| 基于统计模型的结构损伤识别 |
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| 引用本文： | 黄斌,史文海. 基于统计模型的结构损伤识别[J]. 工程力学, 2006, 23(12): 47-52,18 |
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| 作者姓名： | 黄斌 史文海 |
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| 作者单位： | 武汉理工大学土木工程与建筑学院,湖北,武汉,430070;温州大学建工学院,浙江,温州,325000 |
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| 基金项目： | 国家自然科学基金;武汉市建委攻关项 |
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| 摘 要： | 提出了一种基于递推随机有限元方法(RSFEM)的随机结构损伤识别方法。在定义了随机损伤指数概念的基础上,考虑模型误差的不确定性和测量噪声的影响,建立了关于随机损伤指数的控制方程。然后,利用RSFEM得到了结构随机损伤指数的统计特性。数值算例的结果显示,新的方法能在考虑模型误差和测量噪声的情况下对结构损伤进行有效识别,且在结构随机参数有较大涨落情况下,该方法仍能有效识别出结构损伤,识别结果与蒙特卡洛模拟解非常吻合。
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| 关 键 词： | 随机结构 损伤识别 统计模型 递推随机有限元 非正交多项式展式 |
| 文章编号： | 1000-4750（2006）12-0047-06 |
| 收稿时间： | 2005-04-28 |
| 修稿时间： | 2005-04-282005-09-23 |
DAMAGE IDENTIFICATION OF STRUCTURES USING STOCHASTIC MODELS |
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| HUANG Bin,SHI Wen-hai. DAMAGE IDENTIFICATION OF STRUCTURES USING STOCHASTIC MODELS[J]. Engineering Mechanics, 2006, 23(12): 47-52,18 |
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| Authors: | HUANG Bin SHI Wen-hai |
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| Affiliation: | 1. School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan; Hubei 430070, China; 2. School of Civil Engineering, Wenzhou University, Wenzhou, Zhejiang 325000, China |
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| Abstract: | Based on recursive stochastic finite element method a random damage identification method for structures is developed. Control equations of random damage index are set up after random damage index is defined. Structural uncertainties and measurement noises are both considered in the control equations. Statistics of random damage index are obtained after the control equations are solved utilizing recursive stochastic finite element method. The results show that structural damages can be identified while model errors and measurement noises are both considered. It is also found that the method presented has the same effectiveness as Monte-Carlo simulation method for identifying damages of random structures in wide range of random fluctuation. |
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| Keywords: | random structures damage identification stochastic model recursive stochastic finite element method nonorthogonal polynomial expansions |
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