基于Newmark滑块系统能量分析的地震永久位移计算方法  

Calculation method for earthquake-induced permanent displacement based on energy analysis of Newmark model

作　　者：邓学晶[1] 孔宪京[2] 杜永峰[3] 邹德高[2] 

机构地区：[1]中国石油大学(华东)工程力学系,山东东营266555 [2]大连理工大学海岸和近海工程国家重点试验室,辽宁大连116024 [3]兰州理工大学西部土木工程防灾减灾工程研究中心,甘肃兰州730050

出　　处：《兰州理工大学学报》2010年第5期104-107,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(50538080);辽宁省教育厅基金(2008S047)

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.

关 键 词：地震永久变形 接触面 Newmark方法 能量分析 

分 类 号：TU433[建筑科学—岩土工程]