| 结构损伤识别的残余向量法及数值仿真 |
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| 引用本文： | 李范春,李成,杜玲.结构损伤识别的残余向量法及数值仿真[J].哈尔滨工业大学学报,2009,41(3):250-253. |
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| 作者姓名： | 李范春 李成 杜玲 |
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| 作者单位： | 李范春,杜玲,LI Fan-chun,DU Ling(大连海事大学,轮机工程学院,大连,116026);李成,LI Cheng(哈尔滨工程大学,建筑工程学院,哈尔滨,150001)
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| 摘 要： | 为了找到对小损伤较敏感的参数,在结构自由振动微分方程基础上,利用广义逆和矩阵投影定理,导出了识别效果很好的残余向量投影范数.确定了损伤单元,计算了该损伤单元的损伤因子.算例分析发现,该参数对结构损伤非常敏感,能识别出结构中的微小损伤,而且不受损伤位置的约束,仅需要结构的前几阶模态就能达到很好的效果.
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| 关 键 词： | 损伤识别 模态分析 广义逆 残余向量投影范数 |
Residual vector norm method and numerical simulation of structural damage identification |
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| LI Fan-chun,LI Cheng,DU Ling.Residual vector norm method and numerical simulation of structural damage identification[J].Journal of Harbin Institute of Technology,2009,41(3):250-253. |
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| Authors: | LI Fan-chun LI Cheng DU Ling |
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| Affiliation: | 1(1.Marine Engineering College,Dalian Maritime University,Dalian 116026,China;2.College of Civil Engineering,Harbin Engineering University,Harbin 150001,China) |
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| Abstract: | In order to find out parameters with high precision for small damage,based on differential equation of free vibration,the residual vector projected norm with good identification effect was deduced using general inverse and matrix projected theorems.The damaged element and the damage factor were easily obtained.The analysis of a computational example shows the sensitivity of this method to identify the damage in structure.The minuteness damage in structure can be identified and good effects can be obtained in the first few modes. |
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| Keywords: | damage identification modal analysis general inverse projection modulus of residual vector |
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