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本文对受冲击波作用的齐地表盒形结构的动力响应计算提出了一个考虑二维因素的一维简化力学模型,并用拉普拉斯变换法给出了考虑结构底部地基效应和侧壁剪力的通用计算公式,文中分析了反映二维效应的两个无量纲参数§(质量比)、η(尺寸比)以及侧壁剪切影响系数β对结构—介质相互作用的影响,给出了在地表突加线性衰减荷载作用下埋设在常见的砂粘土中的齐地表刚性结构的底板最大动反力及顶、底板上最大设计动荷载随§、η和β的变化曲线。结果表明,在受冲击波荷载的地基基础,桩基,导弹发射井以及齐地表工事等结构的动力计算中,考虑结构—介质相互作用的二维效应是十分必要的。
In this paper, a one-dimensional simplified mechanical model considering two-dimensional factors is proposed to calculate the dynamic response of a box-shaped structure with a shock wave. The Laplace transform method is used to give the consideration of the foundation effect and the sidewall shear force of the structure. A general calculation formula, which analyzes the effect of two dimensionless parameters §(mass ratio), η (size ratio) and sidewall shear influence coefficient β on the structure-medium interaction that reflects the two-dimensional effect, is given on the surface The maximum dynamic reaction force of the bottom plate and the maximum design dynamic load on the top and bottom plates of a homogeneous surface structure embedded in a common sand-clay under the sudden increase of linear decay load are plotted against §, η, and β. The results show that it is necessary to take into account the two-dimensional effect of the structure-medium interaction in the dynamic calculation of structures such as foundations subject to shock wave loading, pile foundations, missile silos, and homogeneous surface formations.