基于时变Kanai-Tajimi模型的爆炸地震动拟合The fitting of explosive ground motion based on time-varying Kanai-Tajimi model
宋浩,陈辉国,钟庭,刘国粹,王苗硕
SONG Hao,CHEN Hui-guo,ZHONG Ting,LIU Guo-cui,WANG Miao-shuo
摘要(Abstract):
借鉴完全非平稳地震动的研究方法,将VLACHOS C提出的完全非平稳时变Kanai-Tajimi模型用于爆炸地震动的拟合。结合实际爆炸地震动对这两种模型进行分析验证,通过比较拟合爆炸地震动与实际爆炸地震动的加速度时间历程曲线、反应谱、强度包线、归一化累积能量以及累积穿零次数,从时域和频域两方面来分析拟合效果,通过研究表明,单峰时变Kanai-Tajimi模型更适合用于爆炸地震动的拟合。
The method of completely non-stationary ground motion was used and the completely non-stationary time-varying Kanai-Tajimi model proposed by Vlachos was applied to the fitting of the explosive ground motion.The two models were analyzed and verified by combining the examples of explosive ground motion.The acceleration time history curve,response spectrum,intensity envelope,normalized cumulative energy and cumulative zero passages of the simulated explosive ground motion and explosive ground motion were compared.The fitting effect was analyzed from both the time domain and the frequency domain.The results showed that the unimodal time-varying Kanai-Tajimi model was more suitable for the fitting of explosive ground motion.
关键词(KeyWords):
爆炸地震动;Kanai-Tajimi模型;时变功率谱;完全非平稳;拟合
explosive ground motion;Kanai-Tajimi model;evolutionary power spectra;completely non-stationary;fitting
基金项目(Foundation): 国家自然科学基金资助项目(51478068)
作者(Author):
宋浩,陈辉国,钟庭,刘国粹,王苗硕
SONG Hao,CHEN Hui-guo,ZHONG Ting,LIU Guo-cui,WANG Miao-shuo
参考文献(References):
- [1]HOUSNER G W.Characteristics of strong motion earthquakes[J].Bulletin of the Seismological Society of America,1947,37(1):19-31.
- [2]KANAI K.Semi-empirical formula for the seismic characteristics of the ground motion[J].Bulletin of the Earthquake Research Institute,University of Tokyo,1957,35(2):309-325.
- [3]TAJIMI H.Statistical method of determining the maximum response of building structure during an earthquake[J].Proc of Wcee,1960(2):781-798.
- [4]胡聿贤,周锡元.地震力统计理论评价[C]//中国科学院土木建筑研究所地震工程研究报告集(第1集),北京:科学出版社,1962:21-32.HU Y X,ZHOU X Y.Theoretical evaluation of statistical on earthquake force[C]//Selected Papers for Earthquake Engineering,Institute of Architecture and Civil Engineering,China Academy of Science Volume 1,Beijing:Science Press,1962:21-32.
- [5]彭凌云,周锡元,李小军.对已有强震地面运动功率谱模型的改进[J].北京工业大学学报,2011,37(3):388-394.PENG L Y,ZHOU X Y,LI X J.Some improvements on exiting power spectral models of strong earthquake ground motion[J].Journal of Beijing University of Technology,2011,37(3):388-394.
- [6]CLOUGH R W,PENZIEN J.Dynamic of structures[M].New York:Mc Graw-Hill,1979:404-406.
- [7]李春祥,翟文杰.改进的Clough-Penzien地震地面运动模型[J].地震工程与工程振动,2003,23(5):53-56.LI C X,ZHAI W J.Modified clough-penzien earthquake ground motion model[J].Earthquake Engineering and Engineering Vibration,2003,23(5):53-56.
- [8]李英民,刘立平,赖明.工程地震动随机功率谱模型的分析与改进[J].工程力学,2008,25(3):43-48.LI Y M,LIU L P,LAI M.Analysis and improvement of power random spectra of strong ground motions for engineering purpose[J].Engineering Mechanics,2008,25(3):43-48.
- [9]杜修力,陈厚群.地震动随机模拟及其参数确定方法[J].地震工程与工程振动,1994,14(4):1-5.DU X L,CHEN H Q.Random simulation and its parameter determination method of earthquake ground motion[J].Earthquake Engineering and Engineering Vibration,1994,14(4):1-5.
- [10]杜修力,胡晓,陈原群.强震地运动随机过程模拟[J].地震学报,1995,17(1):103-109.DU X L,HU X,CHEN Y Q.Random simulation of earthquake ground motion[J].Acta Seismologica Sinica,1995,17(1):103-109.
- [11]YEH C H,WEN Y K.Modeling of nonstationary ground motion and analysis of inelastic structural response[J].Structural Safety,1990,8(1):281-298.
- [12]VLACHOS C,PAPAKONSTANTINOU K G,DEODATIS G.A multi-modal analytical non-stationary spectral model for characterization and stochastic simulation of earthquake ground motions[J].Soil Dynamics&Earthquake Engineering,2016,80:177-191.
- [13]KAMEDA H.Evolutionary spectra of seismogram by multifilter[J].Journal of the Engineering Mechanics Division,1975,101(6):787-801.
- [14]SHINOZUKA M,SATOY.Simulation of non-stationary random process[J].Journal of Engineering Mechanics Division,Proc of ASCE,1967,93(4):11-40.
- [15]RODOLFO S G,HART G C.Simulation of artificial earthquakes[J].Earthquake Engineering&Structural Dynamics,1973,2(3):249-267.
- 爆炸地震动
- Kanai-Tajimi模型
- 时变功率谱
- 完全非平稳
- 拟合
explosive ground motion - Kanai-Tajimi model
- evolutionary power spectra
- completely non-stationary
- fitting