同时满足反应谱匹配和功率谱密度包络要求的人工时程生成算法
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摘要
人工时程是核电站反应堆厂房楼层反应谱计算的关键输入数据。采用单组人工时程分析法不仅需要匹配目标反应谱,而且要满足功率谱密度的包络要求。本文提出同时满足目标反应谱匹配和功率谱密度包络要求的人工时程生成算法。该方法在分别与目标反应谱和功率谱密度对应的有效频率带宽内调整傅立叶幅值谱,并通过迭代达到要求。数值算例表明,该算法得到的人工时程在对目标反应谱拟合精度较高的同时,满足对功率谱密度的包络要求。
Artificial time histories are key data inputs for the calculation of floor spectra of the contain-ment building in nuclear power plants. The application of the single-ground-motion analysis method shall meet the requirements of envelop of the power spectral density as well as fitting of the target response spec-trum. This paper presents a generation algorithm of artificial time histories in order to meet the needs of both fitting of the target response spectrum and envelop of the power spectral density. The Fourier amplitude spec-trum is modified within the effective frequency bandwidths defined for the target response spectrum and power spectral density respectively in this algorithm, and iterations are used in order to meet the correspond-ing requirements. The numerical examples demonstrate that the artificial time history generated by this algo-rithm reaches high fitting precisions to the target response spectrum and meets the need of envelop of the power spectral density.
Artificial time histories are key data inputs for the calculation of floor spectra of the contain-ment building in nuclear power plants. The application of the single-ground-motion analysis method shall meet the requirements of envelop of the power spectral density as well as fitting of the target response spec-trum. This paper presents a generation algorithm of artificial time histories in order to meet the needs of both fitting of the target response spectrum and envelop of the power spectral density. The Fourier amplitude spec-trum is modified within the effective frequency bandwidths defined for the target response spectrum and power spectral density respectively in this algorithm, and iterations are used in order to meet the correspond-ing requirements. The numerical examples demonstrate that the artificial time history generated by this algo-rithm reaches high fitting precisions to the target response spectrum and meets the need of envelop of the power spectral density.
引文
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[2]Tsai N C.Spectrum-Compatible Motions for Design Pur-poses[J].Eng Mech Div,ASCE,1972,98[2]:345～356.
[3]Scanlan R,Sachs H K.Earthquake Time Histories andResponse Spectra[J].Eng Mech Div,ASCE,1974,100[4]:635～655.
[4]江近仁,洪峰.功率谱与反应谱的转换和人造地震波[J].地震工程与工程振动,1984,4[3]:1～11.
[5]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.
[6]刘鹏程,林皋,金春山.考虑地震环境的人造地震动合成方法[J].地震工程与工程振动,1992,12[4]:9～15.
[7]张伯艳,陈厚群,胡晓.合成人造地震动的非线性解法[J].水利水电技术,2000,31[7]:13～16.
[8]赵凤新,张郁山.拟合峰值速度与目标反应谱的人造地震动.地震学报,2006,28[4]:429～437.
[9]赵凤新,张郁山.人造地震动反应谱拟合的窄带时程叠加法.工程力学,2007,24[4]:87～91.
[10]ASCE4-2000,Seismic Analysis of Safety-Related Nu-clear Structures and Commentary.American Society of Civil Engineers[S].
[11]赵凤新,刘爱文.地震动功率谱与反应谱的转换关系[J].地震工程与工程振动,2001,21[2]:30～35.
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