An Improved Generalized Flexibility Sensitivity Method for Structural Damage Detection

doi:10.16183/j.cnki.jsjtu.2023.317

Abstract

Abstract:

This paper proposes an improved generalized flexibility sensitivity method for structural damage detection. The proposed approach improves the accuracy of the original generalized flexibility sensitivity method by increasing the order of the sensitivity in the damage detection equations. Additionly, restraint conditions are applied to the damage coefficients to ensure that they meet the necessary requirements. Then, the resulting nonlinear damage detection equations are solved using sequential quadratic programming method, whose calculation is simple and efficient. Finally, the proposed approach is validated numerically and experimentally using a truss structure finite element model and a 7-story steel-frame structure experiment, respectively. The results show that the proposed approach provides more accurate damage location and severity detection compared with the original method. Furthermore, it is better suited for cases involving large damage severity.

Key words: structural damage detection, generalized flexibility, modal, sensitivity, optimization

CLC Number:

TH212

NIU Zirong, WU Feng, HAN Zhaolong, ZHUO Yang, CHE Ailan, ZHU Hongbo. An Improved Generalized Flexibility Sensitivity Method for Structural Damage Detection[J]. Journal of Shanghai Jiao Tong University, 2025, 59(4): 541-549.

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工况	损伤位置和程度
D1	No.14弹性模量降低10%
D2	No.12弹性模量35%
D3	No.14,No.12,No.23弹性模量分别降低15%,25%,35%

工况	阶数
工况	一阶	二阶	三阶	四阶
健康	6.605	6.618	9.527	15.472
D1	6.601	6.615	9.503	15.467
D2	6.599	6.607	9.500	15.334
D3	6.592	6.604	9.460	15.343

阶数	计算时间/s
阶数	工况D1	工况D2	工况D3
一阶	0.00036	0.00040	0.00046
二阶	6.27	1.29	6.27
三阶	13.94	5.35	14.07
四阶	20.23	11.02	21.80

工况	损伤位置和程度
D1	1层刚度降低26.8%
D2	5层刚度降低37.8%
D3	1层,6层刚度分别降低19.6%,27.1%

阶数	健康	工况1	工况2	工况3
一阶	6.07	5.84	5.92	5.96
二阶	17.81	17.76	16.68	16.48
三阶	29.06	27.96	29.08	27.60