隔震结构基于功率谱密度函数法的楼层反应谱分析
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摘要
采用锥体模型求得地基基础阻抗函数,推导出非结构构件(NSC)的绝对加速度传递函数,利用随机振动理论,通过功率谱密度函数法(PSDF)建立楼层反应谱(FRS),并和人工合成地震波分析所得结果进行了对比。研究结果表明,PSDF法用较少计算量就可以得到相当准确的FRS,同时能与现行抗震规范很好的相结合。基础隔震结构NSC的峰值反应主要出现在隔震频率附近的低频段,增加隔震装置后土-结构相互作用(SSI)出现不同程度的削弱,在隔震频率段最为显著。
The transfer function of absolute acceleration response of non-structure component(NSC) supported on a base-isolated structure was presented.The base flexibility was assumed to be described by complex-valued impedance function calculated by cone model.The proposed formulation was used to generate the FRS by power spectrum density function(PSDF) according to random vibration theory,which was then compared with the FRS obtained by the time history analysis.The results show that the method of PSDF provides satisfying FRS with far less effort and has good agreement with current seismic code.The peak acceleration of NSC appears in low frequency band(near base-isolated frequency),and the use of base-isolated device may weaken the effect of soil-structure interaction(SSI),especially in the base-isolated frequency band.
The transfer function of absolute acceleration response of non-structure component(NSC) supported on a base-isolated structure was presented.The base flexibility was assumed to be described by complex-valued impedance function calculated by cone model.The proposed formulation was used to generate the FRS by power spectrum density function(PSDF) according to random vibration theory,which was then compared with the FRS obtained by the time history analysis.The results show that the method of PSDF provides satisfying FRS with far less effort and has good agreement with current seismic code.The peak acceleration of NSC appears in low frequency band(near base-isolated frequency),and the use of base-isolated device may weaken the effect of soil-structure interaction(SSI),especially in the base-isolated frequency band.
引文
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[4]李忠献,梁万顺,等.考虑地基土参数不确定性和土-结构相互作用效应的核电厂结构随机地震反应分析[J].核动力工程,2006,27(2):30-35.
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[7]Gupta V K.Developments in Response Spectrum-Based Sto-chastic Response of Structural Systems[J]ISET.Earthq.Tech.,2002,39,(4):347-365.
[8]Wolf J P著,土-结构动力相互作用[M].吴世明,唐有职译.北京:地震工程出版社,1989.
[9]方同.工程随机振动[M].北京:国防工业出版社,1995.
[10]Wolf J P.Foundation vibration analysis using simple physicalmodels.[M]Englewood Cliffs,NJ:Prentice-Hall;1994.
[11]Montaldo V,Kiremidjian A S,Thrainsson H,et al.Simula-tion of the Fourier phase spectrum for the generation of syn-thetic acelerograms[J].Journal of Earthquake Engineering,2003,7(3):427-445.
[2]Samit Ray Chaudhuri,Vinay K.Gupta.Mode acceleration ap-proach for generation of floor spectra including soil-structureinteraction.Journal of Earthquake Technology,ISET[J].Earthq.Tech,40(2-4),99-115.
[3]周福霖,著,工程结构减震控制[M].北京:地震出版社,1997.
[4]李忠献,梁万顺,等.考虑地基土参数不确定性和土-结构相互作用效应的核电厂结构随机地震反应分析[J].核动力工程,2006,27(2):30-35.
[5]Robin K,et a1.Newseismic design spectra for nuclear powerplants[J].Nuclear Engineering and Design,200l,203:249-257.
[6]Aleksandar P,Stefanie R.Deterministic and probabilisticfloor response spectra[J].Soil Dynamics and EarthquakeEngineering,2003,23(7):605-618.
[7]Gupta V K.Developments in Response Spectrum-Based Sto-chastic Response of Structural Systems[J]ISET.Earthq.Tech.,2002,39,(4):347-365.
[8]Wolf J P著,土-结构动力相互作用[M].吴世明,唐有职译.北京:地震工程出版社,1989.
[9]方同.工程随机振动[M].北京:国防工业出版社,1995.
[10]Wolf J P.Foundation vibration analysis using simple physicalmodels.[M]Englewood Cliffs,NJ:Prentice-Hall;1994.
[11]Montaldo V,Kiremidjian A S,Thrainsson H,et al.Simula-tion of the Fourier phase spectrum for the generation of syn-thetic acelerograms[J].Journal of Earthquake Engineering,2003,7(3):427-445.
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