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基于表面测温的缺陷或缺陷边界的定量识别算法是目前红外无损检测从定性向定量发展的关键理论基础。针对目前方法识别不规则缺陷边界精度相对较低的问题,通过关联ANSYS软件和MATLAB软件,利用有限元方法和共轭梯度法对二维管道内壁边界形状的稳态识别进行了研究。针对不同内壁边界形状以及试件形状的识别问题,系统地讨论了边界形状初始假设、检测表面温度测量误差及测温点数目、所识别边界的离散点数目以及试件的导热系数等一系列因素对识别结果的影响。数值实验证明了该方法的有效性及精确性。该方法可以在较短的计算时间内得到非常精确的稳态识别结果,大大提高了管道内壁边界形状识别的效率。
Quantitative identification algorithm based on surface temperature measurement of defects or defects boundaries is the key theoretical basis for the development of qualitative and quantitative infrared non-destructive testing. Aiming at the problem that the method has relatively low border precision for identifying irregular defects, the steady state identification of the boundary shape of the two-dimensional pipe inner wall is studied by correlating ANSYS software and MATLAB software by using the finite element method and the conjugate gradient method. In order to identify the boundary shape of the inner wall and the shape of the specimen, a series of factors including the initial hypothesis of the boundary shape, the measurement error of the surface temperature, the number of the temperature measurement points, the number of discrete points on the boundary of the boundary and the thermal conductivity of the specimen are systematically discussed Impact on recognition results. Numerical experiments show the effectiveness and accuracy of the method. The method can obtain very accurate steady-state recognition results in a short computation time and greatly improve the efficiency of identifying the boundary shape of the inner wall of the pipeline.