结构动力学有限元模型修正的目标函数及算法
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摘要
结构动力学有限元模型修正是结构动力学领域的一个热点问题,回顾了结构动力学有限元模型修正研究的发展历史和现状,简要评述了结构动力学有限元模型修正所使用的设计变量,着重阐述了各种结构动力学有限元模型修正方法中所使用的目标函数及修正算法,讨论了工程结构动力学有限元模型修正的一些策略,最后对结构动力学有限元模型修正技术的发展进行了总结和展望。
Structural dynamic finite element model updating becomes a hot topic.The history of structural dynamic finite element model updating method is adressed briefly and the advances of model updating in recent years are reviewed in three aspects,i.e.,design variables,objective functions and algorithms used in the updating technique.The design variables of model updating are discussed briefly,while emphasizing the discussion of objective functions and model updating algorithms adopted in model updating.Some strategies of model updating for the engineering structures are suggested.Finally,some key points of model updating for the future research are presented.
Structural dynamic finite element model updating becomes a hot topic.The history of structural dynamic finite element model updating method is adressed briefly and the advances of model updating in recent years are reviewed in three aspects,i.e.,design variables,objective functions and algorithms used in the updating technique.The design variables of model updating are discussed briefly,while emphasizing the discussion of objective functions and model updating algorithms adopted in model updating.Some strategies of model updating for the engineering structures are suggested.Finally,some key points of model updating for the future research are presented.
引文
[1]郭勤涛,张令弥,费庆国.结构动力学有限元模型修正的发展——模型确认[J].力学进展,2006,36(1):36-42.
[2]Go¨ge D,Link M.Assessment of computational model upda-ting procedures with regard to model validation[J].AerospaceScience and Technology,2003,7:47-61.
[3]Link M,Hanke G.Model quality assessment and model upda-ting[C]//Modal Analysis and Testing.Kluwer,Dordrecht,1999:305-324.
[4]李辉,丁桦.结构动力学模型修正方法研究进展[J].力学进展,2005,35(2):170-180.
[5]Go¨ge D,Link M.Results obtained by minimizing natural fre-quency and mode shape errors of a beam model[J].Mechani-cal Systems and Signal Processing,2003,17(1):21-27.
[6]Thonon C,Golinval J C.Reusult obtained by minimising natu-ral frequency and Mac-Value errors of a beam model[J].Me-chanical Systems and Signal Processing,2003,17(1):65-72.
[7]Mares C,Mottershead J E,Friswell M I.Result obtained byminimizing natural-frequency errors and using physical reason-ing[J].Mechanical Systems and Signal Processing,2003,17(1):39-46.
[8]Ambrogio W D,Fregolent A.Results obtained by minimizingnatural frequency and antiresonance errors of a beam model[J].Mechanical Systems and Signal Processing,2003,17(1):29-37.
[9]Bohle K,Fritzen C P.Results obtained by minimising naturalfrequency and MAC-Value errors of a plate model[J].Me-chanical Systems and Signal Processing,2003,17(1):55-64.
[10]Deraemaeker A,Ladeveze P,Loch S Le.Result obtained bythe CRE updating method using a plate model[J].MechanicalSystems and Signal Processing,2003,17(1):47-54.
[11]Steenackers G,Guillaume P.Finite element model updatingtaking into account the uncertainty on the modal parametersestimates[J].Journal of Sound and Vibration,2006,296:919-934.
[12]Mottershead J E,Rriswell M I,Ng G H T,et al.Geometricparameters for finite element model updating of joints and con-straints[J].Mechanical Systems and Signal Processing,1996,10(2):171-182.
[13]Mottershead J E,Mares C,Rriswell M I,et al.Selection andupdating of parameters for an aluminium[J].Mechanical Sys-tems and Signal Processing,2000,14(6):923-944.
[14]李岩,盛洪飞,黄新艺.大跨径斜拉桥动力分析基准有限元模型研究[J].公路交通科技,2006,23(9):58-62.
