等效三维一致黏弹性边界单元及其在拱坝抗震分析中的应用
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摘要
基于大型结构分析软件ADINA,提出了等效三维一致黏弹性人工边界单元以及在该边界上实现波动输入的方法和技术。将其应用于国内某高拱坝的坝体-地基-库水系统的地震反应分析,研究大坝在三向地震荷载作用下的动力响应,并与传统无质量地基模型的计算结果进行对比。结果表明地基辐射阻尼有效降低了坝体的地震响应,该方法应用方便且具有良好的计算精度和稳定性。
This paper proposes a 3D consistent equivalent viscoelasticity artificial boundary element for the applicaiton of software ADINA of large structure analysis and a technique of wave motion input to this element.This type of elements is used to analyze the seismic response of an arch dam in China under 3D earthquake loads with consideration of dam-foundation-water dynamic interaction.The results show that compared with a massless foundaiton model the radiation damping can effectively reduce the seismic dam response and that this simple method can improve the accuracy and stability.
This paper proposes a 3D consistent equivalent viscoelasticity artificial boundary element for the applicaiton of software ADINA of large structure analysis and a technique of wave motion input to this element.This type of elements is used to analyze the seismic response of an arch dam in China under 3D earthquake loads with consideration of dam-foundation-water dynamic interaction.The results show that compared with a massless foundaiton model the radiation damping can effectively reduce the seismic dam response and that this simple method can improve the accuracy and stability.
引文
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[5]廖振鹏.工程波动理论导论(第二版)[M].北京:科学出版社,2002.LIAO Zhenpeng.Introduction to wave motion theories for engineering(the second edition)[M].Beijing:Science Press,2002.(in Chinese)
[6]傅作新.水工结构力学问题的分析与计算[M].南京:河海大学出版社,1993.FU Zuoxin.The analysis and calculation on mechanics problems of hydraulic structure[M].Nanjing:Hohai University Press,1993.(inChinese)
[7]刘云贺,张伯艳,陈厚群.拱坝地震输入模型中黏弹性边界与黏性边界的比较[J].水利学报,2006,37(6):758~763.LIU Yunhe,ZHANG Boyan,CHEN Houqun.Comparison of spring-viscous boundary with viscous boundary for arch dam seimic input model[J].Journal of Hydraulic Engineering,2006,37(6):758~763.(in Chinese)
[8]谷音,刘晶波,杜义欣.三维一致黏弹性人工边界及等效黏弹性边界单元[J].工程力学,2007,24(12):31~37.GU Yin,LIU Jingbo,DU Yixin.3D consistent viscous-spring artificial boundary and viscous-spring boundary element[J].EngineeringMechanics,2007,24(12):31~37.(in Chinese)
[9]赵建锋,杜修力,韩强,等.外源波动问题数值模拟的一种实现方式[J].工程力学,2007,24(4):52~58.ZHAO Jianfeng,DU Xiuli,HAN Qiang,et al.An approach to numerical simulation for external source wave motion,2007,24(4):52~58.(in Chinese)
[10]谷音.结构-地基动力相互作用问题高效数值方法研究及工程应用[D].北京:清华大学,2005.GU Yin.Theoretical analysis of the efficient numerical method for soil-structure dynamic interaction and its application[D].Beijing:Tsinghua University,2005.(in Chinese)
[2]Deeks A J,Randolph M F.Axisymmetric time-domain transmitting boundaries[J].Journal of Engineering Mechanics,1994,120(1):25~42.
[3]Clayton R,Engquist B.Absorbing boundary conditions for wave-equation migration[J].Geophysics,1980,45:895~904.
[4]Smith W.A non-reflecing plane boundary for wave propagation problems[J].J.Comp.Phys,1973,15:492~503.
[5]廖振鹏.工程波动理论导论(第二版)[M].北京:科学出版社,2002.LIAO Zhenpeng.Introduction to wave motion theories for engineering(the second edition)[M].Beijing:Science Press,2002.(in Chinese)
[6]傅作新.水工结构力学问题的分析与计算[M].南京:河海大学出版社,1993.FU Zuoxin.The analysis and calculation on mechanics problems of hydraulic structure[M].Nanjing:Hohai University Press,1993.(inChinese)
[7]刘云贺,张伯艳,陈厚群.拱坝地震输入模型中黏弹性边界与黏性边界的比较[J].水利学报,2006,37(6):758~763.LIU Yunhe,ZHANG Boyan,CHEN Houqun.Comparison of spring-viscous boundary with viscous boundary for arch dam seimic input model[J].Journal of Hydraulic Engineering,2006,37(6):758~763.(in Chinese)
[8]谷音,刘晶波,杜义欣.三维一致黏弹性人工边界及等效黏弹性边界单元[J].工程力学,2007,24(12):31~37.GU Yin,LIU Jingbo,DU Yixin.3D consistent viscous-spring artificial boundary and viscous-spring boundary element[J].EngineeringMechanics,2007,24(12):31~37.(in Chinese)
[9]赵建锋,杜修力,韩强,等.外源波动问题数值模拟的一种实现方式[J].工程力学,2007,24(4):52~58.ZHAO Jianfeng,DU Xiuli,HAN Qiang,et al.An approach to numerical simulation for external source wave motion,2007,24(4):52~58.(in Chinese)
[10]谷音.结构-地基动力相互作用问题高效数值方法研究及工程应用[D].北京:清华大学,2005.GU Yin.Theoretical analysis of the efficient numerical method for soil-structure dynamic interaction and its application[D].Beijing:Tsinghua University,2005.(in Chinese)
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