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中文核心期刊

地下结构地震响应的计算模型

A COMPUTATIONAL MODEL FOR SEISMIC RESPONSE ANALYSIS OF UNDERGROUND STAUCTURES

  • 摘要: 地震时地下结构在围岩的约束作用下发生变形,其动态特性与地面结构有很大不同。自二十世纪七八十年代以来,地下结构抗震设计与研究取得了很大进展。总的看来,工程设计中普遍采用的计算方法与设计导则大都建立在比较简单假定的基础上,实际的岩土介质条件都是十分复杂的。地下结构抗震研究的近期成果则表现在对地下结构动力分析中的波动散射问题提出了波函数展开法以及边界积分方程方法等多种计算方法。但计算相对复杂,在工程设计中的推广应用有一定困难。此文致力于地下结构计算模型的改进,使之具有良好的计算精度与效率,又便于工程应用。为此,提出了一种地下结构抗震响应分析的新的计算模型。模型具有较广泛的适应性,可以进行河谷、孔洞、地下铁道、隧洞等地下结构的散射与绕射分析。对于复杂层状的地质条件,提出了格林函数求解简便而有效的方法。数值算例论证了方法的精度和效率。

     

    Abstract: Under earthquake excitation, the deformation of underground structures is restricted by the surrounding soil media. The dynamic behavior of it displays quite differently from aboveground structures. Considerable progress has been made on the design and research of the underground structures since seventies-eighties of twentieth century. However, in the main, the widely used computational methods and guidelines in engineering design practice are based on rather simple assumptions, in reality, the actual soil conditions might be much more complex than ideally boundary conditions. Recent achievements of earthquake research on underground structures lie in the development of various computational methods for wave scattering problems of underground structures, such as the wave function expansion method, the boundary integral equation method etc. As the computation is somewhat complex, which impedes its application and dissemination in the engineering design practice. The author devotes himself to the improvement of the computational model for seismic analysis of underground structures, such that it achieves higher accuracy and efficiency, meanwhile it proves to be convenient for engineering design. To this end, a new model for seismic response analysis of underground structures is proposed. The model is versatile to deal with wave scattering and diffraction by canyons, subsurface cavities, subways and tunnels etc. In case of the presence of complex soil conditions like the layered half-space, a simple and effective technique is developed for the evaluation of Green's functions. Numerical examples are provided to validate the accuracy and efficiency of the proposed approach.

     

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