基于小生境遗传算法的设计地震动反应谱标定方法
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摘要
基于小生境遗传算法,提出了新的设计地震动反应谱标定方法,给出了反应谱标定的验证方法。设计地震动反应谱特征参数包括地震动峰值、第一拐点周期、第二拐点周期(特征周期)、平台高度值及衰减指数等,其标定属于多参数优化问题。利用小生境遗传算法具有多参数的全局寻优能力,提出了以平均标准差最小为目标的地震动反应谱标定模型。拟合给定特征参数的设计地震动反应谱,对比分析标定的特征参数与给定的特征参数,要求两者之间的误差小于给定的精度,以此作为新的验证方法。以某一场地计算反应谱作为算例,采用所提出的模型对其进行了标定。通过验证结果和工程算例,证明了所提出的地震动反应谱标定方法的有效性。
A new method,niche genetic algorithm(NGA),is adopted to calibrate the seismic response spectra and a verification standard for calibrating the seismic response spectra is proposed.The characteristic parameters of seismic response spectra include the peak of ground motion,the first turning point of spectrum,the second turning point of spectrum,the flat height of spectrum and the attenuation index,and so on,and therefore the calibration of the seismic response specta is a problem of multi-parameter optimization.NGA,with the ablitity of global optimization of multi-parameter,is used to solve this problem,aiming at the least mean standard error of spectral values at appointed periods.A new verification method proposed is that the seismic response spectra with given characteristic parameters are used to verify the effectiveness of the method,that is,the seismic response spectra with given characteristic parameters are calibrated and the errors between the calibrated characteristic parameters and the given ones are smaller than the appointed precision.Three pieces of the calculated response spectra for one real site are calibrated as an application example.The obtained results show the effectiveness and efficiency of the proposed method.
A new method,niche genetic algorithm(NGA),is adopted to calibrate the seismic response spectra and a verification standard for calibrating the seismic response spectra is proposed.The characteristic parameters of seismic response spectra include the peak of ground motion,the first turning point of spectrum,the second turning point of spectrum,the flat height of spectrum and the attenuation index,and so on,and therefore the calibration of the seismic response specta is a problem of multi-parameter optimization.NGA,with the ablitity of global optimization of multi-parameter,is used to solve this problem,aiming at the least mean standard error of spectral values at appointed periods.A new verification method proposed is that the seismic response spectra with given characteristic parameters are used to verify the effectiveness of the method,that is,the seismic response spectra with given characteristic parameters are calibrated and the errors between the calibrated characteristic parameters and the given ones are smaller than the appointed precision.Three pieces of the calculated response spectra for one real site are calibrated as an application example.The obtained results show the effectiveness and efficiency of the proposed method.
引文
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[10]牟在根,梁杰,隋军,等.基于小生境遗传算法的单层网壳结构优化设计研究[J].建筑结构学报,2006,27(2):115–119.(MOU Zai-gen,LIANG Jie,SUI Jun,et al.Study of optimum design of single layer dome structures based on niche genetic algorithm[J].Chinese Journal of Building Structures,2006,27(2):115–119.(in Chinese))
[11]GOLDBERG D E.Genetic algorithms in search,optimization and machine learning[M].New York:Addison-Wesley Publishing Company,Inc,1989.
[2]廖振鹏,李大华.设计地震反应谱的双参数标定模型[M]//地震小区划——理论与实践.北京:地震出版社,1989:196–206.(LIAO Zhen-peng,LI Da-hua.An empirical model for scaling design earthquake response spectra[M]//Seismic Microzonation—Theory and Practice.Beijing:Seismic Publishing House,1989:196–206.(in Chinese))
[3]薄景山,李秀领,刘红帅.土层结构对地表加速度峰值的影响[J].地震工程与工程振动,2003,23(3):35–40.(BO Jing-shan,LI Xiu-ling,LIU Hong-shuai.Effects of soil layer construction on peak accelerations of ground motions[J].Earthquake Engineering and Engineering Vibration,2003,23(3):35–40.(in Chinese))
[4]孙锐,袁晓铭.液化土层地震动特征分析[J].岩土工程学报,2004,26(5):684–690.(SUN Rui,YUAN Xiao-ming.Analysis of feature surface ground motion for liquefied soil layer[J].Chinese Journal of Ceotechnical Engineering,2004,26(5):684–690.(in Chinese))
[5]王国新,陶夏新,姜海燕.反应谱特征参数的提取及其变化规律研究[J].世界地震工程,2001,17(2):73–78.(WANG Guo-xin,TAO Xia-xin,JIANG Hai-yan.Extraction and study of response spectrum[J].Chinese Journal of World Earthquake Engineering,2001,17(2):73–78.(in Chinese))
[6]卢寿德.GB17741-2005《工程场地地震安全性评价》宣贯教材[M].北京:中国标准出版社,2006.(LU Shou-de.Propagandizing and teaching materials of“Evaluation of seismic safety for engineering sites”[M].Beijing:Standard Press of China,2006.(in Chinese))
[7]云庆夏.进化算法[M].北京:冶金工业出版社,2000.(YUN Qing-xia.Evolution algorithm[M].Beijing:Metallurgical Industry Press,2006.(in Chinese))
[8]夏江,陈清军.基于遗传算法的设计反应谱标定方法[J].力学季刊,2006,27(2):317–322.(XIA Jiang,CHEN Qing-jun.Calibrating method of seismic response spectrum based on genetic algorithm[J].Chinese Quarterly of Mechanics,2006,27(2):317–322.(in Chinese))
[9]李小军,彭青,刘文忠.设计地震动参数确定中的场地影响考虑[J].世界地震工程,2001,17(4):34–41.(LI Xiao-jun,PENG Qing,LIU Wen-zhong.Consideration of site effects for determination of design earthquake ground motion parameters[J].Chinese Journal of World Information on Earthquake Engineering,2001,17(4):34–41.(in Chinese))
[10]牟在根,梁杰,隋军,等.基于小生境遗传算法的单层网壳结构优化设计研究[J].建筑结构学报,2006,27(2):115–119.(MOU Zai-gen,LIANG Jie,SUI Jun,et al.Study of optimum design of single layer dome structures based on niche genetic algorithm[J].Chinese Journal of Building Structures,2006,27(2):115–119.(in Chinese))
[11]GOLDBERG D E.Genetic algorithms in search,optimization and machine learning[M].New York:Addison-Wesley Publishing Company,Inc,1989.
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