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高 盟, 高广运, 李大勇. 考虑耦合质量影响的均布突加荷载作用下衬砌结构的瞬态响应[J]. 岩土工程学报, 2011, 33(6): 862.
引用本文: 高 盟, 高广运, 李大勇. 考虑耦合质量影响的均布突加荷载作用下衬砌结构的瞬态响应[J]. 岩土工程学报, 2011, 33(6): 862.
GAO Meng, GAO Guang-yun, LI Da-yong. Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(6): 862.
Citation: GAO Meng, GAO Guang-yun, LI Da-yong. Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(6): 862.

考虑耦合质量影响的均布突加荷载作用下衬砌结构的瞬态响应

Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass

  • 摘要: 考虑耦合质量项的影响,对饱和地基中圆柱形衬砌结构的瞬态响应问题进行了研究。基于Biot波动理论,将饱和土体和衬砌结构分别视为流固耦合两相介质和弹性均匀介质,对波动方程进行Laplace变换和变量分离,求得了饱和地基中均布突加荷载作用下,衬砌结构的动力响应解答。利用土体与衬砌结构之间的连续性条件和衬砌结构内边界上的边界条件,确定表达式的未知系数。采用Laplace逆变换的数值积分法,给出相应的数值解,分析了饱和土参数、衬砌结构参数对衬砌结构的动力响应的影响。文中还分析了耦合质量对衬砌结构动力响应的影响。

     

    Abstract: Considering the effects of coupling mass, the transient dynamic response of a cylindrical lining structure subjected to sudden internal uniform loading is studied. Based on the Biot’s dynamic theory, the lining structure and saturated soils are respectively treated as the fluid-solid coupling medium and the homogeneous elastic one. A solution to the dynamic response of the lining structure in saturated soils is obtained by means of the Laplace transform and the method of the separation of variables. By utilizing the inner boundary condition of the lining structure and the continuity conditions between the soil and the lining, the unknown coefficients in the expressions are determined. By use of the numerical integration of inverse Laplace transforms, the numerical solution to the problem is presented. On this basis, the dynamic responses of the lining structure in saturated soils are analyzed for different parameters of the soil and the lining. The effects of the coupling mass on the dynamic response of the lining structure are also discussed.

     

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