| 黄斌,鲁溢.基于L1正则化的随机梁式结构静力损伤识别方法[J].计算力学学报,2020,37(1):69~74 |
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| 基于L1正则化的随机梁式结构静力损伤识别方法 |
| Static damage identification method of random beam structure based on L1 regularization |
| 投稿时间：2018-11-23 修订日期：2018-12-26 |
| DOI：10.7511/jslx20181123002 |
| 中文关键词: 随机梁式结构 损伤识别 测量数据 L1正则化 损伤概率 |
| 英文关键词:random beam structure damage identification measurement data L1 regularization damage probability |
| 基金项目:国家自然科学基金（51578431）资助项目. |
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| 摘要点击次数: 1045 |
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| 中文摘要: |
| 提出了一种结合摄动法和L1正则化方法的随机梁式结构静力损伤识别方法。考虑初始模型误差和测量误差的影响，建立了关于随机损伤指数的控制方程，并将摄动法和L1正则化方法相结合，对随机损伤指数的控制方程进行求解，进而从概率的角度对结构的损伤进行识别。损伤试验结果表明，和传统的最小二乘求解法相比，本文方法能够更为准确地识别多处局部损伤的位置及大小，对实际结构损伤检测具有较好的参考价值。 |
| 英文摘要: |
| This paper proposes a new static damage identification method of random beam structures based on a perturbation technique and L1 regularization method.Considering the impact of model uncertainty and measurement errors on damage identification,the control equations with respect to the random damage index of beam structures are established.Using the perturbation technique and L1 regularization,the solutions of the random control equations are determined.In this manner,the probability of structural damage can be achieved.From the test results,it is observed that the accuracy of the proposed method is higher than the least squares method to identify the locations and magnitudes of multiple local damages.The proposed method can be used in the damage detection of actual structures in the future. |
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