基于递阶遗传算法的结构多损伤监测

范德礼; 郑世杰; 王宏涛

基于递阶遗传算法的结构多损伤监测

1.
南京航空航天大学机械结构力学及控制国家重点实验室, 南京210016
2.
南京航空航天大学机电学院, 南京210016

基金项目: 国家自然科学基金重点项目(50830201);国家自然科学基金面上项目(51075202);江苏"青蓝工程";高校优势学科建设工程

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出版历程
- 收稿日期: 2012-09-25
- 刊出日期: 2013-09-28

Multiple damages detection of structure based on hierarchical genetic algorithm

1.
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautic, Nanjing 210016, China
2.
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

摘要

摘要: 基于递阶遗传算法(HGA)与结构优化思想,提出了一种针对欧拉-伯努利梁和二维板结构的多损伤监测方法.该方法利用递阶遗传算法的控制基因表示损伤的数量和位置,以参数基因表示损伤的程度,有效地避免了传统遗传算法(CGA)的早熟现象所造成的损伤误识别等问题.一个悬臂梁和悬臂方板结构模型的多损伤监测仿真计算表明该方法能够准确地监测一、二维结构中多个位置的损伤,而传统遗传算法难以识别二维结构中的多损伤情况.悬臂梁仿真算例中,该方法和传统遗传算法对多损伤程度的识别误差分别为0.144%和1.819%,所需的有限元计算次数该方法仅为传统遗传算法的16.4%.与传统遗传算法相比,递阶遗传算法明显提高了损伤识别方法的计算效率、精度和稳定性.
- 多损伤监测 /
- 递阶遗传算法 /
- 参数基因 /
- 控制基因 /
- 结构优化
Abstract: On the basis of a hierarchical genetic algorithm(HGA) and the idea of structural optimization,a method for multiple damages detection of an Euler-Bernoulli beam and a 2-D plate structure was presented.The algorithm employed control genes to represent the number and location of multiple damages and parametric genes to denote damage extents, effectively avoiding the premature phenomenon of conventional genetic algorithm(CGA).The results of a cantilever beam and a 2-D cantilever plate simulation examples show that the good agreements with the actual situation can be obtained by using the present method,but CGA can't accurately predict multiple damages of the plate.For the simulation of the cantilever beam,the average values of depth prediction errors for HGA and CGA are 0.144% and 1.819%,respectively. The iteration numbers of finite element computation of HGA are only 16.4% of that of CGA.Compared with CGA,HGA remarkably improves the computational efficiency,accuracy and stability.
- multiple damage detection /
- hierarchical genetic algorithms /
- parametric genes /
- control genes /
- structual optimization

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参考文献(15)

[1]	Mares C.An application of genetic algorithms to identify damage in elastic structures[J].Journal of Sound and Vibration,1996,195(2):195-215.
[2]	Zheng S J,Li Z Q,Wang H T.Research on delamination monitoring for composite structures based on HHGA-WNN[J].Applied Soft Computing,2009,9(3):918-923.
[3]	Zhang R X,Zheng S J,Xia Y J.Strain profile reconstruction of fiber bragg grating with gradients using chaos genetic algorithm and modified transfer matrix formulation[J].Optics Communications,2008,281(13):3476-3485.
[4]	Friswell M,Penny J,Garvey S.A combined genetic and eigensensitivity algorithm for the location of damage in structures[J].Computers and Structures,1998,69(5):547-556.
[5]	Au F,Cheng Y,Tham L,et al.Structural damage detection based on a micro-genetic algorithm using incomplete and noisy modal test data[J].Journal of Sound and Vibration,2003,259(5):1081-1094.
[6]	Lee S,Wooh S.Waveform-based identification of structural damage using the combined finite element method and microgenetic algorithms[J].Journal of Structural Engineering-Asce,2005,131(9):1464-1472.
[7]	He R,Hwang S.Damage detection by a hybrid real-parameter genetic algorithm under the assistance of grey relation analysis[J].Engineering Applications of Artificial Intelligence,2007,20(7):980-992.
[8]	Borges C,Barbosa H,Lemonge A.A structural damage identification method based on genetic algorithm and vibrational data[J].International Journal for Numerical Methods in Engineering,2007,69(13):2663-2686.
[9]	Nobahari M,Seyedpoor S.Structural damage detection using an efficient correlation-based index and a modified genetic algorithm[J].Mathematical and Computer Modelling,2011,53(9/10):1798-1809.
[10]	李小平,郑世杰.基于遗传算法和拓扑优化的结构多孔洞损伤识别[J].振动与冲击,2011,30(7):201-204. LI Xiaoping,ZHENG Shijie.Multi-hole damage detection in structures based on genetic algorithms and topology optimization[J].Journal of Vibration and Shock,2011,30(7):201-204.(in Chinese)
[11]	Lee J S,Kim J E,Kim Y Y.Damage detection by the topology design formulation using modal parameters[J].International Journal for Numerical Methods in Engineering,2007,69(7):1480-1498.
[12]	Lee J.Identification of multiple cracks in a beam using natural frequencies[J].Journal of Sound and Vibration,2009,320(3):482-490.
[13]	钱管良,顾松年,姜节胜.含裂纹梁的动力特性[J].航空学报,1989,10(9):448-454. QIAN Guanliang,GU Songnian,JIANG Jiesheng.Dynamic behavior of a cantilever beam with cracks[J].Acta Aeronoutica et Astronautica Sinica,1989,10(9):448-454.(in Chinese)
[14]	Krawczuk M,Zak A,Ostachowicz W.Elastic beam finite element with a transverse elasto-plastic crack[J].Finite Elementsin Analysis and Design,2000,34(1):61-73.
[15]	Ostachowicz W M,Krawczuk M.Anlaysis of the effect of cracks on the natural frequencies of a cantilever beam[J].Journal of Sound and Vibration,1991,150(2):191-201.