BP algorithm based on LAC and its application in structural damage detection

Xiong Xianwei, Wei Zhuo-bin, Liu Guanglei
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Abstract

An improved BP algorithm is proposed adopting the LAC (least absolute criteria). Based on the research of BP algorithm and its limits, the improved BP algorithm adopts the LAC by using the iteratively reweighted least squares method. The algorithm is analyzed, employed and validated in a structural damage detection of a wing component. Comparing with the ordinary algorithm based on the ordinary least-squares criterion, the improved BP algorithm has a better performance when there are violations of the assumption of normality of residuals, and it is robust to the outliers. The results of the simulation demonstrate the effectiveness of the improved BP algorithm for damage detection.
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基于LAC的BP算法及其在结构损伤检测中的应用
采用最小绝对准则,提出了一种改进的BP算法。在研究BP算法及其局限性的基础上,改进的BP算法采用迭代加权最小二乘法的LAC。对该算法进行了分析、应用,并在某型机翼部件结构损伤检测中进行了验证。与基于普通最小二乘准则的普通算法相比,改进BP算法在残差存在违反正态性假设的情况下具有更好的性能,并且对异常值具有较强的鲁棒性。仿真结果验证了改进BP算法在损伤检测中的有效性。
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