Investigating the effective factors on the dynamic analysis of foundations located on saturated porous medium under the effect of horizontal and torsional vibrations using the cone model method

Document Type : Research Article


1 Department of Civil and Environmental Engineering, Shiraz University of Technology, Shiraz, Iran

2 Assistant Professor, Department of Civil and Environmental Engineering, Shiraz University of Technology, Shiraz, Iran

3 Dept. of Civil Engineering, Islamic Azad University, Shahrekord Branch- Lordegan Center, Shahrekord, Iran

4 1- Department of Civil and Environmental Engineering, Shiraz University of Technology, Shiraz, Iran Department of Engineering and Architecture, University of Trieste, Trieste, Italy


Seismic analysis of machine foundations located on saturated porous media can be carried out with several methods. Some of these methods are very accurate such as the boundary element method, complex finite element method, and scaled boundary finite element method. Other methods, such as the cone model method, is not only simple and practical but also have appropriate and acceptable accuracy. In the cone model, the soil mass is modeled with incomplete cones and the propagation of waves in these cones is followed until the wave is sufficiently damped and its effect on the foundation response is negligible. In this research study, the application of the cone model method in determining the dynamic stiffness, taking into account the effect of pore water (two-phase approach), has been investigated for different soil conditions. The system of differential equations governing horizontal and torsional vibrations in a porous medium is obtained by considering the effect of soil dilatancy. Also, the effect of different parameters such as layer thickness, porosity, and permeability coefficient has been investigated on the foundation’s response under shear and torsional vibrations. The obtained results show that the cone model can provide a good level of accuracy and high computational efficiency for predicting the horizontal and torsional vibrations of foundations resting on saturated porous media. Also, the two-phase environment shows considerable attenuation in low frequencies compared to the one-phase one, and in the case of deep rock bed, there is no significant difference in attenuation. In addition, the greater the thickness of the layer, the closer its performance is to the case where the foundation is based on a half-space, and if the thickness of the first layer is more than 20 times the radius of the disk, the environment can be accurately described as a half-space regardless of other layers. Also, with the increase of the permeability coefficient of the layer, the influence of this parameter in the analysis increases, especially in smaller frequencies, and the decrease of the permeability coefficient leads to an increase in damping. Another part of the results obtained from this research shows that the porosity parameter has a very small effect on the horizontal and torsional stiffness coefficients, although the sensitivity of the dynamic analysis to porosity is significant for high frequencies of vertical alternating load.


Main Subjects

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