部分输入未知条件下结构动力复合反演的分解算法
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摘要
在充分利用部分输入已确知而部分输入未知的激励特性的基础上,提出了结构动力复合反演的分解算法,该算法从源头上消除了迭代过程中参数识别与荷载反演的相互影响,降低了问题的计算规模。对于线性参数系统,该算法不经过任何迭代计算即可一次性完成结构参数识别及荷载反演。将其与松弛法结合,可解决非线性参数系统的识别问题,与文献[4]的方法比较,其收敛速度有显著提高。
A new time domain identification method called Decomposition Algorithm(DA) is proposed in this paper for solving structural parameter identification with incomplete input information,which is applied to the case when the loads acting on some parts of the structure are known.The method obviates entirely the mutual influence between parameters identification and loads inversion,and decreases the calculaton scale of the problem.Using DA algorithm,the unknown parameters and loads of linear parameter system can be identified directly.When combined with Relaxation Method,DA algorithm is also available to nonlinear parameter system.A numerical example of truss bridge is given for evaluating the validity of the method.The noise free measurements as well as noise included measurements are considered in the numerical analysis processes to verify the robustness of the proposed algorithm,and the results show that DA algorithm has favorable characteristics,such as high efficiency,insensitivity to initial parameter guess and adaptability.
A new time domain identification method called Decomposition Algorithm(DA) is proposed in this paper for solving structural parameter identification with incomplete input information,which is applied to the case when the loads acting on some parts of the structure are known.The method obviates entirely the mutual influence between parameters identification and loads inversion,and decreases the calculaton scale of the problem.Using DA algorithm,the unknown parameters and loads of linear parameter system can be identified directly.When combined with Relaxation Method,DA algorithm is also available to nonlinear parameter system.A numerical example of truss bridge is given for evaluating the validity of the method.The noise free measurements as well as noise included measurements are considered in the numerical analysis processes to verify the robustness of the proposed algorithm,and the results show that DA algorithm has favorable characteristics,such as high efficiency,insensitivity to initial parameter guess and adaptability.
引文
[1]TOK I K,SATO T.Iden tification of structura l para-m eter and inpu t ground m otion from response tim eh istory[J].J of S tru E ng,1989,6(2):413-421.
[2]KOZ IN F.E stim ation of param eter for system dri-ven by w h ite no ise exc itation[A],P roc.of IUTAMSym p.on random v ibration and re liab ility[C].F rank-furt Ioder,G erm any,H enn ing K laus.Ed.,1985,163-173.
[3]陈隽,李杰.部分输入未知条件下的结构系统识别研究[J].地震工程与工程振动,1998,18(4):40-47.(CHEN Jun,L I Jie.S tudy of structura l systemiden tification w ith incom p lete inpu t in form ation[J].E arthquake E ng ineering and E ng ineering V ibra-tion,1998,18(4):40-47.(in Ch inese))
[4]陈隽,李杰.系统非线性参数识别的松弛法[J].振动工程学报,2001,14(4):447-450.(CHEN Jun,L I Jie.R e laxation m ethod for non linear systemparam eter iden tification[J].J ourna l of V ibra tionE ng ineering,2001,14(4):447-450.(in Ch inese))
[5]李杰,陈隽.部分输入未知时求解动力复合反演问题的补偿算法[J].计算力学学报,2002,19(3):310-314.(L I Jie,CHEN Jun.Com pensation m ethodfor so lv ing dynam ica l com pos ite invers ion prob lemw ith incom p lete inpu t in form ation[J].Ch ineseJ ourna l of Computa tiona l M echan ics,2002,19(3):310-314.(in Ch inese))
[6]李国强,李杰.工程结构动力检测理论与应用[M].北京:科学出版社,2002.(L I G uo-q iang,L IJie.Dynam ic D etection T heory and App lica tion onE ng ineering S tructure[M].B e ijing:Sc ience P ress,2002.(in Ch inese))
[2]KOZ IN F.E stim ation of param eter for system dri-ven by w h ite no ise exc itation[A],P roc.of IUTAMSym p.on random v ibration and re liab ility[C].F rank-furt Ioder,G erm any,H enn ing K laus.Ed.,1985,163-173.
[3]陈隽,李杰.部分输入未知条件下的结构系统识别研究[J].地震工程与工程振动,1998,18(4):40-47.(CHEN Jun,L I Jie.S tudy of structura l systemiden tification w ith incom p lete inpu t in form ation[J].E arthquake E ng ineering and E ng ineering V ibra-tion,1998,18(4):40-47.(in Ch inese))
[4]陈隽,李杰.系统非线性参数识别的松弛法[J].振动工程学报,2001,14(4):447-450.(CHEN Jun,L I Jie.R e laxation m ethod for non linear systemparam eter iden tification[J].J ourna l of V ibra tionE ng ineering,2001,14(4):447-450.(in Ch inese))
[5]李杰,陈隽.部分输入未知时求解动力复合反演问题的补偿算法[J].计算力学学报,2002,19(3):310-314.(L I Jie,CHEN Jun.Com pensation m ethodfor so lv ing dynam ica l com pos ite invers ion prob lemw ith incom p lete inpu t in form ation[J].Ch ineseJ ourna l of Computa tiona l M echan ics,2002,19(3):310-314.(in Ch inese))
[6]李国强,李杰.工程结构动力检测理论与应用[M].北京:科学出版社,2002.(L I G uo-q iang,L IJie.Dynam ic D etection T heory and App lica tion onE ng ineering S tructure[M].B e ijing:Sc ience P ress,2002.(in Ch inese))
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