滞变结构随机地震反应的等价线性化方法研究
|
摘要
归纳了目前常用的随机地震荷载和结构滞变恢复力模型,对扩散理论方法、随机平均法、摄动法、矩截断法、数字模拟方法和等价线性化法等非线性系统随机振动的常用分析方法进行了讨论。总结了等价线性化方法的理论、发展及其在滞变结构随机地震反应分析中的应用,认为等价线性化方法特别是近些年提出的局部和无参数等价线性化方法,是研究滞变结构随机地震反应的一种非常简明实用的分析方法。通过探讨随机等价线性化方法的误差和修正,认为等价线性化方法能够产生高精度的分析结果。对钢筋混凝土结构的地震可靠度分析方法研究,具有一定的参考价值。
The random seismic loading and structural hysteretic restoring force model commonly used were summarized in this paper.The analysis method commonly used for random vibration of nonlinear systems,including the diffusion theory method,the stochastic averaging method,perturbation method,the moment truncation method,digital simulation method and the equivalent linearization method were discussed.The theory,development and the application of the method of equivalent linearization in hysteretic structures with random seismic response analysis were summarized.The results showed that the equivalent linearization method,especially in recent years,the local equivalent linearization method and no parameters equivalent linearization method,random seismic response of a hyste-retic structure can be analyzed in a very simple and practical way.By exploring random equivalent lineariza-tion method of error analysis and correction,we can get the conclusion that the use of equivalent lineariz-ation method can lead to highly accurate results.This paper is of a certain reference value for the seismic reli-ability of reinforced concrete structure analysis method.
The random seismic loading and structural hysteretic restoring force model commonly used were summarized in this paper.The analysis method commonly used for random vibration of nonlinear systems,including the diffusion theory method,the stochastic averaging method,perturbation method,the moment truncation method,digital simulation method and the equivalent linearization method were discussed.The theory,development and the application of the method of equivalent linearization in hysteretic structures with random seismic response analysis were summarized.The results showed that the equivalent linearization method,especially in recent years,the local equivalent linearization method and no parameters equivalent linearization method,random seismic response of a hyste-retic structure can be analyzed in a very simple and practical way.By exploring random equivalent lineariza-tion method of error analysis and correction,we can get the conclusion that the use of equivalent lineariz-ation method can lead to highly accurate results.This paper is of a certain reference value for the seismic reli-ability of reinforced concrete structure analysis method.
引文
[1]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.
[2]CLOUGH R,PENZIEN J.结构动力学[M].王光远,译.北京:高等教育出版社,2006.
[3]CONTE J P,PENG B F.Fully nonstationary analyticalearthquake ground-motion model[J].Journal of Engi-neering Mechanics,1997(1):15-24.
[4]YEH C H,WEN Y K.Modeling of nonstationary groundmotion and analysis of inelastic structural response[J].Structural Safety,1990(8):281-298.
[5]朱位秋.随机振动[M].北京:科学出版社,1998.
[6]LUTES D L,SARKANI S.Random vibrations:analysisof structural and mechanical systems[M].Butterworth-Hein-emann,2004.
[7]ROBERTS J B.The response of a oscillator with bilinearhysteresis to stationary random excitations[J].AppliedMechanics,1978,45:923-928.
[8]朱位秋,雷鹰.能量包线随机平均法在双线性迟滞系统随机响应分析中的应用[J].航空学报,1989,10(1):28-34.
[9]陈塑寰.结构振动分析的矩阵摄动理论[M].重庆:重庆出版社,1991.
[10]LIN Y K,CAI G Q.Probabilistic structural dynamics:advanced theory and applications[M].New York:McGraw-Hill Professional,2004.
[11]PROPPE C,PRADLWARTER H J,SCHU?LLER GI.Equivalent linearization and Monte Carlo simulationin stochastic dynamics[J].Probabilistic EngineeringMechanics,2003,18:1-15.
[12]CHING J,BECK J L,AU S K.Hybrid subset simula-tion method for reliability estimation of dynamical sys-tems subject to stochastic excitation[J].ProbabilisticEngineering Mechanics,2005,20(3):199-214.
[13]PROPPE C,PRADLWARTER H J,SCHUELLER G I.Equivalent linearization and Monte Carlo simulation instochastic dynamics[J].Probabilistic Engineering Me-chanics,2003,18:1-15.
