Document Type : Original Article
Authors
1
Ph.D. student,, civil engineering department, Urmia university, Urmia,, Iran
2
assistant professor, civil engineering department, Urmia university, Urmia,, Iran
10.22065/jsce.2024.411237.3192
Abstract
In this paper, the dynamic response of a rigid square foundation on an elastic half-space was investigated. In order to consider the kinematic soil structure interaction, massless foundation is assumed. In this research, a rigid square foundation was subjected to oblique incident harmonic SH waves. Taking into account the characteristics of the wave, including the obliquity of the wave, which is described by two parameters including the angle of incident wave with the vertical direction and the angle of impact of the wave with the foundation edge in the plan, the analysis of the effect of the soil foundation kinematic interaction was studied. The impedance functions as well as the foundation input motion including the torsional and horizontal motions of the foundation were then calculated. Boundary element method was used for the dynamic analysis of the foundation. The weak and strong singularity in governing integral equations were investigated. The results showed that changes in the vertical and horizontal angle of the incident wave have an important effects on the dynamic foundation response, and in particular, non-vertical waves reduce the translational motion compared to free field motion and also cause additional torsional motion in the foundation. The obtained results were expressed in terms of impedance functions as well as horizontal and torsional motions of the foundation versus the dimensionless frequency. Also, in simple cases, the results were compared with the results in literature and an acceptable agreement was observed. The results show the vertical and horizontal angles of incident waves can influence the foundation response. As vertical angle increases, the foundation response becomes further away from the free field response, and at higher frequencies, its value decreases and approaches to zero. With the increase of the horizontal angle, the horizontal displacement also decreased. The results are shown in dimensionless frequency graphs.
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