中文摘要：

微损伤的定量检测与评估在航空航天等领域中具有重要意义。准确测量电导率可以实现金属材料表面微损伤的定量评估。本文在介绍平面电磁传感器和测量网格的基础上,提出了一种用于微损伤定量评估的多变量非线性插值算法。该算法首先计算出网格中心点非线性误差的修正参数,再根据网格单元中不同位置处非线性误差的分布规律,计算出各网格单元任意位置处的误差修正参数,实现对整个网格插值误差的非线性补偿。仿真结果证明,该算法对电导率插值误差补偿效果显著,可以有效提高微损伤定量评估的精度。

英文摘要：

Study on quantitative evaluation of micro damage has a great value on aircraft. The change of conductivity can be measured accurately to achieve quantitative assessment of micro damage on metal surface. After the introduction of planar electromagnetic sensor and measurement grid, this paper presents a nonlinear multivariate in- terpolation algorithm for quantitative evaluation. Firstly, the correcting parameter of the grid center is calculated, and t then the nonlinear error of the whole grid can be compensated according to the error distribution. Simulation results indicate that the algorithm could quantitative evaluation accuracy of reduce the interpolation error of conductivity significantly and improve the micro damage