基于Info-Gap决策的结构抗震稳健性优化设计
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摘要
针对结构抗震设计中存在严重不确定性问题,基于Info-Gap理论建立一种考虑地震设计谱参数不确定的结构抗震稳健性优化设计方法.该设计方法采用Info-Gap模型来描述地震设计谱中反映地面运动强度的水平地震影响系数最大值αmax和场地特征周期Tg的不确定,通过嵌套优化使结构设计满足结构的临界性能要求的同时实现最大化不确定的稳健性.通过对一个6层3跨的钢框架的抗震稳健性优化设计验证分析表明:这种基于满足性能的结构抗震设计需在满足结构性能需求和提高不确定稳健性之间进行权衡取舍;同时也证实该方法为在不易得到不确定性因素足够信息情况下的基于性能结构抗震可靠性设计提供了一条新思路.
Seismic design for buildings is usually subject to various uncertainties,often severe,which have the potential to undermine engineering decisions.It is crucial that these uncertainties be accounted for in seismic design.We formulated a performance-based seismic design model that takes into account uncertainty in the seismic design spectrum of theαmaxand Tg.We used info-gap theory for satisfying the critical performance requirements,while at the same time maximized the robustness to uncertainty through nested optimization.The design implications of this robust-satisfying approach were demonstrated with a threespan six-floor steel frame design example.It is shown that design preferences depend upon the performance requirements considering the trade-off between robustness to uncertainty.Also,the result reveals that the proposed method provides a novel tool for the performance-based seismic reliability design under the lack of knowledge.
Seismic design for buildings is usually subject to various uncertainties,often severe,which have the potential to undermine engineering decisions.It is crucial that these uncertainties be accounted for in seismic design.We formulated a performance-based seismic design model that takes into account uncertainty in the seismic design spectrum of theαmaxand Tg.We used info-gap theory for satisfying the critical performance requirements,while at the same time maximized the robustness to uncertainty through nested optimization.The design implications of this robust-satisfying approach were demonstrated with a threespan six-floor steel frame design example.It is shown that design preferences depend upon the performance requirements considering the trade-off between robustness to uncertainty.Also,the result reveals that the proposed method provides a novel tool for the performance-based seismic reliability design under the lack of knowledge.
引文
[1]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010:33-35.GB 50011—2010 Code for seismic design of building[S].Beijing:China Architecture&Building Press,2010:33-35.(In Chinese)
[2]BEN-HAIM Y,ELISHAKOFF I.Convex models of uncertainty in applied mechanics[M].Amsterdam:Elsevier,1990:325-330.
[3]BEN-HAIM Y.Convex models of uncertainty:applications and implications[J].Erkenntnis,1994,41(2):139-156.
[4]MOENS D,VANDEPITTE D.A survey of non-probabilistic uncertainty treatment in finite element analysis[J].Computer Methods in Applied Mechanics and Engineering,2005,194(12):1527-1555.
[5]TAKEWAKI I,BEN-HAIM Y.Info-Gap robust design with load and model uncertainties[J].Journal of Sound and Vibration,2005,288(3):551-570.
[6]ELISHAKOFF I,ELISSEEFF P,GLEGG S A.Nonprobabilistic,convex-theoretic modeling of scatter in material properties[J].AIAA Journal,1994,32(4):843-849.
[7]BEN-HAIM Y.A non-probabilistic concept of reliability[J].Structural Safety,1994,14(4):227-245.
[8]亢战,罗阳军.基于凸模型的结构非概率可靠性优化[J].力学学报,2006,38(6):807-815.KANG Zhan,LUO Yang-jun.On structural optimization for non-probabilistic reliability based on convex models[J].Acta Mechanica Sinica:Chinese Edition,2006,38(6):807-815.(In Chinese)
[9]罗阳军,亢战.超椭球模型下结构非概率可靠性指标的迭代算法[J].计算力学学报,2009,25(6):747-752.LUO Yang-jun,KANG Zhan.An iteration approach for structural non-probabilistic reliability analysis based on hyper-ellipsoidal models[J].Chinese Journal of Computational Mechanics,2009,25(6):747-752.(In Chinese)
[10]苏永华,常伟涛,赵明华.深部巷道围岩稳定的区间非概率指标分析[J].湖南大学学报:自然科学版,2007,34(7):17-21.SU Yong-hua,CHANG Wei-tao,ZHAO Ming-hua.Nonprobabilistic index analysis method of the stability of deep rock around roadway based on interval variable[J].Journal of Hunan University:Natural Sciences,2007,34(7):17-21.(In Chinese)
[11]BEN-HAIM Y.Info-Gap decision theory:decisions under severe uncertainty[M].2nd ed.London:Academic Press,2006:260.
