摘要
针对管道漏磁内检测缺陷信号的重构问题,研究了曲线拟合和最小二乘法的基本原理,以管道漏磁内检测有限元仿真分析软件所得到的半椭圆型缺陷数据为研究对象,建立了径向磁通密度特征的二元一次方程组和二元二次方程组,运用最小二乘曲线拟合方法实现对仿真数据的二元一次函数拟合和二元二次函数拟合.应用MATLAB编写程序求出拟合系数,得到拟合方程,拟合计算结果与仿真数据基本吻合.通过对两组函数方程进行误差分析,结果表明二元二次拟合函数能更准确地描绘出缺陷大小与检测数据之间的函数关系,二次拟合模型更可靠,为管道漏磁内检测缺陷信号重构提供了函数支持.
In order to solve the reconstruction problem of defect signal in magnetic flux leakage inner detection for pipeline,the basic principles of curve fitting and least square method were researched.The semi-elliptical defect data of magnetic flux leakage inner detection for pipeline obtained by finite element simulation analysis software were taken as research object,and the binary linear and quadric equations with radial magnetic flux density characteristics were established.The fitting of both binary linear and quadric functions for simulated data was realized with the least square curve fitting method.The fitting coefficient was solved with MATLAB compiling program,and the fitting equation was obtained.The fitting calculated results are basically consistent with the simulated data.Through the error analysis on two sets of functional equations,it is indicated that the binary quadratic fitting function can describe the functional relation between the defect size and detection data more accurately.The quadratic fitting model is more reliable.The present research provides a functional support for the reconstruction of defect signal in magnetic flux leakage inner detection for pipeline.
出处
《沈阳工业大学学报》
EI
CAS
北大核心
2012年第6期671-676,共6页
Journal of Shenyang University of Technology
基金
国家自然科学基金仪表专项基金资助项目(60927004)
国家自然科学基金资助项目(61141004)
十二五国家科技部支撑计划项目(2011BAK06B01-03)
关键词
曲线拟合
最小二乘法
管道漏磁内检测
有限元仿真
实体模型
磁通密度
拟合模型
缺陷重构
curve fitting
least square method
magnetic flux leakage inner detection for pipeline
finite element simulation
physical model
magnetic flux density
fitting model
defect reconstruction