[14]KAZAKOV I E.An approximate method for the statisti-ca investigation of nonlinear systems[J].Trudi VoennaVozdushnoi Inzhenernoi Akademii imeni Professora N.E Zhukowskogo,1954:1-52.
[15]BOOTON R C.The analysis of nonlinear central systemswith random inputs[J].Nonlinear Circuit Analysis,1953,1:32-34.
[16]CAUGHEY T K.Equivalent linearization techniques[J].The Journal of the Acoustical Society of America,1963,35:1706-1711.
[17]MADSEN H O,KRENK S,LIND N C.Methods ofstructural safety[M].US:Dover Publications,1986.
[18]WEN Y K.Equivalent linearization for hysteretic sys-tems under random excitation[J].Journal of AppliedMechanics,1980,47(1):150-155.
[19]CASCIATI F,FARAVELLI L,HASOFER A M.A newphilosophy for stochastic equivalent linearization[J].Probabilistic Engineering Mechanics,1993,8:179-185.
[20]FUJIMURA K,KIUREGHIAN A D.Tail-equivalentlinearization method for nonlinear random vibration[J].Probabilistic Engineering Mechanics,2007,22:63-76.
[21]GARRèL,KIUREGHIAN A D.Tail-equivalent lin-earization method in frequency domain and applicationto marine structures[J].Marine Structures,2010,23:322-338.
[22]KIUREGHIAN A D,FUJIMURA K.Nonlinear stochas-tic dynamic analysis for performance-based earthquakeengineering[J].Earthquake Engineering&StructuralDynamics,2009,38(5):719-738.
[23]SPANOS P D,SOFI A,PAOLA M D.Nonstationary re-sponse envelope probability densities of nonlinear oscil-lators[J].Journal of Applied Mechanics,2007,74(2):315-325.
[24]SCHENK C A,PRADLWARTER H J,SCHU?LLERG I.Non-stationary response of large,non-linear fi-nite element systems under stochastic loading[J].Com-puters&Structures,2005,83(14):1086-1102.
[25]SCHUЁLLER G I,PANDEY M,PRADLWARTER HJ.Equivalent linearization in engineering practice for aseismic design[J].Probabilistic Engineering Mechan-ics,1994,9:95-102.
[26]EMAM H H,PRADLWARTER H J,SCHUЁLLER G I.On the computational implementation of EQL in FE-a-nalysis[J].Stochastic Structural Dynamics,1999,85-91.
[27]朱东生,劳远昌,沈大元,等.LRB隔震桥梁的等效线性化设计方法[C]//崔京浩.第九届全国结构工程学术会议论文集:第Ⅱ卷.北京:工程力学期刊社,2000.
[28]孔德怡,李黎,江宜城,等.桥梁隔震设计中几种等效线性化方法比较研究[J].公路交通科技,2008,25(2):73-78.
[29]QIAN J,WANG X.3-Dimensional stochastic responseof off-shore towers random sea waves[J].ComputerStructure,1992,43:385-390.
[30]ZHANG J,KNOTHE K.Statistical linearization ofwheel rail contact nonlinearities for investigation of cur-ving behaviour with random track irregularities[J].Veh Syst Dyn,1996,25:731-745.
[31]PARK Y J.Equivalent linearization for seismic respon-ses[J].Engineering Mechanics Division,1992,118:2207-2226.
[2]CLOUGH R,PENZIEN J.结构动力学[M].王光远,译.北京:高等教育出版社,2006.
[3]CONTE J P,PENG B F.Fully nonstationary analyticalearthquake ground-motion model[J].Journal of Engi-neering Mechanics,1997(1):15-24.
[4]YEH C H,WEN Y K.Modeling of nonstationary groundmotion and analysis of inelastic structural response[J].Structural Safety,1990(8):281-298.
[5]朱位秋.随机振动[M].北京:科学出版社,1998.
[6]LUTES D L,SARKANI S.Random vibrations:analysisof structural and mechanical systems[M].Butterworth-Hein-emann,2004.
[7]ROBERTS J B.The response of a oscillator with bilinearhysteresis to stationary random excitations[J].AppliedMechanics,1978,45:923-928.
[8]朱位秋,雷鹰.能量包线随机平均法在双线性迟滞系统随机响应分析中的应用[J].航空学报,1989,10(1):28-34.