[15]丁幼亮,李爱群,缪长青,等.大跨桥梁结构损伤诊断与安全评估的多尺度有限元模拟研究[J].地震工程与工程振动,2006,26(2):66-72.
[16]孙正华,李兆霞,韩晓林.大跨桥梁索塔有限元模型修正[J].工程抗震与加固改造,2006,28(1):50-54.
[17]郑荣跃,吕忠达,许凯明.宁波招宝山大桥基于模型修正的动力分析[J].公路交通科技,2006,23(5):52-56.
[18]Gor¨l E,Link M.Damage identification using changes of eigen-frequencies and mode shapes[J].Mechanical Systems and Sig-nal Processing,2003,17(1):103-110.
[19]Aoki T,Sabia D,Rivella D.Influence of experimental dataand FE model on updating results of a brick chimney[J].AdvEng Softw,2008,39(4):237-335.
[20]余岭,万祖勇,朱宏平,等.基于PSO算法的结构模型修正与损伤检测[J].振动与冲击,2006,25(5):37-39.
[21]Jaishi B,Ren W X.Finite element model updating based on ei-genvalue and strain energy residuals using multiobjective op-timisation technique[J].Mechanical Systems and Signal Pro-cessing,2007,21:2295-2317.
[22]Hansona D,Waters T P,Thompson D J,et al.The role ofanti-resonance frequencies from operational modal analysis infinite element model updating[J].Mechanical Systems andSignal Processing,2007,21:74-97.
[23]Ambrogio W D,Fregolent A.The use of antiresonances forrobust model updating[J].Journal of Sound and Vibration,2000,236(2):227-243
[24]Jaishi B,Ren W X.Damage detection by finite element modelupdating using modal flexibility residual[J].Journal of Soundand Vibration,2006,292:179-202.
[25]Jaishi B,Kim H J,Kim M K,et al.Finite element model up-dating of concrete-filled steel tubular arch bridge under opera-tional condition using modal flexibility[J].Mechanical Sys-tems and Signal Processing,2007,21:2406-2426.
[26]Pascual R.Model based structural damage assessment usingvibration measurements[D].Belgium:Liege University,1999.
[27]Tarazaga P A,Halevib Y,Inman D J.The quadratic compres-sion method for model updating and its noise filtering proper-ties[J].Mechanical Systems and Signal Processing,2007,21:58-73.
[28]Carvalho J,Datta B N,Gupta A,et al.A direct method formodel updating with incomplete measured data and withoutspurious modes[J].Mechanical Systems and Signal Process-ing,2007,21:2715-2731.
[29]Berman A,Nagy E G.Improvement of large analytical modelusing test data[J].AIAA Journal,1983,21(8):1168-1173.
[30]Yuan Yongxin.A model updating method for undamped struc-tural systems[J].Journal of Computational and AppliedMathematics,2008,219(1):294-301.
[31]Hu J S-L,Li H J,Wang S Q.Cross-model Cross-modeMethod for Model Updating[J].Mechanical Systems and Sig-nal Processing,2007,21:1690-1703.
[32]Kanev S,Weber F,Verhaegen M.Experimental validation ofa finite-element model updating procedure[J].Journal ofSound and Vibration,2007,300:394-413.
[33]李林,朱宏平,洪可柱.基于神经网络方法的框架结构损伤检测的试验研究[J].振动与冲击,2006,25(1):107-109.
[34]徐丽,易伟建,吴高烈.混凝土框架柱刚度变化识别的应变模态方法研究[J].振动与冲击,2006,25(3):1-5.
[35]Asma F,Bouazzouni A.Finite element model updating usingvariable separation[J].European Journal of Mechanics A/Solids,2007,26:728-735.
[36]Zang C,Friswell M I,Lmregun M.Structural health monito-ring and damage assessment using measured FRFs from mutil-ple sensors,Part I:The indicator of correlation criteria[J].Key Engineering Materials,2003,245:131-139.
[37]温华兵,王国治.基于频响函数灵敏度分析的鱼雷模型有限元模型修正[J].鱼雷技术,2006,14(3):10-13.
