment, to solve the problem of sampling point planning on the aero-engine blade profile, two requirements should be satisfied: adapting geometry features and keeping the sampling point spacing. Therefore, this paper proposes an adaptive sampling method, which can flexibly increase or decrease the sampling points according to the curvature. Firstly, according to the geometric characteristics of blade profile, an adaptive sampling method based on the equal moment theory is established. Secondly, a parameterized model based on non-uniform rational B-spline (NURBS) is used to represent the geometry of the blade profile, and the Hausdorff distance is used to evaluate the error of the fitting curve. Finally, two cases verify the effectiveness and accuracy of the proposed method. In the simulation, the relationship between the adaptability and the error of the proposed method is analyzed by taking the Sine function as an example. It is obtained by numerical calculations that the error reached the minimum when the adaptive degree <i>r</i> is 0.75. In the actual blade measurement experiment, compared with other methods, the deviation between the reconstructed blade cross-section curve by the proposed method and the theoretical curve is minimum.</p>\",\"PeriodicalId\":50345,\"journal\":{\"name\":\"International Journal of Advanced Manufacturing Technology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-03-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Advanced Manufacturing Technology\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s00170-024-13320-5\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Advanced Manufacturing Technology","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s00170-024-13320-5","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
摘要
在数字化测量环境下,要解决航空发动机叶片轮廓上的采样点规划问题,需要满足两个要求:适应几何特征和保持采样点间距。因此,本文提出了一种自适应采样方法,可根据曲率灵活增减采样点。首先,根据叶片轮廓的几何特征,建立了基于等矩理论的自适应采样方法。其次,使用基于非均匀有理 B 样条(NURBS)的参数化模型来表示叶片轮廓的几何形状,并使用 Hausdorff 距离来评估拟合曲线的误差。最后,两个案例验证了所提方法的有效性和准确性。在仿真中,以正弦函数为例分析了所提方法的适应性与误差之间的关系。通过数值计算得出,当自适应度 r 为 0.75 时,误差达到最小。在实际叶片测量实验中,与其他方法相比,建议方法重建的叶片横截面曲线与理论曲线的偏差最小。
Sampling point planning method for aero-engine blade profile based on CMM trigger probe
In the digital measuring environment, to solve the problem of sampling point planning on the aero-engine blade profile, two requirements should be satisfied: adapting geometry features and keeping the sampling point spacing. Therefore, this paper proposes an adaptive sampling method, which can flexibly increase or decrease the sampling points according to the curvature. Firstly, according to the geometric characteristics of blade profile, an adaptive sampling method based on the equal moment theory is established. Secondly, a parameterized model based on non-uniform rational B-spline (NURBS) is used to represent the geometry of the blade profile, and the Hausdorff distance is used to evaluate the error of the fitting curve. Finally, two cases verify the effectiveness and accuracy of the proposed method. In the simulation, the relationship between the adaptability and the error of the proposed method is analyzed by taking the Sine function as an example. It is obtained by numerical calculations that the error reached the minimum when the adaptive degree r is 0.75. In the actual blade measurement experiment, compared with other methods, the deviation between the reconstructed blade cross-section curve by the proposed method and the theoretical curve is minimum.
期刊介绍:
The International Journal of Advanced Manufacturing Technology bridges the gap between pure research journals and the more practical publications on advanced manufacturing and systems. It therefore provides an outstanding forum for papers covering applications-based research topics relevant to manufacturing processes, machines and process integration.