A two-stage method for structural damage identification using the proportional damage model

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (13) : 146-151.

ZHAO Jian-hua 1 ZHANG Ling 1 SUN Qing 2

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Abstract

In order to improve the efficiency of structural multi-damage identification, a two-stage method is presented for the identification and quantification of damage in this paper. In the first stage, a normalized modal strain energy based damage index is used to precisely determine the damage locations. The modal strain energy is calculated using the measured modal data and element stiffness matrix extracted from the finite element model. In the second stage, a matrix condensation approach in conjunction with a proportional damage model is then employed to derive the equation of quantifying the damage extent on the basis of damage location. Subsequently, the least-squares technique is used to solve for the unknowns of damage extent. To demonstrate the effectiveness of the proposed approach, numerical study has been carried out on a six-bay planar truss structure. The simulation results indicate that the proposed method is capable of identifying the location and extent of damage accurately with a certain noise level.

Key words

structural damage identification / normalized modal strain energy / proportional damage model / least-
squares techniques / robustness

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ZHAO Jian-hua 1 ZHANG Ling 1 SUN Qing 2. A two-stage method for structural damage identification using the proportional damage model[J]. Journal of Vibration and Shock, 2015, 34(13): 146-151

References

[1] 郭惠勇，李正良，彭川. 结构损伤动力识别技术的研究与进展[J]. 重庆建筑大学学报，2008, 30(1): 140-145.
GUO Hui-yong, LI Zheng-liang, PENG Chuan. Researches and advances in structural damage dynamic identification technology [J]. Journal of Chongqing Jianzhu University, 2008, 30(1): 140-145.
[2] Ben B S, Ben B A, Vikram K A, et al. Damage identification in composite materials using ultrasonic based Lamb wave method [J]. Measurement, 2013, 46: 904-912.
[3] 余竹，夏禾，Goicolea J M，等. 基于小波包能量曲率差法的桥梁损伤识别试验研究[J]. 振动与冲击，2013, 32(5): 20-25.
YU Zhu, XIA He, Goicolea J M, et al. Experimental study on bridge damage identification based on wavelet packet energy curvature difference method [J]. Journal of Vibration and Shock, 2013, 32(5): 20-25.
[4] 刘伟，高维成，李惠，等. 钢筋混凝土空间网格结构曲率模态曲面拟合损伤识别研究[J]. 振动与冲击，2013, 32(5): 20-25.
LIU Wei, GAO Wei-cheng, LI Hui, et al. Damage detection based on surface fitting of curvature mode for a reinforced concrete spatial lattice structure [J]. Journal of Vibration and Shock, 2013, 32(3): 68-74.
[5] Salawu O S. Detection of structural damage through changes in frequencies: a review [J]. Engineering Structures, 1997, 19(9): 718-723.
[6] Vestroni F, Capecchi D. Damage detection in beam structures based on frequency measurements [J]. Journal of Engineering Mechanics, 2000, 126(7): 761-768.
[7] 郭国会，易伟建. 基于频率进行简支梁损伤评估的数值研究[J]. 重庆建筑大学学报，2001, 23(2): 17-21.
GUO Guo-hui, YI Wei-jian. A numerical study on the damage assessment of a simply-supported beam on natural frequencies [J]. Journal of Chongqing Jianzhu University, 2001, 23(2): 17-21.
[8] 谢峻，韩大建. 一种改进的基于频率测量的结构损伤识别方法[J]. 工程力学，2004, 21(1): 17-25.
XIE Jun, HAN Da-jian. An improved method for structural damage detection based on frequency measurement [J]. Engineering Mechanics, 2004, 21(1): 17-25.
[9] Stubbs N, Kim J T, Farrar C R. Field verification of a nondestructive damage localization and sensitivity estimator algorithm [C]. Proceedings of the 13th International Modal Analysis Conference, 1995: 210-218.
[10] Cornwell P, Doebling S W, Farrar C R. Application of the strain energy damage detection method to plate-like structures [J]. Journal of Sound and Vibration, 1999, 224(2): 359-374.
[11] Shi Z Y, Law S S, Zhang L M. Structural damage localization from modal strain energy change [J]. Journal of Sound and Vibration, 1998, 218(5): 825-844.
[12] Kumar M, Shenoi R A, Cox S J. Experimental validation of modal strain energies based damage identification method for a composite sandwich beam [J]. Composite Science and Technology, 2009, 69: 1635-1643.
[13] 刘晖，瞿伟廉，袁润章. 基于应变能耗散率的结构损伤识别方法研究[J]. 工程力学，2004, 21(5): 198-202.
LIU Hui, QU Wei-lian, YUAN Run-zhang. A structural damage detection method based on modal strain energy dissipation ratio theory [J]. Engineering Mechanics, 2004, 21(5): 198-202.
[14] Banks H T, Inman D J, Leo D J, et al. An experimentally validated damage detection theory in smart structures [J]. Journal of Sound and Vibration, 1996, 191(5): 859-880.
[15] Luo H, Hanagud S. An integral equation for changes in the structural dynamics characteristics of damaged structures [J]. International Journal of Solids and Structures, 1997, 34(35-36): 4557-4579.
[16] 史治宇，罗绍湘，张令弥. 结构破损定位的单元模态应变能变化率法[J]. 振动工程学报，1998, 113(9): 356-360.
SHI Zhi-yu, LAW S S, ZHANG Ling-mi. Determination of structural damage location based on element modal strain energy change [J]. Journal of Vibration Engineering, 1998, 113(9): 356-360.
[17] Ge M, Liu E M. Structural damage identification using system dynamic properties [J]. Computers and structures, 2005, 83: 2185-2196.
[18] Santos J V A, Soares C M M, Soares C A M, et al. A damage identification numerical model based on the sensitivity of orthogonality conditions and least squares techniques [J]. Computers and structures, 2000, 78: 283-291.
[19] 张纯，宋固全. 去噪正则化模型修正方法在桥梁损伤识别中的应用[J]. 振动工程学报，2012, 25(1): 97-102.
ZHANG Chun, SONG Gu-quan. Bridge damage identification by finite element model updating with Tikhonov regularization and wavelet denoising [J]. Journal of Vibration Engineering, 2012, 25(1): 97-102.
[20] 张效忠，姚文娟. 基于敏感模态单元应变能法结构损伤识别[J]. 中南大学学报（自然科学版），2013, 44(7): 3014-3023.
ZHANG Xiao-zhong, YAO Wen-juan. Structural damage identification using element strain energy method based on sensitive modals [J]. Journal of Central South University (Science and Technology), 2013, 44(7): 3014-3023.
[21] 郭惠勇，李正良. 基于应变能等效指标的结构损伤识别技术研究[J]. 固体力学学报，2013, 34(3): 286-291.
GUO Hui-yong, LI Zheng-liang. Structural damage identification method based on strain energy equivalence parameter [J]. Chinese Journal of Solid Mechanics, 2013, 34(3): 286-291.