[38]吕中荣,罗绍湘,刘济科.利用响应灵敏度修正Gascogine天桥的有限元模型[J].中山大学学报:自然科学版,2006,45(3):13-16.
[39]Lin R M,Zhu J.Finite element model updating using vibra-tion test data under base excitation[J].Journal of Sound andVibration,2007,303:596-613.
[40]Steenackers G,Devriendt C,Guillaume P.On the use oftransmissibility measurements for finite element model upda-ting[J].Journal of Sound and Vibration,2007,303:707-722.
[41]Pascual R,Schalchlib R,Razeto M.Robust parameter identi-fication using forced responses[J].Mechanical Systems andSignal Processing,2007,21:1008-1025.
[42]Pascual R,Golinval J C,Razeto M.A frequency domain cor-relation technique for model correlation and updating[C]//Proceedings of the 15th International Modal Analysis Confer-ence(IMACXV),Orlando,Society for Experimental Mechan-ics(SEM),1997:587-592.
[43]Combe J Ph,Ladeveze P,Pelle J P.Constitutive relation errorestimator for transient finite element analysis[J].Computermethods in applied mechanics and engineering,1999,176:165-185.
[44]Ladeveze P,Chouaki A.Application of a posteriori error esti-mation for structural model updating[J].Inverse Problems,1999,15:49-58.
[45]Choudki A T,Ladeveze P,Proslier L.Updating structuraldynamic models with emphasis on the damping properties[J].AIAA Journal,1998,36(6):1094-1099.
[46]Deraemaeker A,Ladeveze P,Leconte P.Reduced bases formodel updating in structural dynamics based on constitutive re-lation error[J].Computer Methods in Applied Mechanics andEngineering,2002,191:2427-2444.
[47]Barthe D,Deraemeaker A,Ladeveze P,et al.Validation andupdating of industrial models based on the constitutive relationerror[J].AIAA Journal,2004,42(7):1427-1434.
[48]郭力,李兆霞,陈鸿天.基于子结构分析的多重子步模型修正方法[J].中国工程科学,2006,8(9):42-48
[49]朱劲松,肖汝诚.桥梁损伤识别的实用模型修正方法研究[J].工业建筑,2006,36(增刊):219-224.
[50]丁幼亮,李爱群,缪长青,等.基于环境振动测试的润扬斜拉桥索塔的有限元模拟[J].公路交通科技,2006,23(7):57-63.
[51]Zivanovic S,Pavic A,Reynolds P.Finite element modellingand updating of a lively footbridge:The complete process[J].Journal of Sound and Vibration,2007,301:126-145.
[52]田仲初,彭涛,陈政清.佛山东平大桥静动力分层次有限元模型修正研究[J].振动与冲击,2007,26(6):162-165.
[2]Go¨ge D,Link M.Assessment of computational model upda-ting procedures with regard to model validation[J].AerospaceScience and Technology,2003,7:47-61.
[3]Link M,Hanke G.Model quality assessment and model upda-ting[C]//Modal Analysis and Testing.Kluwer,Dordrecht,1999:305-324.
[4]李辉,丁桦.结构动力学模型修正方法研究进展[J].力学进展,2005,35(2):170-180.
[5]Go¨ge D,Link M.Results obtained by minimizing natural fre-quency and mode shape errors of a beam model[J].Mechani-cal Systems and Signal Processing,2003,17(1):21-27.
[6]Thonon C,Golinval J C.Reusult obtained by minimising natu-ral frequency and Mac-Value errors of a beam model[J].Me-chanical Systems and Signal Processing,2003,17(1):65-72.
[7]Mares C,Mottershead J E,Friswell M I.Result obtained byminimizing natural-frequency errors and using physical reason-ing[J].Mechanical Systems and Signal Processing,2003,17(1):39-46.
[8]Ambrogio W D,Fregolent A.Results obtained by minimizingnatural frequency and antiresonance errors of a beam model[J].Mechanical Systems and Signal Processing,2003,17(1):29-37.
