当通过人工边界转换方法模拟静动力耦合效应时，既有耦合边界模拟方法存在使模型位移场变化较大的问题，影响地震波斜入射下隧道结构地震响应分析结果的准确性。本文提出了一种基于多次静力分析的人工边界转换改进方法，使有限元模型动力分析的初始状态与静力分析的应力状态、位移场均一致，实现了静动力联合分析。采用黏弹性边界结合等效荷载的外源波动输入方法，基于ABAQUS软件建立斜入射P波与SV波下的数值地震分析模型，通过算例验证模型与所提方法的可靠性。进行一系列非线性时程分析，对比分析了P波与SV波分别斜入射对隧道衬砌结构地震响应的影响规律。结果表明：该方法可以保证隧道静动力边界转换前后位移的一致性；随着入射角度的增加，P波作用下，结构水平加速度先增大后减小，竖向加速度呈递减趋势，而SV波作用下，水平和竖向加速度均呈增大趋势；当入射角大于20°时，相较于P波斜入射，SV波斜入射下隧道拱肩、拱脚处的应力水平更高；隧道结构在斜入射SV波下的损伤程度高于斜入射P波。
Abstract
The existing coupling boundary simulation method has the problem that the displacement field of the model changes greatly, which affects the accuracy of the seismic response analysis results of tunnel structures under oblique incidence of seismic waves, while the static-dynamic coupling effect is simulated by artificial boundary transformation method. In this paper, an improved method of artificial boundary transformation using repeated static analysis is proposed, which makes the initial state of dynamic analysis of finite element model consistent with the stress state and displacement field of static analysis, and the static-dynamic coupling analysis is realized. A numerical seismic analysis model under oblique incident P wave and SV wave was established using ABAQUS software. The reliability of the model and method was verified through an example. A series of nonlinear time-history analysis were carried out, and the influences of oblique incidence of P wave and SV wave on the seismic response of tunnel lining structure were compared and analyzed. The results show that the consistency of displacement displacement field of tunnel can be ensured in the transformation of artificial boundary by the method. With the increment of the incident angle, the horizontal acceleration of the structure first increases and then decreases. While the vertical acceleration shows a decreasing trend under the action of P wave. Under the action of SV wave, both the horizontal acceleration and the vertical acceleration show an increasing trend. When the incident angle is larger than 20°, compared with P wave oblique incidence, the stress level of arch shoulder and arch foot under SV wave oblique incidence is higher; The damage degree of tunnel structure under oblique incident SV wave is higher than that under oblique incident P wave.
关键词
岩体隧道 /
P波 /
SV波 /
人工边界转换 /
入射角度
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Key words
rock tunnel /
P wave /
SV wave /
transformation of artificial boundaries /
incident angle
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