提出了一种基于特征波导纳法和敏感性分析的大型周期支撑结构损伤识别方法。通过分析存在单一损伤单元有限周期支撑结构的自由波传播规律,建立了周期结构无量纲自振频率变化对基本周期单元刚度变化的敏感性分析矩阵。通过求解敏感性识别方程组,实现基于测量自振频率变化的大型周期支撑结构损伤检测。同时,分析表明所提出无量纲自振频率的敏感性与结构参数无关,即无需知道原始结构的准确几何物理参数就能确定敏感性系数。分别以一周期支撑梁与周期支撑法兰接头管道为例进行研究,表明本文方法仅用量测损伤前后的前几阶自振频率变化就能较准确地进行周期支撑结构多损伤识别。
Abstract
This paper develops a novel damage detection methodology for large periodically-supported structures based on the characteristic receptance method and sensitivity analysis technique. By analyzing the free vibration of a finite periodically-supported structure with a single disorder based on the wave propagation method, the sensitivity matrix of the non-dimensional natural frequencies with respect to the change in element stiffness is obtained. And then, the damage scenarios in large periodically-supported structures are identified with the damage induced changes of natural frequencies by solving a set of underdetermined equations based on the sensitivity matrix,. Furthermore, it is found that the sensitivities of the non-dimensional natural frequencies are independent of the structural physical parameters and thus any prior information of the original structures is never required. The proposed method is demonstrated by the numerical case studies conducted for both a periodically-supported beam and a periodically-supported flanged pipeline with various damage scenarios by utilizing only the frequency measurements for the first few modes before and after damage.
关键词
特征波导纳 /
敏感性分析 /
周期结构 /
损伤识别 /
法兰连接管道
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Key words
Characteristic receptance /
sensitivity analysis /
periodic structures /
damage detection /
flanged pipeline.
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参考文献
[1] Zhao J and DeWolf J T. Sensitivity study for vibrational parameters used in damage detection[J]. Journal of Structural Engineering, 1999, 125(4): 410-416.
[2] Cawley P and Adams R D. The location of defects in structures from measurements of natural frequencies[J]. Journal of Strain Analysis for Engineering Design, 1979, 14(2): 49-57.
[3] Biswas M, Pandey A K, Samman M M. Diagnostic experimental spectral/modal analysis of a highway bridge[J]. Science, 1936, 84(2182): 377-377.
[4] Wahab M M A, Roeck G D. Damage detection in bridges using modal curvatures: application to a real damage scenario[J]. Journal of Sound and Vibration, 1999, 226(2): 217-235.
[5] 薛松涛, 钱宇音, 陈镕, 王远功. 采用二阶频率灵敏度的损伤识别和试验[J]. 同济大学学报, 2003, 31(3): 263-267.
XUE Song-tao, QIAN Yu-yin, CHEN Rong, WANG Gong- yuan. Damage identification and experiments of frame structure based on second-order rrequency sensitivity[J]. Journal Of Tongji University (Natural Science), 2003, 31(3): 263-267.
[6] YIN Tao, ZHU Hong-ping, YU Ling. Noise analysis for sensitivity-based structural damage detection[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(6), 741-750.
[7] 朱宏平, 何波. 基于敏感性分析的周期结构损伤检测[J]. 工程力学, 2003, 20(3): 108-114.
ZHU Hong-ping, HE Bo. Damage detection in periodic structures based on a sensitivity method[J]. Engineering Mechanics, 2003, 20(3): 108-114.
[8] Zhu H, Wu M. The characteristic receptance method for damage detection in large mono-coupled periodic structures[J]. Journal of Sound and Vibration, 2002, 251(251): 241-259.
[9] Zhu H P, Xu Y L. Damage detection of mono-coupled periodic structures based on sensitivity analysis of modal parameters[J]. Journal of Sound and Vibration, 2005, 285(1-2): 365-390.
[10] Mead D J, Bansal A S. Mono-coupled periodic systems with a single disorder: free wave propagation[J]. Journal of Sound and Vibration, 1978, 61(4): 481-496.
[11] Mead D J. Wave propagation and natural modes in periodic systems: I. Mono-coupled systems[J].Journal of Sound and Vibration, 1975, 40(1): 1-18.
[12] Lawson C L, Hanson R J. Solving least squares problems[M]. Englewood Cliffs, NJ: Prentice-hall, 1974.
[13] 姜东,吴邵庆,史勤丰,费庆国.基于各向同性本构关系薄层单元的螺栓连接参数识别[J]. 振动与冲击, 2014, 33(22): 35-40.
JIANG Dong, WU Shao-qing, SHI Qin-feng, FEI Qing-guo. Parameter identification of bolted-joint using thin-layer element with isotropic constitutive relationship[J]. Journal of Vibration and Shock, 2014, 33(22): 35-40.
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脚注
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