结构试验测点的二维优化布置
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摘要
基于组合原理对结构二维变形状况的测点布置方法进行了研究,提出了结构测点的二维优化布置方法。首先通过对结构测点进行二维双向组合,利用有限的已知相邻测点的响应值采用双线性插值方法估计未布置测点的响应值,再通过建立在二维测点双向位移分量相似程度上的适应度函数优化测点组合方案,选取适应度函数值最小的测点布置方案,从而实现传感器测点优化配置的目的。应用该方法对悬臂矩形板弯曲变形实测进行了测点优化布置,组合优化数值结果验证了该方法的可行性和有效性。
The paper provides a methodology for the optimal sensor location of two-dimensional components of structure based on combinatorial optimization principle.Firstly,the measuared two-dimensional displacement components are combined,so the response at unmeasured locations can be predicted by the information from these measured points using bilinear interpolation.Secondly,fitness functions of the optimal sensor location are adopted to optimize sensor locations by checking if the total errors of the predited responses are minimized.Finally,this proposed method is applied to designing the optimal locations for measuring the asymmetric bending deformation of a cantilever rectangular plate.The combinatorial optimization results prove the feasibility and validity of proposed method.
The paper provides a methodology for the optimal sensor location of two-dimensional components of structure based on combinatorial optimization principle.Firstly,the measuared two-dimensional displacement components are combined,so the response at unmeasured locations can be predicted by the information from these measured points using bilinear interpolation.Secondly,fitness functions of the optimal sensor location are adopted to optimize sensor locations by checking if the total errors of the predited responses are minimized.Finally,this proposed method is applied to designing the optimal locations for measuring the asymmetric bending deformation of a cantilever rectangular plate.The combinatorial optimization results prove the feasibility and validity of proposed method.
引文
[1]Li Q S,Liu D K,Fang J Q,Tam C M.Multi-level optimal design of buildings with active control under wind using genetic algorithms[J].Journal of Engineering and Industrial Aerodynamics,2000(86):65―86.
[2]李正农,刘福义,李秋胜.高层建筑动力反应实测中测点的优化布置方法的研究[J].地震工程与工程振动,2003,23(5):149―156.Li Zhengnong,Liu Fuyi,Li Qiusheng.Optimal sensor locations for measurements of dynamic responses of tall buildings[J].Earthquake Engineering and Engineering Vibration,2003,23(5):149―156.(in Chinese)
[3]李正农,唐银桥.高耸结构实测测点布置方法的研究[J].武汉理工大学学报,2005,27(4):40―43.Li Zhengnong,Tang Yinqiao.Optimal sensor location in structural measurement of high-rise building[J].Journal of Wuhan University of Technology,2005,27(4):40―43.(in Chinese)
[4]Marie Reynier,Hisham Abou-Kandil.Sensors location for updating problems[J].Mechanical Systems and Signal Processing,1999,13(2):297―314.
[5]Bruant I,Coffignal G,Lene F,Verge M.Amethodology for determination of piezoelectric actuator and sensor location on beam structures[J].Journal of Sound and Vibration,2001,243(5):861―882.
[6]谢强,薛松涛,王远功.利用线性模型估计的传感器优化布置算法[J].固体力学学报,2006,27(1):46―50.Xie Qiang,Xue Songtao,Wang Yuangong.Optimal sensor location algorithm using linear model estimate[J].Acta Mechanica Solida Sinica,2006,27(1):46―50.(in Chinese)
[7]张连振,黄侨,王潮海.基于多目标遗传算法的传感器优化布点研究[J].工程力学,2007,24(4):168―172.Zhang Lianzhen,Huang Qiao,Wang Chaohai.Optimal sensor placement based on multi-obeject genetic algorithm[J].Engineering Mechanics,2007,24(4):168―172.(in Chinese)
[8]孙万泉,李庆斌.随机荷载作用下结构主动控制的作动器优化配置[J].工程力学,2007,24(3):115―119.Sun Wanquan,Li Qingbin.Optimal placement of actuators for structure initiative control under stochastic load[J].Engineering Mechanics,2007,24(3):115―119.(in Chinese)
[9]Friswell M I,Mottershead J E.Finite element model updating in structural dynamics[M].Dordrecht/Boston/London:Kluwer Academic Publishers,1999.
[10]张福范.弹性薄板[M].第2版.北京:科学出版社,1984.Zhang Fufan.Elastic thin plate[M].2nd ed.Beijing:Science Press,1984.(in Chinese)
[2]李正农,刘福义,李秋胜.高层建筑动力反应实测中测点的优化布置方法的研究[J].地震工程与工程振动,2003,23(5):149―156.Li Zhengnong,Liu Fuyi,Li Qiusheng.Optimal sensor locations for measurements of dynamic responses of tall buildings[J].Earthquake Engineering and Engineering Vibration,2003,23(5):149―156.(in Chinese)
[3]李正农,唐银桥.高耸结构实测测点布置方法的研究[J].武汉理工大学学报,2005,27(4):40―43.Li Zhengnong,Tang Yinqiao.Optimal sensor location in structural measurement of high-rise building[J].Journal of Wuhan University of Technology,2005,27(4):40―43.(in Chinese)
[4]Marie Reynier,Hisham Abou-Kandil.Sensors location for updating problems[J].Mechanical Systems and Signal Processing,1999,13(2):297―314.
[5]Bruant I,Coffignal G,Lene F,Verge M.Amethodology for determination of piezoelectric actuator and sensor location on beam structures[J].Journal of Sound and Vibration,2001,243(5):861―882.
[6]谢强,薛松涛,王远功.利用线性模型估计的传感器优化布置算法[J].固体力学学报,2006,27(1):46―50.Xie Qiang,Xue Songtao,Wang Yuangong.Optimal sensor location algorithm using linear model estimate[J].Acta Mechanica Solida Sinica,2006,27(1):46―50.(in Chinese)
[7]张连振,黄侨,王潮海.基于多目标遗传算法的传感器优化布点研究[J].工程力学,2007,24(4):168―172.Zhang Lianzhen,Huang Qiao,Wang Chaohai.Optimal sensor placement based on multi-obeject genetic algorithm[J].Engineering Mechanics,2007,24(4):168―172.(in Chinese)
[8]孙万泉,李庆斌.随机荷载作用下结构主动控制的作动器优化配置[J].工程力学,2007,24(3):115―119.Sun Wanquan,Li Qingbin.Optimal placement of actuators for structure initiative control under stochastic load[J].Engineering Mechanics,2007,24(3):115―119.(in Chinese)
[9]Friswell M I,Mottershead J E.Finite element model updating in structural dynamics[M].Dordrecht/Boston/London:Kluwer Academic Publishers,1999.
[10]张福范.弹性薄板[M].第2版.北京:科学出版社,1984.Zhang Fufan.Elastic thin plate[M].2nd ed.Beijing:Science Press,1984.(in Chinese)
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