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 引用本文: 陈少林, 赵宇昕. 一种三维饱和土-基础-结构动力相互作用分析方法[J]. 力学学报, 2016, 48(6): 1362-1371.
Chen Shaolin, Zhao Yuxin. A METHOD FOR THREE-DIMENSIONAL SATUTARTED SOIL-FOUNDATION-STRUCTURE DYNAMIC INTERACTION ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(6): 1362-1371.
 Citation: Chen Shaolin, Zhao Yuxin. A METHOD FOR THREE-DIMENSIONAL SATUTARTED SOIL-FOUNDATION-STRUCTURE DYNAMIC INTERACTION ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(6): 1362-1371.

## A METHOD FOR THREE-DIMENSIONAL SATUTARTED SOIL-FOUNDATION-STRUCTURE DYNAMIC INTERACTION ANALYSIS

• 摘要: 地震波入射时土与结构动力相互作用分析是地震工程领域的重要问题.由于问题的复杂性，以往的研究大多考虑地基土为干土情形.而实际工程中，土体中经常充满孔隙水，土层往往是含水层或部分含水层.孔隙水对土层的地震反应影响较大，进而影响支撑于其上的基础和上部结构的响应.因此，有必要考虑饱和土-基础-结构动力相互作用问题.基于此，土体采用Biot模型，利用集中质量显式有限元方法并结合多次透射人工边界进行模拟；结构经有限元离散后，采用Newmark隐式时步积分方法进行分析，可通过ANSYS等有限元软件实现；基础假定为刚性，采用显式时步积分进行求解；土体和结构（及基础）可分别采用不同的时间步距；通过FORTRAN程序实现了三维饱和土-基础-结构系统在地震作用下的整体分析.从饱和多孔介质动力微分方程出发可知，干土是饱和土的特殊情形，通过将流体体积模量及孔隙率置为零，可将饱和土退化到干土，从而将干土统一到饱和土的计算框架中，通过土-结构相互作用算例对此进行了验证，进一步实现了干土与饱和土混合情形时的土-结构动力相互作用分析，使得问题的模拟更贴近实际工程（如考虑地下水位情形）.通过算例对比了饱和土地基、干土地基、干土覆盖饱和土地基（考虑地下水位）情形时，土-结构相互作用对基础和结构响应的影响，结果表明地下水位对基础和结构响应的影响较大.

Abstract: Analysis of soil-structure dynamic interaction subjected to seismic wave is a key problem in earthquake engineering. In general, the soil stratum consists of two-phase saturated porous zones and single-phase viscoelastic zones due to ground water. In most cases of soil-structure dynamic interaction analysis, the soil has been assumed to be a singlephase viscoelastic medium for simplicity and little attention has been paid to the saturated porous soil case, even less to case of the viscoelastic soil layered on saturated soil. In this study, an effcient method for three-dimensional saturated soil-foundation-structure dynamic interaction analysis is proposed. The unbounded saturated soil is modelled by lumpedmass explicit finite element method and transmitting boundary condition the structure is analysed through implicit finite element method, and response of the rigid foundation is calculated through explicit time integration scheme. The different time steps can be chosen for the explicit and implicit integration scheme, which can greatly improve the effciency. In addition, based on the fact that single-phase soil is a special case of two-phase saturated soil, the dynamic analysis of single-phase soil can be unified into the analysis of saturated soil by setting the bulk modulus of pore fluid and porosity to be zero. Thus, the soil-structure interaction analysis for the viscoelastic soil layered on saturated soil case is realized, which can approximate the ground water table in practice. The effects of ground water on the response of foundation and structure are examined through numerical examples of soil-structure interaction analysis for saturated soil, single-phase viscoelastic soil and the viscoelastic soil layered on saturated soil, and the results show that the ground water influences the structure and foundation responses greatly.

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