[12]PIERCE S G,WORDEN K,MANSON G.A novel information-Gap technique to assess reliability of neural network-based damage detection[J].Journal of Sound and Vibration,2006,293(1):96-111.
[13]MOILANMEN A,WINTE B A.Uncertainty analysis favours selection of spatially aggregated reserve networks[J].Biological Conservation,2006,129(3):427-434.
[14]DUNCAN S J,BRAS B,PAREDIS C J.An approach to robust decision making under severe uncertainty in life cycle design[J].International Journal of Sustainable Design,2008,1(1):45-59.
[15]BEN-HAIM Y.Value-at-risk with info-Gap uncertainty[J].Journal of Risk Finance,2005,6(5):388-403.
[16]BEN-HAIM Y.Uncertainty,probability and informationGaps[J].Reliability Engineering&System Safety,2004,85(1):249-266.
[17]RAO S S,BERKE L.Analysis of uncertain structural systems using interval analysis[J].AIAA Journal,1997,35(4):727-735.
[18]DAVIS L.Handbook of genetic algorithms[M].New York:Van Nostrand Reinhold,1991:325-330.
[19]刘思思,赵明华,杨明辉,等.基于自组织神经网络与遗传算法的边坡稳定性分析方法[J].湖南大学学报:自然科学版,2008,35(12):7-12.LIU Si-si,ZHAO Ming-hua,YANG Ming-hui,et al.Slope stability analysis method based on self-organizing neural network and genetic algorithm[J].Journal of Hunan University:Natural Sciences,2008,35(12):7-12.(In Chinese)
[20]LEITE J P,TOPPING B H.Improved genetic operators for structural engineering optimization[J].Advances in Engineering Software,1998,29(7):529-562.
[21]AABEK O,DION C M,YEDDER A B H.Evolutionary algorithms for the optimal laser control of molecular orientation[J].Journal of Physics B:Atomic,Molecular and Optical Physics,2003,36(23):4667.
[22]BRAMLTTE M F,CUSIC R.A comparative evaluation of search methods applied to parametric design of aircraft[C]//Proceedings of 3th International Conference on Genetic Algorithms.Burlington,Massachusetts:Morgan Kaufmann Publishers Inc,1989:213-218.
[23]吕西林,周定松.考虑场地类别与设计分组的延性需求谱和弹塑性位移反应谱[J].地震工程与工程振动,2004,24(1):39-48.LV Xi-lin,ZHOU Ding-song.Ductility demand spectra and inelastic displacement spectra considering soil conditions and design characteristic periods[J].Earthquake Engineering and Engineering Vibration,2004,24(1):39-48.(In Chinese)
[2]BEN-HAIM Y,ELISHAKOFF I.Convex models of uncertainty in applied mechanics[M].Amsterdam:Elsevier,1990:325-330.
[3]BEN-HAIM Y.Convex models of uncertainty:applications and implications[J].Erkenntnis,1994,41(2):139-156.
[4]MOENS D,VANDEPITTE D.A survey of non-probabilistic uncertainty treatment in finite element analysis[J].Computer Methods in Applied Mechanics and Engineering,2005,194(12):1527-1555.
[5]TAKEWAKI I,BEN-HAIM Y.Info-Gap robust design with load and model uncertainties[J].Journal of Sound and Vibration,2005,288(3):551-570.
[6]ELISHAKOFF I,ELISSEEFF P,GLEGG S A.Nonprobabilistic,convex-theoretic modeling of scatter in material properties[J].AIAA Journal,1994,32(4):843-849.