[9]Bohle K,Fritzen C P.Results obtained by minimising naturalfrequency and MAC-Value errors of a plate model[J].Me-chanical Systems and Signal Processing,2003,17(1):55-64.
[10]Deraemaeker A,Ladeveze P,Loch S Le.Result obtained bythe CRE updating method using a plate model[J].MechanicalSystems and Signal Processing,2003,17(1):47-54.
[11]Steenackers G,Guillaume P.Finite element model updatingtaking into account the uncertainty on the modal parametersestimates[J].Journal of Sound and Vibration,2006,296:919-934.
[12]Mottershead J E,Rriswell M I,Ng G H T,et al.Geometricparameters for finite element model updating of joints and con-straints[J].Mechanical Systems and Signal Processing,1996,10(2):171-182.
[13]Mottershead J E,Mares C,Rriswell M I,et al.Selection andupdating of parameters for an aluminium[J].Mechanical Sys-tems and Signal Processing,2000,14(6):923-944.
[14]李岩,盛洪飞,黄新艺.大跨径斜拉桥动力分析基准有限元模型研究[J].公路交通科技,2006,23(9):58-62.
[15]丁幼亮,李爱群,缪长青,等.大跨桥梁结构损伤诊断与安全评估的多尺度有限元模拟研究[J].地震工程与工程振动,2006,26(2):66-72.
[16]孙正华,李兆霞,韩晓林.大跨桥梁索塔有限元模型修正[J].工程抗震与加固改造,2006,28(1):50-54.
[17]郑荣跃,吕忠达,许凯明.宁波招宝山大桥基于模型修正的动力分析[J].公路交通科技,2006,23(5):52-56.
[18]Gor¨l E,Link M.Damage identification using changes of eigen-frequencies and mode shapes[J].Mechanical Systems and Sig-nal Processing,2003,17(1):103-110.
[19]Aoki T,Sabia D,Rivella D.Influence of experimental dataand FE model on updating results of a brick chimney[J].AdvEng Softw,2008,39(4):237-335.
[20]余岭,万祖勇,朱宏平,等.基于PSO算法的结构模型修正与损伤检测[J].振动与冲击,2006,25(5):37-39.
[21]Jaishi B,Ren W X.Finite element model updating based on ei-genvalue and strain energy residuals using multiobjective op-timisation technique[J].Mechanical Systems and Signal Pro-cessing,2007,21:2295-2317.
[22]Hansona D,Waters T P,Thompson D J,et al.The role ofanti-resonance frequencies from operational modal analysis infinite element model updating[J].Mechanical Systems andSignal Processing,2007,21:74-97.
[23]Ambrogio W D,Fregolent A.The use of antiresonances forrobust model updating[J].Journal of Sound and Vibration,2000,236(2):227-243
[24]Jaishi B,Ren W X.Damage detection by finite element modelupdating using modal flexibility residual[J].Journal of Soundand Vibration,2006,292:179-202.
[25]Jaishi B,Kim H J,Kim M K,et al.Finite element model up-dating of concrete-filled steel tubular arch bridge under opera-tional condition using modal flexibility[J].Mechanical Sys-tems and Signal Processing,2007,21:2406-2426.
[26]Pascual R.Model based structural damage assessment usingvibration measurements[D].Belgium:Liege University,1999.
[27]Tarazaga P A,Halevib Y,Inman D J.The quadratic compres-sion method for model updating and its noise filtering proper-ties[J].Mechanical Systems and Signal Processing,2007,21:58-73.
[28]Carvalho J,Datta B N,Gupta A,et al.A direct method formodel updating with incomplete measured data and withoutspurious modes[J].Mechanical Systems and Signal Process-ing,2007,21:2715-2731.
[29]Berman A,Nagy E G.Improvement of large analytical modelusing test data[J].AIAA Journal,1983,21(8):1168-1173.
[30]Yuan Yongxin.A model updating method for undamped struc-tural systems[J].Journal of Computational and AppliedMathematics,2008,219(1):294-301.
