## 留言板

 引用本文: 尹涛, 林向晖, 朱宏平. 基于模型缩聚的结构损伤统计识别[J]. 应用数学和力学, 2009, 30(7): 821-832.
YIN Tao, LAM Heung-fai, ZHU Hong-ping. Statistical Damage Detection of Structures Based on Model Reduction[J]. Applied Mathematics and Mechanics, 2009, 30(7): 821-832. doi: 10.3879/j.issn.1000-0887.2009.07.007
 Citation: YIN Tao, LAM Heung-fai, ZHU Hong-ping. Statistical Damage Detection of Structures Based on Model Reduction[J]. Applied Mathematics and Mechanics, 2009, 30(7): 821-832.

• 中图分类号: O327

## Statistical Damage Detection of Structures Based on Model Reduction

• 摘要: 提出了一种基于有限元模型缩聚技术的结构损伤统计识别方法，该方法仅需要少量传感器的测量数据．首先基于模型缩聚技术建立确定性的损伤识别过程，然后利用摄动法将概率过程融入确定性的损伤识别中，从而得到了一种基于概率统计的结构损伤识别方法．该方法通过计算未知参数（如损伤构件的弹性特征）对于测量噪声的一阶与二阶偏导数，来得到这些未知参数的均值与协方差矩阵．文中不仅阐述了该方法的理论推导过程，而且通过一个门式框架的数值仿真研究，并结合Monte Carlo数值模拟技术验证了该文方法的正确性．
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##### 出版历程
• 收稿日期:  2008-03-24
• 修回日期:  2009-05-16
• 刊出日期:  2009-07-15

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