基于应变模态和信赖域优化的结构损伤识别方法
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摘要
将应变模态与信赖域优化算法相结合,提出了基于应变模态的最小二乘目标函数,将损伤识别问题转化为二次优化问题。由于传统的应变模态差既包含损伤位置信息,又包含损伤程度信息,对其进行目标函数最小化时容易产生误判,因此对应变模态目标函数进行了改进,改进后的优化分两步进行,实现了损伤识别的先定位、后定量。最后,通过两个数值算例对该方法进行了验证,结果表明改进方法的识别效果更为理想,为应变模态法在实际工程中的应用提供了新思路。
By combining strain mode with trust region optimization algorithm,a least-squares objective function was defined based on strain mode,then the detection problem was transformed into an optimization problem.Because the traditional modal strain index included both of damage location and damage degree information,there likely existed miscarriage of justice when the objective function was minimized,so the objective function based on strain mode was improved here.The improved optimization was carried out in two steps,the damage degree could be detected after it was located in the first step.Two numerical simulation experimental results show that the improved damage detection method is more desirable,and it provides a new idea for the applications of strain mode in practical engineering.
By combining strain mode with trust region optimization algorithm,a least-squares objective function was defined based on strain mode,then the detection problem was transformed into an optimization problem.Because the traditional modal strain index included both of damage location and damage degree information,there likely existed miscarriage of justice when the objective function was minimized,so the objective function based on strain mode was improved here.The improved optimization was carried out in two steps,the damage degree could be detected after it was located in the first step.Two numerical simulation experimental results show that the improved damage detection method is more desirable,and it provides a new idea for the applications of strain mode in practical engineering.
引文
[1]杨秋伟.基于振动的结构损伤识别方法研究进展[J].振动与冲击,2007,26(10):86-91.Yang Qiuwei.A Review of Vibration-based Structural Damage Identification Methods[J].Journal of Vibration and Shock,2007,26(10):86-91.
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[4]王复明,窦勇芝,蔡迎春.基于信赖域算法的连续梁桥动力损伤识别[J].公路交通科技,2007,24(6):66-70.Wang Fuming,Dou Yongzhi,Cai Yingchun.Damage Identification of Continuous Girder Bridge’s Dynamic Behavior Based on Trust Region Algorithm[J].Journal of Highway and Transportation Research and Development,2007,24(6):66-70.
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[8]Ndambi Mulanbula J M.Damage Assessment in Reinforced Concrete Beams by Damping Analysis[D].Brussel:Vrije University,2002.
[9]顾培英.基于应变模态技术的结构损伤诊断直接指标法研究[D].南京:河海大学,2006.
[10]Yang Q W.A Mixed Sensitivity Method for Structural Damage Detection[J].Communications in Numerical Methods in Engineering,2009,25(4):381-389.
[2]黄天立.结构系统和损伤识别的若干方法研究[D].上海:同济大学,2007.
[3]尹涛,余岭,朱宏平.一种基于模型修正的结构损伤识别方法[J].振动与冲击,2007,26(6):59-66.Yin Tao,Yu Ling,Zhu Hongping.Model Updating Based Approach for Structural Damage Identification[J].Journal of Vibration and Shock,2007,26(6):59-66.
[4]王复明,窦勇芝,蔡迎春.基于信赖域算法的连续梁桥动力损伤识别[J].公路交通科技,2007,24(6):66-70.Wang Fuming,Dou Yongzhi,Cai Yingchun.Damage Identification of Continuous Girder Bridge’s Dynamic Behavior Based on Trust Region Algorithm[J].Journal of Highway and Transportation Research and Development,2007,24(6):66-70.
[5]李功标,瞿伟廉.基于应变模态和贝叶斯方法的杆件损伤识别[J].武汉理工大学学报,2007,29(1):135-138.Li Gongbiao,Qu Weilian.Damage Detection of Bars Based on Strain Mode and Bayesian Statistical Method[J].Journal of Wuhan University of Technology,2007,29(1):135-138.
[6]李军,于德栋,白会人.基于应变模态的结构损伤定位方法[J].世界地震工程,2007,23(1):104-109.Li Jun,Yu Dedong,Bai Huiren.Damage Localization of Changes Based on the Strain Modes for Simply Supported Beam[J].World Earthquake Engineering,2007,23(1):104-109.
[7]杨秋伟,梁超锋.环境激励下检测结构损伤的柔度灵敏度方法[J].振动、测试与诊断,2011,31(3):305-307.Yang Qiuwei,Liang Chaofeng.Structural Damage Detection Using Ambient Vibration Modes[J].Journal of Vibration,Measurement&Diagnosis,2011,31(3):305-307.
[8]Ndambi Mulanbula J M.Damage Assessment in Reinforced Concrete Beams by Damping Analysis[D].Brussel:Vrije University,2002.
[9]顾培英.基于应变模态技术的结构损伤诊断直接指标法研究[D].南京:河海大学,2006.
[10]Yang Q W.A Mixed Sensitivity Method for Structural Damage Detection[J].Communications in Numerical Methods in Engineering,2009,25(4):381-389.
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