[31]Hu J S-L,Li H J,Wang S Q.Cross-model Cross-modeMethod for Model Updating[J].Mechanical Systems and Sig-nal Processing,2007,21:1690-1703.
[32]Kanev S,Weber F,Verhaegen M.Experimental validation ofa finite-element model updating procedure[J].Journal ofSound and Vibration,2007,300:394-413.
[33]李林,朱宏平,洪可柱.基于神经网络方法的框架结构损伤检测的试验研究[J].振动与冲击,2006,25(1):107-109.
[34]徐丽,易伟建,吴高烈.混凝土框架柱刚度变化识别的应变模态方法研究[J].振动与冲击,2006,25(3):1-5.
[35]Asma F,Bouazzouni A.Finite element model updating usingvariable separation[J].European Journal of Mechanics A/Solids,2007,26:728-735.
[36]Zang C,Friswell M I,Lmregun M.Structural health monito-ring and damage assessment using measured FRFs from mutil-ple sensors,Part I:The indicator of correlation criteria[J].Key Engineering Materials,2003,245:131-139.
[37]温华兵,王国治.基于频响函数灵敏度分析的鱼雷模型有限元模型修正[J].鱼雷技术,2006,14(3):10-13.
[38]吕中荣,罗绍湘,刘济科.利用响应灵敏度修正Gascogine天桥的有限元模型[J].中山大学学报:自然科学版,2006,45(3):13-16.
[39]Lin R M,Zhu J.Finite element model updating using vibra-tion test data under base excitation[J].Journal of Sound andVibration,2007,303:596-613.
[40]Steenackers G,Devriendt C,Guillaume P.On the use oftransmissibility measurements for finite element model upda-ting[J].Journal of Sound and Vibration,2007,303:707-722.
[41]Pascual R,Schalchlib R,Razeto M.Robust parameter identi-fication using forced responses[J].Mechanical Systems andSignal Processing,2007,21:1008-1025.
[42]Pascual R,Golinval J C,Razeto M.A frequency domain cor-relation technique for model correlation and updating[C]//Proceedings of the 15th International Modal Analysis Confer-ence(IMACXV),Orlando,Society for Experimental Mechan-ics(SEM),1997:587-592.
[43]Combe J Ph,Ladeveze P,Pelle J P.Constitutive relation errorestimator for transient finite element analysis[J].Computermethods in applied mechanics and engineering,1999,176:165-185.
[44]Ladeveze P,Chouaki A.Application of a posteriori error esti-mation for structural model updating[J].Inverse Problems,1999,15:49-58.
[45]Choudki A T,Ladeveze P,Proslier L.Updating structuraldynamic models with emphasis on the damping properties[J].AIAA Journal,1998,36(6):1094-1099.
[46]Deraemaeker A,Ladeveze P,Leconte P.Reduced bases formodel updating in structural dynamics based on constitutive re-lation error[J].Computer Methods in Applied Mechanics andEngineering,2002,191:2427-2444.
[47]Barthe D,Deraemeaker A,Ladeveze P,et al.Validation andupdating of industrial models based on the constitutive relationerror[J].AIAA Journal,2004,42(7):1427-1434.
[48]郭力,李兆霞,陈鸿天.基于子结构分析的多重子步模型修正方法[J].中国工程科学,2006,8(9):42-48
[49]朱劲松,肖汝诚.桥梁损伤识别的实用模型修正方法研究[J].工业建筑,2006,36(增刊):219-224.
[50]丁幼亮,李爱群,缪长青,等.基于环境振动测试的润扬斜拉桥索塔的有限元模拟[J].公路交通科技,2006,23(7):57-63.
[51]Zivanovic S,Pavic A,Reynolds P.Finite element modellingand updating of a lively footbridge:The complete process[J].Journal of Sound and Vibration,2007,301:126-145.
[52]田仲初,彭涛,陈政清.佛山东平大桥静动力分层次有限元模型修正研究[J].振动与冲击,2007,26(6):162-165.
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