基于Newmark滑块系统能量分析的地震永久位移计算方法
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摘要
对具有摩擦型接触面的经典Newmark双滑块系统进行分析,给出单周期简谐激励下最大相对滑移量的近似解析式,进一步分析发现,接触面最大相对滑移量对应的能量传递系数e/(ky/ka)与ky/ka存在近似线性关系;拟合86条地震波作用下的338个地震永久位移计算结果,得到e/(ky/ka)与ky/ka的线性表达式,给出地震永久位移的简化计算公式.公式基于较严格的理论推导,同时考虑了地震波的随机特性,是发展经典Newmark理论的新思路;与其他学者建议的公式对比表明,本文公式计算结果合理、形式简单而便于工程应用.
Classic Newmark double-sliding block system with friction interface was analyzed and an approximate analytical solution was given for the maximum relative sliding displacement under a single harmonic excitation.It was found by further analysis that there was an approximate linear relationship between the earthquake input energy coefficient e/(ky/ka) and(ky/ka) when the relative displacement in the interface became the maximum.86 curve fitting was performed for 338 earthquake-induced permanent displacement data,so that the linear expression of e/(ky/ka) with respect to(ky/ka) was obtained,and a simplified formula was given for predicting the earthquake-induced permanent displacement.The formula was derived on a relatively strict theoretical basis and the stochastic characteristics of seismic wave was taken into account so that it is a new idea to develop the classic Newmark theory.Compared with other earthquake-induced permanent displacement formulas in literature,the calculation results using the proposed formula was reasonable and could be easily used in practice.
Classic Newmark double-sliding block system with friction interface was analyzed and an approximate analytical solution was given for the maximum relative sliding displacement under a single harmonic excitation.It was found by further analysis that there was an approximate linear relationship between the earthquake input energy coefficient e/(ky/ka) and(ky/ka) when the relative displacement in the interface became the maximum.86 curve fitting was performed for 338 earthquake-induced permanent displacement data,so that the linear expression of e/(ky/ka) with respect to(ky/ka) was obtained,and a simplified formula was given for predicting the earthquake-induced permanent displacement.The formula was derived on a relatively strict theoretical basis and the stochastic characteristics of seismic wave was taken into account so that it is a new idea to develop the classic Newmark theory.Compared with other earthquake-induced permanent displacement formulas in literature,the calculation results using the proposed formula was reasonable and could be easily used in practice.
引文
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[2]孔宪京,刘君,韩国城,等.混凝土面板堆石坝地震反应分析的剪切梁法[J].水利学报,2000(7):55-59.
[3]MAKDISI FI,SEED H B.Si mplified procedure for esti matingdam and embankment earthquake-induced deformation[J].J Geotech Engrg Div,ASCE,1978,104(7):849-867.
[4]倪汉根,金崇磐.大坝抗震特性与抗震计算[M].大连:大连理工大学出版社,1994.
[5]BRAYJ D,AUGELLO AJ,REPETTO P C,et al.Seismic sta-bility procedures for solid-waste landfills[J].J Geotech En-grg,ASCE,1995,121(2):139-151.
[6]KOHUSHO T,ISHIZAWA T.Energy approach for earth-quake induced slope failure evaluation[J].Soil Dynamics andEarthquake Engineering,2006,26:221-230.
[7]YEGI AN M K,MARCI ANO E A,GHAHRAMAN V G.Inte-grated seismic risk analysis for earth dams,No.CE-88-15[R].Boston:Northeastern University,1988.
[8]钱家欢,殷宗泽.土工原理与计算[M].北京:中国水利水电出版社,1996.
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