强震作用下重力坝考虑辐射阻尼的一种简单模型
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摘要
提出一种在强震作用下重力坝考虑地基辐射阻尼效应的动力反应的简单模型,该模型在无质量地基模型的坝体-地基交接面设置黏性阻尼器,并通过大量的计算统计确定阻尼器的系数。计算了100m级和200m级重力坝在不同频谱地震、不同地基弹性模量条件下的地震响应,结果表明,简单模型和弹簧-阻尼边界模型结果接近,误差在8%内。
A simple model considering radiation damping is presented to analyze seismic response of gravity dams.Viscous dampers are installed on the dam-foundation interface in the massless foundation model and the damper coefficients are determined by statistical calculations with various parameters.The effects of different spectral earthquakes,different dam heights and variable ratio of the modulus of elasticity between the foundation and the dam concrete are considered.The results show that the dam response,including displacements and stresses,using the simple model have sufficient accuracy compared with that obtained from the viscous-spring boundary model.
A simple model considering radiation damping is presented to analyze seismic response of gravity dams.Viscous dampers are installed on the dam-foundation interface in the massless foundation model and the damper coefficients are determined by statistical calculations with various parameters.The effects of different spectral earthquakes,different dam heights and variable ratio of the modulus of elasticity between the foundation and the dam concrete are considered.The results show that the dam response,including displacements and stresses,using the simple model have sufficient accuracy compared with that obtained from the viscous-spring boundary model.
引文
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[9]杜修力,陈厚群,候顺载.拱坝-地基系统的三维非线性地震反应分析[J].水利学报,1997(8):7-14.
[10]Yan J Y,Jin F,Zhang C H.A Finite Element-Scaled Boundary Finite Element Coupling for Soil-StructureInteractions[C]∥Computational Mechanics,WCCM VI in conjunction with APCOM’04.Beijing,China 2004.
[11]Lin G,Hu Z Q.Earthquake safety assessment of concrete arch and gravity dams[J].Earthquake Engineering andEngineering Vibration,2005,4(2):251-264.
[12]Song C,Wolf J P.The scaled boundary finite-element method-alias consistent infinitesimal finite-element cellmethod-for elastodynamics[J].Comput.Mech.Appl.Mech.Engng.,1997,147:329-355.
[13]陈建云,李健波,林皋,等.结构–地基动力相互作用时域数值分析的显–隐式分区异步长递归算法[J].岩石力学与工程学报,2007.26(12):2481-2487.
[14]Song C,Wolf J P.Dynamic stiffness of unbounded medium based on damping-solvent extraction[J].EarthquakeEngineering and Structural Dynamics,1994,23(2):169-181.
[15]Wolf J P.Simple physical models for foundation dynamics[C]∥Dynamic Soil-Structure Interaction-Proceeding ofthe Chinese-Swiss Workshop on Dynamic Soil-Structure Ineraction.Beijing,China:International Academic Publishers.1997:1-70.
[2]Dominguez J,Maeso O.Model for the seismic analysis of arch dams including interaction effects[C]∥Proc.10thWorld Conf.Earthquake Eng.,Madrid,1992:4601-4606.
[3]Chopra A K,Tan H.Modeling dam-foundation interaction in analysis of arch dams[C]∥Proc.10th World Conf.Earthquake Eng.,Madrid,1992:4623-4626.
[4]Deeks A J,Randolph M F.Axisymmetric time-domain transmitting boundary[J].Journal of EngineeringMechanics,1994,120(1):25-42.
[5]Liu J B,Lu Y D.A direct method for analysis of dynamic soil-structure interaction based on interface idea[C]∥Dynamic Soil-Structure Interaction-Proceeding of the Chinese-Swiss Workshop on Dynamic Soil-StructureIneraction.Beijing,China:International Academic Publishers,1997:258-273.
[6]杜修力,赵密.基于黏弹性边界的拱坝地震反应分析方法[J].水利学报,2006,37(9):1063-1069.
[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.
[8]Zhang C H,Jin F,Pekau O A.Time domain procedure of FE-BE-IBE coupling for seismic interaction of arch damsand canyon[J].Earthquake Engineering and Structural Dynamic,1995,24:1651-1666.
[9]杜修力,陈厚群,候顺载.拱坝-地基系统的三维非线性地震反应分析[J].水利学报,1997(8):7-14.
[10]Yan J Y,Jin F,Zhang C H.A Finite Element-Scaled Boundary Finite Element Coupling for Soil-StructureInteractions[C]∥Computational Mechanics,WCCM VI in conjunction with APCOM’04.Beijing,China 2004.
[11]Lin G,Hu Z Q.Earthquake safety assessment of concrete arch and gravity dams[J].Earthquake Engineering andEngineering Vibration,2005,4(2):251-264.
[12]Song C,Wolf J P.The scaled boundary finite-element method-alias consistent infinitesimal finite-element cellmethod-for elastodynamics[J].Comput.Mech.Appl.Mech.Engng.,1997,147:329-355.
[13]陈建云,李健波,林皋,等.结构–地基动力相互作用时域数值分析的显–隐式分区异步长递归算法[J].岩石力学与工程学报,2007.26(12):2481-2487.
[14]Song C,Wolf J P.Dynamic stiffness of unbounded medium based on damping-solvent extraction[J].EarthquakeEngineering and Structural Dynamics,1994,23(2):169-181.
[15]Wolf J P.Simple physical models for foundation dynamics[C]∥Dynamic Soil-Structure Interaction-Proceeding ofthe Chinese-Swiss Workshop on Dynamic Soil-Structure Ineraction.Beijing,China:International Academic Publishers.1997:1-70.
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