Damage Identification in Beam-Type Structures Using Pseudo Strain Energy Density and Grey Relation Coefficient

• Published in: Transactions of Tianjin University Vol. 16; no. 2; pp. 96 - 103
• Main Author: 陈晓强 朱宏半 张俊兵 李林
• Format: Journal Article
• Language: English
• Published: Heidelberg Tianjin University 01.04.2010; School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China; Hubei Key Laboratory of Control Structure, Huazhong University of Science and Technology, Wuhan 430074, China
• Subjects: Engineering; Humanities and Social Sciences; Mechanical Engineering; multidisciplinary; Science; 损伤识别; 灰色关联系数; 能量密度; genetic algorithm; strain test data; polyvinylidens fluoride; grey relation coefficient; pseudo strain energy density; damage identification
• ISSN: 1006-4982; 1995-8196
• DOI: 10.1007/s12209-010-0017-2

Based on pseudo strain energy density （PSED） and grey relation coefficient （GRC）, an index is proposed to locate the damage of beam-type structures in time-domain. The genetic algorithm （GA） is utilized to identify the structural damage severity of confirmed damaged locations. Furthermore, a systematic damage identification program based on GA is developed on MATLAB platform. ANSYS is employed to conduct the finite element analysis of com- plicated civil engineering structures, which is embedded with interface technique. The two-step damage identification is verified by a finite element model of Xinxingtang Highway Bridge and a laboratory beam model based on polyvi- nylidens fluoride （PVDF）. The bridge model was constructed with 57 girder segments, and simulated with 58 meas- urement points. The damaged segments were located accurately by GRC index regardless of damage extents and noise levels. With stiffness reduction factors of detected segments as variables, the GA program evolved for 150 generations in 6 h and identified the damage extent with the maximum errors of 1% and 3% corresponding to the noise to signal ratios of 0 and 5%, respectively. In contrast, the common GA-based method without using GRC index evolved for 600 generations in 24 h, but failed to obtain satisfactory results. In the laboratory test, PVDF patches were used as dynamic strain sensors, and the damage locations were identified due to the fact that GRC indexes of points near damaged ele- ments were smaller than 0.6 while those of others were larger than 0.6. The GA-based damage quantification was also consistent with the value of crack depth in the beam model.