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Application of Optimization Methods to Crack Profile Inversion Using Eddy Currents

机译:优化方法在涡流裂纹轮廓反演中的应用

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摘要

A numerical scheme for finding crack shapes from eddy current measurements has been developed based on a startdard iterative inversion approach in which a nonlinear least squares objective function quantifying the overall difference between predictions and measurements is minimized. In this paper, steepest descent and conjugate‐gradient methods for minimizing the objective function are investigated and compared. Cramér‐Rao lower bounds on the crack parameters are derived to quantify the accuracy of the estimated crack shape. Cramér‐Rao bounds are also used to indicate improvements in the design of eddy‐current nondestructive evaluation systems.
机译:基于startdard迭代反演方法,开发了一种用于从涡流测量中找到裂纹形状的数值方案,其中,最小化量化预测和测量之间总体差异的非线性最小二乘目标函数。在本文中,研究和比较了使目标函数最小化的最速下降法和共轭梯度法。得出裂纹参数的Cramér-Rao下界以量化估计的裂纹形状的准确性。 Cramér-Rao边界还用于指示涡流无损评估系统设计的改进。

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