设防烈度下非比例阻尼结构地震随机响应峰值区间估计方法
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摘要
建立与抗震规范设防水准相一致的地震动随机模型,给出了非比例阻尼结构体系地震反应运动方程,推导了非比例阻尼结构体系分析的复振型时域闭合解和地震随机响应的闭合解。通过随机响应的峰值因子和变异系数获得了非比例阻尼结构体系的地震随机响应峰值均值和方差,提出了设防烈度下非比例阻尼结构体系随机响应峰值区间估计方法。计算31条实际地震记录的复振型时域闭合解,并与地震随机响应的闭合解进行了比较,算例结果表明随机响应峰值区间估计方法的合理性和有效性。地震响应区间分析方法将是工程抗震设计的一个重要方法。
The seismic random model of ground motion under earthquake fortification level was given based on the new seismic code.The close forms of complex mode time history response and random seismic response were obtained according to the second order differential equation of ground motion for non-classically dynamic system.The mean value and variance of random seismic peak response were derived by peak factor and variation coefficient.The interval estimation method of random seismic peak response for non-classically dynamic system under earthquake fortification level is proposed.The maximum time history responses are studied by 31 actual ground records.The mean value of maximum responses is in accordance with that of random seismic peak response.The availability and reasonableness of the method were examined by typical examples.The interval estimation method could be an important method for seismic design in the future.
The seismic random model of ground motion under earthquake fortification level was given based on the new seismic code.The close forms of complex mode time history response and random seismic response were obtained according to the second order differential equation of ground motion for non-classically dynamic system.The mean value and variance of random seismic peak response were derived by peak factor and variation coefficient.The interval estimation method of random seismic peak response for non-classically dynamic system under earthquake fortification level is proposed.The maximum time history responses are studied by 31 actual ground records.The mean value of maximum responses is in accordance with that of random seismic peak response.The availability and reasonableness of the method were examined by typical examples.The interval estimation method could be an important method for seismic design in the future.
引文
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[14]李刚,程耿东.基于性能的结构抗震设计———理论、方法与应用[M].北京:科学出版社,2004.(LI Gang,CHENG Geng-dong.Performance-based Seismic De-sign of Structure Theory,Method and Application[M].Beijing:Science Press,2004.(in Chinese))
[2]ZHOU X Y,YU R F,DONG D.Complex mode su-perposition algorithm for seismic responses of non-classically damped linear system[J].Journal ofEarthquake Engineering,2004,8(4):597-641.
[3]CLOUGH R W,PENZIEN J.Dynamic of Struc-tures[M].New York:McGraw-Hill,Inc,2nd Edi-tion,1993.
[4]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1995.(OU Jin-ping,WANG Guang-yuan.Random Vibration of Structures[M].Beijing:HigherEducation Press,1995.(in Chinese))
[5]李刚,程耿东.地震作用下钢框架最大弹塑性层间变形的概率统计特性[J].计算力学学报,2003,20(3):255-260.(LI Gang,CHENG Geng-dong.Prob-ability distribution of the elastoplastic maximum storydrift of steel frames subject to earthquake load[J].Chinese Journal of Computational Mechanics,2003,20(3):255-260.(in Chinese))
[6]陈建兵,李杰.杆系结构非线性损伤随机演化分析[J].固体力学学报,2003,24(3):352-358.(CHENJian-bing,LI Jie.Analysis of structural nonlineardamage stochastic evolution[J].Acta Mechanica Sol-ida Sinica,2003,24(3):352-358.(in Chinese))
[7]易平,林家浩,赵岩.线性随机结构的非平稳随机响应变异分析[J].固体力学学报,2002,23(1):93-97.(YI Ping,LIN Jia-hao,ZHAO Yan.Variationanalysis of non-stationary random response of linearrandom structures[J].Acta Mechanica Solida Sini-ca,2002,23(1):93-97.(in Chinese))
[8]KAUL M K.Stochastic characterization of earth-quake through response spectrum[J].EarthquakeEng Struct Dyn,1978,6:497-510.
[9]薛素铎,王雪生,曹资.基于新抗震规范的地震动随机模型参数研究[J].土木工程学报,2003,36(5):5-10.(XUE Su-duo,WANG Xue-sheng,Cao Zi.Parameters study on seismic random model based onthe new seismic code[J].China Civil EngineeringJournal,2003,36(5):5-10.(in Chinese))
[10]刘文锋,李建峰.消能减震结构设计计算精度的比较研究[J].工业建筑,2004,34(10):77-80.(LIU Wen-feng,LI Jian-feng.Comparative study on design cal-culation accuracy structure with energy dissipationdevices[J].Industrial Construction,2004,34(10):77-80.(in Chinese))
[11]方同.工程随机振动[M].北京:国防工业出版社,1995.(FANG Tong.Engineering Random Vibration[M].Beijing:Defense Industry Press,1995.(in Chi-nese))
[12]李杰,李建华.地震动反应谱变异系数分析[J].地震工程与工程振动,2004,24(2):36-41.(LI Jie,LI Jian-hua.Analysis on the variation coefficient ofresponse spectra of earthquake ground motions[J].Earthquake Engineering and Engineering Vibra-tion,2004,24(2):36-41.(in Chinese))
[13]王光远,程耿东,邵卓民,等.抗震结构的最优设防烈度与可靠度[M].北京:科学出版社,1999.(WANG Guang-yuan,CHENG Geng-dong,SHAOZhuo-min,et al.Optimal Fortification Intensityand Reliability of Aseismic Structures[M].Beijing:Science Press,1999.(in Chinese))
[14]李刚,程耿东.基于性能的结构抗震设计———理论、方法与应用[M].北京:科学出版社,2004.(LI Gang,CHENG Geng-dong.Performance-based Seismic De-sign of Structure Theory,Method and Application[M].Beijing:Science Press,2004.(in Chinese))
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