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基于凸包算法的陶芯弯曲度与扭曲度误差计算
引用本文:张现东,卜昆,董一巍,李效基.基于凸包算法的陶芯弯曲度与扭曲度误差计算[J].航空动力学报,2018,33(1):54-61.
作者姓名:张现东  卜昆  董一巍  李效基
作者单位:1.西北工业大学 现代设计与集成制造技术教育部重点实验室,西安 710072
基金项目:国家自然科学基金(51371152);广东省自然科学基金(2014A030310004);福建省高校产学重大项目(2015H6023)
摘    要:陶芯弯扭变形直接关系到空心叶片的壁厚尺寸分布,为克服当前陶芯弯扭变形的计算中测量数据与理论模型三维配准、陶芯截面轮廓线提取或拟合的过程算法复杂、收敛速度慢、效率低等问题,提出了一种通过测量数据点直接计算陶芯弯曲度和扭曲度误差的算法,该算法不需要三维配准和提取陶芯外轮廓线,通过距离权值法计算陶芯弯曲度,凸包算法计算陶芯扭曲度,能大幅提高计算效率。仿真与实验结果表明:该算法弯曲变形计算精度为99.55%,与二维配准算法相差±0.01mm;扭曲变形计算精度为99.98%,与二维配准相差±0.006°。 

关 键 词:陶芯    弯曲度误差    扭转度误差    凸包算法    距离权值法
收稿时间:2017/2/15 0:00:00

A methodology for computing bending and torsion deformation ofceramic cores based on convex hull algorithm
Abstract:Bending and torsion deformation of ceramic core have a direct impact on the wall thickness accuracy of hollow turbine blade. To overcome the difficulties for determining deformation by extracting or fitting contour lines based on 3 D registration of measured point sets and CAD model such as the slow convergence and low efficiency, the bending and torsion degree of ceramic core was proposed and a new algorithm for ceramic core bending degree and torsion degree was studied through the geometric characteristics of ceramic core measurement data based on convex hull algorithm and distance weighted method. Through corresponding verification experiments the accuracy of proposed method was proved. The results indicated that the accuracy of the calculated torsional and bending deformation was 99.55% and 99.98%, respectively; compared with the two dimensional registration method, the deviation of the torsional and bending deformation was only ±0.01mm and ±0.006°, respectively.
Keywords:ceramic core  bending deformation  torsion deformation  convex hull algorithm  distance weight method
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