用于窄带叠加人工时程模拟的一种窄带构造算法
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摘要
提出一种窄带构造算法,用于同时满足反应谱和功率谱匹配要求的窄带叠加人工地震波模拟。新型窄带基于正态分布函数和三角函数构造,在具有局部窄带性质的同时,保证窄带两边迅速衰减,同时带宽可以控制。在使用新型窄带叠加包络反应谱的基础上,使用幅频局部微调算法匹配功率谱密度。数值算例表明,该方法得到的人工地震时程对目标反应谱拟合精度较高,且能满足对目标功率谱密度的包络要求。
In this paper,a new type of narrow-band function is proposed for the artificial history simulation method based on narrow-band superposition,which aims to meet the needs of both fitting of the target response spectrum and envelop of the power spectral density.The new narrow-band function is based on the normal distribution function and trigonometric functions.Its band width can be controlled and it decays rapidly on both sides.While the target response spectrum is fitted by superimposing the new narrow-band time history,the power spectral density is enveloped by modifying the Fourier amplitude spectrum locally.The numerical example demonstrates that not only the artificial time history generated by this algorithm reaches high matching precision to the target response spectrum,but also the corresponding calculated power spectrum envelopes the target power spectrum.
In this paper,a new type of narrow-band function is proposed for the artificial history simulation method based on narrow-band superposition,which aims to meet the needs of both fitting of the target response spectrum and envelop of the power spectral density.The new narrow-band function is based on the normal distribution function and trigonometric functions.Its band width can be controlled and it decays rapidly on both sides.While the target response spectrum is fitted by superimposing the new narrow-band time history,the power spectral density is enveloped by modifying the Fourier amplitude spectrum locally.The numerical example demonstrates that not only the artificial time history generated by this algorithm reaches high matching precision to the target response spectrum,but also the corresponding calculated power spectrum envelopes the target power spectrum.
引文
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[2]赵凤新,张郁山.人造地震动反应谱拟合的窄带时程叠加法[J].工程力学,2007,24(4):87-91.
[3]王海涛,何树延,张征明,等.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[J].核动力工程,2009,30(1):112-115.
[4]张郁山,赵凤新.包络目标功率谱的人工地震动合成方法研究[J].核动力工程,2010,31(4):96-100.
[5]Tsai N C.Spectrum-Compatible Motions for DesignPursoses[J].Eng Mech Div,1972,98(2):345-356.
[6]赵凤新,张郁山.拟合峰值速度与目标反应谱的人造地震动[J].地震学报,2006,28(4):429-437.
[7]Scanlan R,Sachs H K.Earthquake Time Histories andResponse Spectra[J].Eng Mech Div,1974,100(4):635-655.
[8]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.
[9]GB50267-97,核电厂抗震设计规范[S].
[10]ASCE 4-2000,Seismic Analysis of Safety-RelatedNuclear Structures and Commentary[S].
[2]赵凤新,张郁山.人造地震动反应谱拟合的窄带时程叠加法[J].工程力学,2007,24(4):87-91.
[3]王海涛,何树延,张征明,等.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[J].核动力工程,2009,30(1):112-115.
[4]张郁山,赵凤新.包络目标功率谱的人工地震动合成方法研究[J].核动力工程,2010,31(4):96-100.
[5]Tsai N C.Spectrum-Compatible Motions for DesignPursoses[J].Eng Mech Div,1972,98(2):345-356.
[6]赵凤新,张郁山.拟合峰值速度与目标反应谱的人造地震动[J].地震学报,2006,28(4):429-437.
[7]Scanlan R,Sachs H K.Earthquake Time Histories andResponse Spectra[J].Eng Mech Div,1974,100(4):635-655.
[8]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.
[9]GB50267-97,核电厂抗震设计规范[S].
[10]ASCE 4-2000,Seismic Analysis of Safety-RelatedNuclear Structures and Commentary[S].
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