[9]陈塑寰.结构振动分析的矩阵摄动理论[M].重庆:重庆出版社,1991.
[10]LIN Y K,CAI G Q.Probabilistic structural dynamics:advanced theory and applications[M].New York:McGraw-Hill Professional,2004.
[11]PROPPE C,PRADLWARTER H J,SCHU?LLER GI.Equivalent linearization and Monte Carlo simulationin stochastic dynamics[J].Probabilistic EngineeringMechanics,2003,18:1-15.
[12]CHING J,BECK J L,AU S K.Hybrid subset simula-tion method for reliability estimation of dynamical sys-tems subject to stochastic excitation[J].ProbabilisticEngineering Mechanics,2005,20(3):199-214.
[13]PROPPE C,PRADLWARTER H J,SCHUELLER G I.Equivalent linearization and Monte Carlo simulation instochastic dynamics[J].Probabilistic Engineering Me-chanics,2003,18:1-15.
[14]KAZAKOV I E.An approximate method for the statisti-ca investigation of nonlinear systems[J].Trudi VoennaVozdushnoi Inzhenernoi Akademii imeni Professora N.E Zhukowskogo,1954:1-52.
[15]BOOTON R C.The analysis of nonlinear central systemswith random inputs[J].Nonlinear Circuit Analysis,1953,1:32-34.
[16]CAUGHEY T K.Equivalent linearization techniques[J].The Journal of the Acoustical Society of America,1963,35:1706-1711.
[17]MADSEN H O,KRENK S,LIND N C.Methods ofstructural safety[M].US:Dover Publications,1986.
[18]WEN Y K.Equivalent linearization for hysteretic sys-tems under random excitation[J].Journal of AppliedMechanics,1980,47(1):150-155.
[19]CASCIATI F,FARAVELLI L,HASOFER A M.A newphilosophy for stochastic equivalent linearization[J].Probabilistic Engineering Mechanics,1993,8:179-185.
[20]FUJIMURA K,KIUREGHIAN A D.Tail-equivalentlinearization method for nonlinear random vibration[J].Probabilistic Engineering Mechanics,2007,22:63-76.
[21]GARRèL,KIUREGHIAN A D.Tail-equivalent lin-earization method in frequency domain and applicationto marine structures[J].Marine Structures,2010,23:322-338.
[22]KIUREGHIAN A D,FUJIMURA K.Nonlinear stochas-tic dynamic analysis for performance-based earthquakeengineering[J].Earthquake Engineering&StructuralDynamics,2009,38(5):719-738.
[23]SPANOS P D,SOFI A,PAOLA M D.Nonstationary re-sponse envelope probability densities of nonlinear oscil-lators[J].Journal of Applied Mechanics,2007,74(2):315-325.
[24]SCHENK C A,PRADLWARTER H J,SCHU?LLERG I.Non-stationary response of large,non-linear fi-nite element systems under stochastic loading[J].Com-puters&Structures,2005,83(14):1086-1102.
[25]SCHUЁLLER G I,PANDEY M,PRADLWARTER HJ.Equivalent linearization in engineering practice for aseismic design[J].Probabilistic Engineering Mechan-ics,1994,9:95-102.
[26]EMAM H H,PRADLWARTER H J,SCHUЁLLER G I.On the computational implementation of EQL in FE-a-nalysis[J].Stochastic Structural Dynamics,1999,85-91.
[27]朱东生,劳远昌,沈大元,等.LRB隔震桥梁的等效线性化设计方法[C]//崔京浩.第九届全国结构工程学术会议论文集:第Ⅱ卷.北京:工程力学期刊社,2000.
[28]孔德怡,李黎,江宜城,等.桥梁隔震设计中几种等效线性化方法比较研究[J].公路交通科技,2008,25(2):73-78.
[29]QIAN J,WANG X.3-Dimensional stochastic responseof off-shore towers random sea waves[J].ComputerStructure,1992,43:385-390.
[30]ZHANG J,KNOTHE K.Statistical linearization ofwheel rail contact nonlinearities for investigation of cur-ving behaviour with random track irregularities[J].Veh Syst Dyn,1996,25:731-745.
[31]PARK Y J.Equivalent linearization for seismic respon-ses[J].Engineering Mechanics Division,1992,118:2207-2226.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心