基于模态局部化和跃迁的网壳结构损伤指标
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摘要
由于模态局部化和模态跃迁使结构损伤前后的振型产生较大差别,二者间的相关性发生较大程度的弱化,基于这一事实,利用结构的振型相关系数,构造出一种对网壳结构局部损伤具有高敏感性的损伤特征向量。该向量构造简单,仅使用少数振型和少量的测试自由度。通过一个网壳结构的算例分析,对所提出的损伤特征向量的性质进行了检验。结果表明,该向量不仅具有较好的空间可分辨性、损伤敏感性和噪声鲁棒性,并且对结构有限元模型误差具有一定的适应性。
Both mode localization and mode transition can make the modes of a structure change a lot before and after its damage,and make the correlation between the modes weaken to a great extent.Based on the fact,using mode correlation coefficient,a damage characteristic vector with high sensitivity is presented for the detection of the partial damage of reticulated shell structures.The vector is simple,and it is composed of several modes and a few test freedoms.Through a numerical example of a reticulated shell structure,the properties of the damage characteristic vector are tested.The results show that the vector not only has fairly good resolution performance,damage sensitivity and noise robustness,but can keep its adaptability to some extent to the error of a structural finite element model.
Both mode localization and mode transition can make the modes of a structure change a lot before and after its damage,and make the correlation between the modes weaken to a great extent.Based on the fact,using mode correlation coefficient,a damage characteristic vector with high sensitivity is presented for the detection of the partial damage of reticulated shell structures.The vector is simple,and it is composed of several modes and a few test freedoms.Through a numerical example of a reticulated shell structure,the properties of the damage characteristic vector are tested.The results show that the vector not only has fairly good resolution performance,damage sensitivity and noise robustness,but can keep its adaptability to some extent to the error of a structural finite element model.
引文
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[2]张启伟.桥梁健康监测中的损伤特征提取与异常诊断[J].同济大学学报,2003,31(3):258-262.
[3]樊可清,倪一清,高赞明.基于频域系统辨识和支持向量机的桥梁状态监测方法[J].工程力学,2004,21(5):25-30.
[4]瞿伟廉,秦文科.输电塔法兰联结节点螺栓松动损伤诊断改进的模糊模式识别方法[J].地震工程与工程振动,2006,26(6):138-143.
[5]He Haoxiang,Yan Weiming.Structural damage de-tection with wavelet support vector machine:intro-duction and applications[J].Journal of StructuralControl and Health Monitoring,2007,14(1):162-176.
[6]Anderson P W.Absence of diffusion in certain ran-dom lattices[J].Physical Review,1958,109(3):1492-1505.
[7]Anderson P W,Mott N.Nobel lecture in physics for1977[J].Review of Modern Physics,1978,50(2):191-208.
[8]Hodges C H.Confinement of vibration by structure ir-regularity[J].Journal of Sound and Vibration,1982,82(3):411-424.
[9]Pierre C,Dowell E H.Localization of vibration bystructural irregularity[J].Journal of Sound and Vi-bration,1987,114(3):549-564.
[10]Bendiksen O O.Mode localization phenomena in largespace structures[J].American Institute of Aeronau-tics and Astronautics Journal,1987,25(9):1241-1248.
[11]罗惟德,王皓.失调结构的模态分析[J].复旦大学学报:自然科学版,1992,31(3):318-325.
[12]刘济科,赵令诚.结构振动模态局部化评述[J].振动与冲击,1995,14(4):1-4.
[13]王建军,李其汉,朱梓根.失谐叶片-轮盘结构系统振动局部化问题的研究进展[J].力学进展,2000,30(4):517-528.
[14]李凤明,汪越胜,黄文虎,等.失谐周期结构中振动局部化问题的研究进展[J].力学进展,2005,35(4):498-512.
[15]蒋友宝,冯健,孟少平.结构损伤识别中模态跃迁的研究[J].工程力学,2006,23(6):35-40.
[16]中华人民共和国建设部.JGJ61—2003网壳结构技术规程[S].北京:中国建筑工业出版社,2003.
[17]沈士钊,陈昕.网壳结构稳定性[M].北京:科学出版社,1999.
[18]唐敢,黎德琳,赵才其,等.空间结构初始几何缺陷分布规律的实测数据及统计参数[J].建筑结构,2008,38(2):74-78.
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