[7]BEN-HAIM Y.A non-probabilistic concept of reliability[J].Structural Safety,1994,14(4):227-245.
[8]亢战,罗阳军.基于凸模型的结构非概率可靠性优化[J].力学学报,2006,38(6):807-815.KANG Zhan,LUO Yang-jun.On structural optimization for non-probabilistic reliability based on convex models[J].Acta Mechanica Sinica:Chinese Edition,2006,38(6):807-815.(In Chinese)
[9]罗阳军,亢战.超椭球模型下结构非概率可靠性指标的迭代算法[J].计算力学学报,2009,25(6):747-752.LUO Yang-jun,KANG Zhan.An iteration approach for structural non-probabilistic reliability analysis based on hyper-ellipsoidal models[J].Chinese Journal of Computational Mechanics,2009,25(6):747-752.(In Chinese)
[10]苏永华,常伟涛,赵明华.深部巷道围岩稳定的区间非概率指标分析[J].湖南大学学报:自然科学版,2007,34(7):17-21.SU Yong-hua,CHANG Wei-tao,ZHAO Ming-hua.Nonprobabilistic index analysis method of the stability of deep rock around roadway based on interval variable[J].Journal of Hunan University:Natural Sciences,2007,34(7):17-21.(In Chinese)
[11]BEN-HAIM Y.Info-Gap decision theory:decisions under severe uncertainty[M].2nd ed.London:Academic Press,2006:260.
[12]PIERCE S G,WORDEN K,MANSON G.A novel information-Gap technique to assess reliability of neural network-based damage detection[J].Journal of Sound and Vibration,2006,293(1):96-111.
[13]MOILANMEN A,WINTE B A.Uncertainty analysis favours selection of spatially aggregated reserve networks[J].Biological Conservation,2006,129(3):427-434.
[14]DUNCAN S J,BRAS B,PAREDIS C J.An approach to robust decision making under severe uncertainty in life cycle design[J].International Journal of Sustainable Design,2008,1(1):45-59.
[15]BEN-HAIM Y.Value-at-risk with info-Gap uncertainty[J].Journal of Risk Finance,2005,6(5):388-403.
[16]BEN-HAIM Y.Uncertainty,probability and informationGaps[J].Reliability Engineering&System Safety,2004,85(1):249-266.
[17]RAO S S,BERKE L.Analysis of uncertain structural systems using interval analysis[J].AIAA Journal,1997,35(4):727-735.
[18]DAVIS L.Handbook of genetic algorithms[M].New York:Van Nostrand Reinhold,1991:325-330.
[19]刘思思,赵明华,杨明辉,等.基于自组织神经网络与遗传算法的边坡稳定性分析方法[J].湖南大学学报:自然科学版,2008,35(12):7-12.LIU Si-si,ZHAO Ming-hua,YANG Ming-hui,et al.Slope stability analysis method based on self-organizing neural network and genetic algorithm[J].Journal of Hunan University:Natural Sciences,2008,35(12):7-12.(In Chinese)
[20]LEITE J P,TOPPING B H.Improved genetic operators for structural engineering optimization[J].Advances in Engineering Software,1998,29(7):529-562.
[21]AABEK O,DION C M,YEDDER A B H.Evolutionary algorithms for the optimal laser control of molecular orientation[J].Journal of Physics B:Atomic,Molecular and Optical Physics,2003,36(23):4667.
[22]BRAMLTTE M F,CUSIC R.A comparative evaluation of search methods applied to parametric design of aircraft[C]//Proceedings of 3th International Conference on Genetic Algorithms.Burlington,Massachusetts:Morgan Kaufmann Publishers Inc,1989:213-218.
[23]吕西林,周定松.考虑场地类别与设计分组的延性需求谱和弹塑性位移反应谱[J].地震工程与工程振动,2004,24(1):39-48.LV Xi-lin,ZHOU Ding-song.Ductility demand spectra and inelastic displacement spectra considering soil conditions and design characteristic periods[J].Earthquake Engineering and Engineering Vibration,2004,24(1):39-48.(In Chinese)
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