Purpose

The vertical–horizontal–rocking vibrations of rigid foundations of arbitrary shape resting on a poroelastic layer are studied in this paper. The poroelastic layer consists of a finite thickness overlying a rigid base. A foundation is subjected to time-harmonic vertical, horizontal and moment loading.

Procedure

The interaction problem is formulated by employing a discretization technique based on the rigid body displacement boundary conditions at the soil–foundation contact surface and the displacement influence functions of a poroelastic layer. The discretization method used in this paper yields a flexibility equation system for the contact traction at the soil–foundation contact area.

Results

Selected numerical results for the vertical, horizontal, and rocking compliances of rigid foundations of arbitrary shape are presented to portray the effects of the foundation shape, the finite thickness of a poroelastic layer, and the poroelastic properties on the dynamic interaction problem.

Conclusion

The results show that the influences of the foundation shape, the finite thickness of a poroelastic layer, and the poroelastic properties are significant on the vertical, horizontal, and rocking compliances.

中文翻译：

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多孔弹性层上任意形状刚性基础的竖向-水平-摇摆振动

目的

本文研究了多孔弹性层上任意形状的刚性基础的竖向-水平-摇摆振动。多孔弹性层由覆盖刚性基底的有限厚度组成。地基承受时谐垂直，水平和弯矩荷载。

程序

相互作用问题是采用离散化技术根据土-基础接触面的刚体位移边界条件以及多孔弹性层的位移影响函数来表达的。本文中使用的离散化方法为土-基础接触区域的接触牵引提供了一个柔性方程系统。

结果

给出了任意形状的刚性基础的垂直，水平和摇摆柔度的选定数值结果，以描述基础形状，多孔弹性层的有限厚度以及多孔弹性特性对动力相互作用问题的影响。

结论

结果表明，基础形状，多孔弹性层的有限厚度以及多孔弹性的影响对于垂直，水平和摇摆柔度都具有显着影响。