地震研究

详细论述了动力无限元基本理论,提出了一种在非一致激励时无限元边界面上地震动的输入方法。在此基础上,考虑管线-土体之间的黏结滑移效应,采用动力无限元边界,建立了埋地管线的三维有限元-无限元耦合的精细化模型,对非一致地震波激励下埋地管线的动力响应进行了数值分析,对管线周围的土体计算范围的取值进行了系统研究,给出了管线周围土体的有效计算宽度W、有效计算长度L和有效计算深度H的取值范围。结果表明:W的取值与管径D紧密相关,H可取30～60 m,L应至少包含一个地震动的卓越周期段的波长,此分析结果可满足大多数工程需求。

In this paper,the basic theory of dynamic infinite element is discussed,and an input method for ground motion at the boundary surface of the infinite element by non-uniform excitation is proposed.Then,on condition that the bond slip effect between pipelines and soil is involved,a refined model of buried pipelines,which couples three-dimensional finite element with infinite element,is established by using dynamic infinite element boundaries.The dynamic response of buried pipelines by the non-uniform seismic wave excitation is numerically analyzed.The values of the calculation range of the soil around the pipeline are systematically studied,and the effective width W,the effective length L,and the effective depth H of the soil around the pipeline are given.The results indicate that the value of W is closely related to the pipe diameter D; H can be taken between 30-60 m,and L should include at least one wavelength of the predominant period of the ground motion.In this case,the results can meet most engineering requirements.

引言
1 非一致激励下动力无限元边界上的地震动输入方法
2 模型设计
3 埋地管线周围土体计算范围取值
4 结论

图1 地震动输入模型示意图<br/>Fig.1 Schematic diagram of the ground motion model

图1 地震动输入模型示意图
Fig.1 Schematic diagram of the ground motion model

图2 考虑行波效应的模型示意图<br/>Fig.2 Schematic diagram of the model involvingthe traveling wave effect

图2 考虑行波效应的模型示意图
Fig.2 Schematic diagram of the model involvingthe traveling wave effect

表1 材料参数
Tab.1 Material parameters

图3 有限元-无限元耦合管线-土体相互作用模型<br/>Fig.3 The finite element and the infinite elementcoupling pipe-soil interaction model

图3 有限元-无限元耦合管线-土体相互作用模型
Fig.3 The finite element and the infinite elementcoupling pipe-soil interaction model

表2 模型边界条件<br/>Tab.2 Model boundary conditions

表2 模型边界条件
Tab.2 Model boundary conditions

表3 各类场地的覆盖层厚度<br/>Tab.3 Thickness of soil layers at 5 types of sites

表3 各类场地的覆盖层厚度
Tab.3 Thickness of soil layers at 5 types of sites

图4 不同PGA下模型中部管道截面的轴向峰值应变(a)及相对误差(b)<br/>Fig.4 Axial peak strain(a)and its relative error(b)of pipeline section in the middle of the model hit by PGA

图4 不同PGA下模型中部管道截面的轴向峰值应变(a)及相对误差(b)
Fig.4 Axial peak strain(a)and its relative error(b)of pipeline section in the middle of the model hit by PGA

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备注

引言

1 非一致激励下动力无限元边界上的地震动输入方法

2 模型设计

3 埋地管线周围土体计算范围取值

4 结论

期刊信息