带公差约束的数字样板叶型检测方法
收稿日期: 2012-11-29
修回日期: 2013-01-08
网络出版日期: 2013-01-15
基金资助
国家"973"计划(2013CB035802);高等学校博士学科点专项科研基金(20106102120023);中国博士后科学基金(2012M512028)
Inspection Method of Blade Shape Based on Digitized Template with Design Tolerance Constraints
Received date: 2012-11-29
Revised date: 2013-01-08
Online published: 2013-01-15
Supported by
National Basic Research Program of China (2013CB035802);Research Fund for the Doctoral Program of Higher Education of China (20106102120023);China Postdoctoral Science Foundation (2012M512028)
针对航空发动机叶片三坐标测量机(CMM)测量过程中误差检测与评定的问题,提出了一种带公差约束的数字样板叶型检测方法,以实现叶型误差的快速准确评定。在实物样板检测原理的基础上,分析叶型偏移、扭转与轮廓度之间的耦合关系,建立公差约束条件。根据CAD设计模型构造数字样板,建立带公差约束的样板匹配数学模型,并利用拟牛顿法进行非线性优化求解,在设计公差的约束条件下实现叶片测量点与数字样板的精确匹配。最后通过对某叶片型面测量数据进行仿真分析和实例验证,表明该方法比最小二乘(LSQ)方法的误差评定结果更为精确可靠,且与实物样板检测结果一致。
胡述龙 , 张定华 , 张莹 , 吴宝海 . 带公差约束的数字样板叶型检测方法[J]. 航空学报, 2013 , 34(10) : 2411 -2418 . DOI: 10.7527/S1000-6893.2013.0053
To deal with the error evaluation and inspection of aero-engine blade airfoils using coordinate measuring machine (CMM), a new inspection method of digitized template considering design tolerances is proposed for cross-sectional error evaluation with high precision and rapid speed. Based on the principle of certified reference template inspection, the complicated relationship among three kinds of tolerances is discussed and the constraints are established. In addition, a digitized template is constructed according to the CAD design model, and then a mathematical matching model with tolerance constraints is built to accomplish precise matching between the measurement points and digitized template. In order to obtain the solution of the model, an algorithm of quasi-Newton method is applied for precise matching. Simulation test and practical example prove that the proposed method is more precise and reliable than the least squares (LSQ) method and the result coincides with that from the certified reference template inspection well.
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