水工建筑物设计反应谱人工地震波合成
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摘要
本文采用传统的三角级数法合成人工地震波。鉴于求解周期接近时间步长的简谐振动的响应时,数值解会产生很大的误差,为此本文提出理论解和数值解相结合的方法应用于幅值谱修正中各频率分量对反应谱贡献的计算,确保了幅值谱大小调整的正确性,提高了人工地震波迭代计算的数值稳定性和收敛性。此外,本文在已有的人工地震波合成研究的基础上,对迭代过程中产生的地震波进行最小二乘法校正,并对校正后的标准地震波进行归一化处理。最后,以福建仙游抽水蓄能电站面板堆石坝为例,应用本文的方法合成的人工地震波既能满足水工设计反应谱拟合的精度要求,又能满足峰值加速度的设计要求,同时消除了人工地震波速度、位移时程的漂移现象。
This paper presents a trigonometric series method to synthesize simulated earthquake waves.In this method,theoretical and numerical solutions are combined to calculate the contribution of each frequency component to response spectrum used for amplitude spectrum correction to reduce numerical errors in solving simple harmonic motions with periods close to the numerical time step.Least square method is used to regulate earthquake waves generated in the iterative process,and the corrected standard earthquake waves are normalized.The method can ensure the accuracy of amplitude spectrum adjustment and improve numerical stability and convergence in the iteration of simulated earthquake wave computation.Application of the method to the concrete faced rockfill dam of Fujian Xianyou pumped storage power station shows that the synthesized earthquake waves meets the accuracy requirement of response spectrum in hydraulic structure design and the design requirement of peak acceleration,while eliminating the shifts in time developments of velocity and displacement of the simulated earthquake waves.
This paper presents a trigonometric series method to synthesize simulated earthquake waves.In this method,theoretical and numerical solutions are combined to calculate the contribution of each frequency component to response spectrum used for amplitude spectrum correction to reduce numerical errors in solving simple harmonic motions with periods close to the numerical time step.Least square method is used to regulate earthquake waves generated in the iterative process,and the corrected standard earthquake waves are normalized.The method can ensure the accuracy of amplitude spectrum adjustment and improve numerical stability and convergence in the iteration of simulated earthquake wave computation.Application of the method to the concrete faced rockfill dam of Fujian Xianyou pumped storage power station shows that the synthesized earthquake waves meets the accuracy requirement of response spectrum in hydraulic structure design and the design requirement of peak acceleration,while eliminating the shifts in time developments of velocity and displacement of the simulated earthquake waves.
引文
[1]盛志刚,张楚汉,王光纶,等.拱坝横缝非线性动力响应的模型试验和计算分析[J].水力发电学报,2003,22(1):34-43.SHENG Zhigang,ZHANG Chuhan,WANG Guanglun,et al.Shaking table tests and numerical analysis for nonlinear seismic behavior of an arch dam model with contraction joints[J].Journal of Hydroelectric Engineering,2003,22(1):34-43.(in Chinese)
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[7]陈厚群.水工建筑物的场址设计反应谱[J].土木建筑与环境工程,2010,32(增刊2):184-188.CHEN Houqun.Site design response spectrum of hydraulic structures[J].Journal of Civil,Architectural and Environmental Engineering,2010,32(supplement2):184-188.(in Chinese)
[8]翟希梅,吴知丰.人工地震波反应谱拟合技术的改进[J].哈尔滨工业大学学报,1995,27(6):130-133.ZHAI Ximei,WU Zhifeng.Improvement in the fitting technology of response spectra for simulated earthquake wave[J].Journal of Harbin Institute of Technology,1995,27(6):130-133.(in Chinese)
[9]牛志国,李同春,崔绍峰,等.基于水工标准反应谱的人工地震动合成及其校正[J].三峡大学学报(自然科学版),2006,28(6):513-517.NIU Zhiguo,LI Tongchun,CUI Shaofeng,et al.The synthesis and correction of simulated earthquake wave on hydraulic design response spectrum[J].Journal of China Three Gorges University(Natural Sciences),2006,28(6):513-517.(in Chinese)
[10]牛志国,李同春,王亚莉.基于水工设计反应谱的人工地震波合成[J].河海大学学报(自然科学版).2007.35(3):262-266.NIU Zhiguo,LI Tongchun,WANG Yali.Synthesis of simulated earthquake waves based on hydraulic design response spectrum[J].Journal of Hohai University(Natural Sciences),2007,35(3):262-266.(in Chinese)
[2]Scanlan R H,Sachs.Earthquake time histories and response spectra[J].Eng.Mech.Div.EM4,1974,635-655.
[3]胡聿贤,何训.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动,1986,6(2):37-51.HU Yuxian,HE Xun.Phase angle consideration in generating response spectrum-compatible ground motion[J].Earthquake Engineering and Engineering Vibration,1986,6(2):37-51.(in Chinese)
[4]吴育才,黄宗明,王金海.单层厂房震例及其应用[M].济南:山东科学技术出版社,1991:63-66.WU Yucai,HUANG Zongming,WANG Jinhai.Earthquake damage examples and application of single-layer plant[M].Ji-nan:Shandong Science and Technology Press,1991:63-66.(in Chinese)
[5]陈永祁,刘锡荟,龚思礼.拟合标准反应谱的人工地震波[J].建筑结构学报,1981,2(4):34-42.CHEN Yongqi,LIU Xihui,GONG Sili.The artificial earthquake ground motions compatible with standard response spectra[J].Journal of Building Structures,1981,2(4):34-42.(in Chinese)
[6]霍俊荣.近场强地面运动的衰减规律[D].哈尔滨:国家地震局工程力学研究所,1989.HUO Junrong.Near-field strong ground motion attenuation law[D].Harbin:The State Bureau of Seismology,1989.(in Chinese)
[7]陈厚群.水工建筑物的场址设计反应谱[J].土木建筑与环境工程,2010,32(增刊2):184-188.CHEN Houqun.Site design response spectrum of hydraulic structures[J].Journal of Civil,Architectural and Environmental Engineering,2010,32(supplement2):184-188.(in Chinese)
[8]翟希梅,吴知丰.人工地震波反应谱拟合技术的改进[J].哈尔滨工业大学学报,1995,27(6):130-133.ZHAI Ximei,WU Zhifeng.Improvement in the fitting technology of response spectra for simulated earthquake wave[J].Journal of Harbin Institute of Technology,1995,27(6):130-133.(in Chinese)
[9]牛志国,李同春,崔绍峰,等.基于水工标准反应谱的人工地震动合成及其校正[J].三峡大学学报(自然科学版),2006,28(6):513-517.NIU Zhiguo,LI Tongchun,CUI Shaofeng,et al.The synthesis and correction of simulated earthquake wave on hydraulic design response spectrum[J].Journal of China Three Gorges University(Natural Sciences),2006,28(6):513-517.(in Chinese)
[10]牛志国,李同春,王亚莉.基于水工设计反应谱的人工地震波合成[J].河海大学学报(自然科学版).2007.35(3):262-266.NIU Zhiguo,LI Tongchun,WANG Yali.Synthesis of simulated earthquake waves based on hydraulic design response spectrum[J].Journal of Hohai University(Natural Sciences),2007,35(3):262-266.(in Chinese)
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