基于刚度损伤指数的桥梁整体损伤程度模糊评定研究
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摘要
考虑损伤信息的随机性和模糊性,构建了反映结构整体状态信息的瞬时刚度矩阵;以矩阵相似度来衡量损伤前后瞬时刚度矩阵的变化并基于桥梁不同部位重要性的权重分配建立了一种新的刚度损伤指数。根据模糊化原理,采用正态隶属度函数构造出具有重叠关系的结构损伤程度模糊集。以双跨桥梁模型为验证平台,运用最大隶属度原则进行了各种损伤工况下模型结构的损伤程度模糊评定。研究表明:所提出的桥梁损伤程度模糊评定方法不依赖状态相似矩阵和损伤指数的概率分布,将其嵌入到结构健康监测系统中,可为现役结构的健康诊断提供依据,具有实际工程应用价值。
With considerations of the uncertainties of damage such as randomness and fuzziness,the overall instantaneous stiffness matrix of the structure is established,and the matrix similarity is applied to measure the resemblance between the initial matrix and the damaged ones.On this basis,the stiffness damage index is established,considering the importance of different parts of the bridge.Then,a group of fuzzy sets representing standard damage states could be inferred with the normal membership function,and the maximum membership principle is used to identify the degree of structural damage.The proposed method is further demonstrated through a two-span bridge model and the results show that the fuzzy identification of damage degree could be achieved effectively without regard to the state similarity matrix and the probability distribution of the structural damage index.The method has the potential to be embedded into the Structural Health Monitoring System,and to give decision support to the structural maintenance and life prediction.
With considerations of the uncertainties of damage such as randomness and fuzziness,the overall instantaneous stiffness matrix of the structure is established,and the matrix similarity is applied to measure the resemblance between the initial matrix and the damaged ones.On this basis,the stiffness damage index is established,considering the importance of different parts of the bridge.Then,a group of fuzzy sets representing standard damage states could be inferred with the normal membership function,and the maximum membership principle is used to identify the degree of structural damage.The proposed method is further demonstrated through a two-span bridge model and the results show that the fuzzy identification of damage degree could be achieved effectively without regard to the state similarity matrix and the probability distribution of the structural damage index.The method has the potential to be embedded into the Structural Health Monitoring System,and to give decision support to the structural maintenance and life prediction.
引文
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[11]Serdar Soyoz.Health monitoring of existing structures[D].Los Angeles:University of California,Irvian,2007.
[12]吴子燕,丁兰,刘书奎.基于广义卡尔曼滤波的桥梁结构物理参数识别的子结构法[J].西北工业大学学报,2010,28(3):425―428.Wu Ziyan,Ding Lan,Liu Shukui.A substructure method of extended Kalman filter for physical parameters idntification of bridge structures[J].Journal of Northwestern Polytechnical University,2010,28(3):425―428.(in Chinese)
[2]Huang C S,Hung S L,Wen C M,Tu T T.A neural network approach for structural identification and diagnosis of a building from seismic response data[J].Earthquake Engineering&Structural Dynamics,2002,32(2):187―206.
[3]Reda Taha M M,Lucero J.Damage identification for structural health monitoring using fuzzy pattern recognition[J].Engineering Structures,2005,27(12):1774―1783.
[4]Erdogan Altunok,Mahmoud M.Reda Taha.Damage pattern recognition for structural health monitoring using fuzzy similarity prescription[J].Computer-Aided Civil and Infrastructure Engineering,2006,21(8):549―560.
[5]吴子燕,张瑜,曹君.基于模糊模式识别的结构损伤状态评估研究[J].西北工业大学学报,2009,27(1):127―131.Wu Ziyan,Zhang Yu,Cao Jun.An effective general and practicable assessment of structural damage condition based on fuzzy pattern recognition[J].Journal of Northwestern Polytechnical University,2009,27(1):127―131.(in Chinese)
[6]陈水利,李敬功,王向公.模糊集理论及其应用[M].北京:科学出版社,2005.Chen Shuili,Li Jinggong,Wang Xianggong.The theory and applications of fuzzy sets[M].Beijing:Science Press,2005.(in Chinese)
[7]Chen Yangbo.Methodology for vibration-based highway bridge structure health monitoring[D].Los Angeles,USA:University of California,Irvine,2006.
[8]王钧利.在役桥梁检测、可靠性分析与寿命预测[M].北京:中国水利出版社,2006.Wang Junli.The detection,reliability analysis and life prediction of the service structure[M].Beijing:China Water Power Press,2006.(in Chinese)
[9]欧进萍,何政.钢筋混凝土结构基于地震损伤性能的设计[J].地震工程与工程振动,1999,19(1):21―30.Ou Jinping,He Zheng.Design of reinforced concrete structure based on seismic damage performance[J].Earthquake Engineering and Engineering Vibration,1999,19(1):21―30.(in Chinese)
[10]张爱林,王光远.服役塔形井架承载力的二级模糊评判[J].石油机械,1995,23(4):32―35.Zhang Ailin,Wang Guangyuan.The second fuzzy evaluation of the capacity of tower derrick[J].Petroleum machinery,1995,23(4):32―35.(in Chinese)
[11]Serdar Soyoz.Health monitoring of existing structures[D].Los Angeles:University of California,Irvian,2007.
[12]吴子燕,丁兰,刘书奎.基于广义卡尔曼滤波的桥梁结构物理参数识别的子结构法[J].西北工业大学学报,2010,28(3):425―428.Wu Ziyan,Ding Lan,Liu Shukui.A substructure method of extended Kalman filter for physical parameters idntification of bridge structures[J].Journal of Northwestern Polytechnical University,2010,28(3):425―428.(in Chinese)
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