大型复杂结构损伤识别两步法研究
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摘要
基于模型修正技术及模态柔度曲率差方法提出了一种解决大型复杂结构损伤识别问题的两步法。首先运用基于模型修正的损伤识别方法进行模糊识别,通过建立带约束边界非线性最小二乘目标函数,极小化结构实测模态与解析模态之间的误差,将损伤识别问题转化为优化问题,并采用信赖域方法求解该优化问题,识别出损伤所属单元组。然后运用模态柔度曲率差方法,对损伤进行精确定位。对某导弹发射台骨架的数值仿真及试验研究结果表明,该损伤识别两步法识别效果较为理想,为解决大型复杂结构的损伤识别问题提供了新思路。
A new method for complex structures damage detection was proposed based on model updating and modal flexibility curvature difference techniques herein.The method have two steps.First,the method based on model updating was used for preparatory detection.The detection problem was transformed into an optimization problem in this method.An objective function was defined as an nonlinear least-squares problem with bound-constrains and for detection of the location of structural damage by minimizing the sum of differences between the experimental and analytical modal data.The trust-region approach was then used to solve the minimization problem.The method based on modal flexibility curvature difference was then used for detect the location of structural damage accurately.Finally,the proposed method was applied for damage detection on the frame of a launch platform.The simulation and experimentatal results show that the proposed method is suitable well for damage detection on such complex structures.
A new method for complex structures damage detection was proposed based on model updating and modal flexibility curvature difference techniques herein.The method have two steps.First,the method based on model updating was used for preparatory detection.The detection problem was transformed into an optimization problem in this method.An objective function was defined as an nonlinear least-squares problem with bound-constrains and for detection of the location of structural damage by minimizing the sum of differences between the experimental and analytical modal data.The trust-region approach was then used to solve the minimization problem.The method based on modal flexibility curvature difference was then used for detect the location of structural damage accurately.Finally,the proposed method was applied for damage detection on the frame of a launch platform.The simulation and experimentatal results show that the proposed method is suitable well for damage detection on such complex structures.
引文
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[3]曹晖,张新亮,李英民.利用模态柔度曲率差识别框架的损伤[J].振动与冲击,2007,26(6):116-120.
[4]Law S S,Shi Z Y,Zhang L M.Structural Damage Detection from Incomplete and Noisy Modal Test Data[J].Journal of Engineering Mechanics-ASCE,1998,124(11):1280-1288.
[5]徐伟华,刘济科.基于移动载荷响应的多跨连续桥梁损伤检测[J].力学与实践,2008,30(5):49-52.
[6]张德海,朱浮声.结构损伤智能诊断研究进展[J].力学与实践,2003,25(4):1-5.
[7]Conn A R,Gould N I M,Toint P L.Trust-region Methods(MPS/SIAM Series on Optimization)[M].Philadelphia:Society for Industrial Mathematics,1987.
[8]Branch M A,Coleman T F,Li Y.A Subspace Interi-or and Conjugate Gradient Method for Large-scale Bound-constrained Minimization Problems[J].SIAM Journal on Scientific Computing,1999,21(1):1-23.
[9]Pandey A K,Biswas M.Damage Detection in Structures Using Changes in Flexibility[J].Journal of Sound and Vibration,1994,169(1):3-17.
[2]瞿伟廉,陈超.基于应变模态的钢结构构件焊缝损伤定位方法的研究[J].世界地震工程,2002,18(2):2-7.
[3]曹晖,张新亮,李英民.利用模态柔度曲率差识别框架的损伤[J].振动与冲击,2007,26(6):116-120.
[4]Law S S,Shi Z Y,Zhang L M.Structural Damage Detection from Incomplete and Noisy Modal Test Data[J].Journal of Engineering Mechanics-ASCE,1998,124(11):1280-1288.
[5]徐伟华,刘济科.基于移动载荷响应的多跨连续桥梁损伤检测[J].力学与实践,2008,30(5):49-52.
[6]张德海,朱浮声.结构损伤智能诊断研究进展[J].力学与实践,2003,25(4):1-5.
[7]Conn A R,Gould N I M,Toint P L.Trust-region Methods(MPS/SIAM Series on Optimization)[M].Philadelphia:Society for Industrial Mathematics,1987.
[8]Branch M A,Coleman T F,Li Y.A Subspace Interi-or and Conjugate Gradient Method for Large-scale Bound-constrained Minimization Problems[J].SIAM Journal on Scientific Computing,1999,21(1):1-23.
[9]Pandey A K,Biswas M.Damage Detection in Structures Using Changes in Flexibility[J].Journal of Sound and Vibration,1994,169(1):3-17.
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