Open Access

ARTICLE

Analytical Investigation of Depth Non-homogeneity Effect on the Dynamic Stiffness of Shallow Foundations

by Sarang Seyrafian¹, Behrouz Gatmiri², Asadollah Noorzad³

1 Department of Civil Engineering, University of Tehran, Tehran, Iran and Universite Paris-Est, Navier-ENPC, CERMES, Paris, France, seyrafis@cermes.enpc.fr
2 Department of Civil Engineering, University of Tehran, Tehran, Iran and Universite Paris-Est, Navier-ENPC, CERMES, Paris, France, gatmiri@cermes.enpc.fr
3 Department of Civil Engineering, University of Tehran, Tehran, Iran, noorzad@ut.ac.ir

Computer Modeling in Engineering & Sciences 2007, 21(3), 209-218. https://doi.org/10.3970/cmes.2007.021.209

Abstract

The vertical response of a rigid circular foundations resting on a continuously non-homogenous half space is studied analytically. The half space is considered as a liner-elastic media with a shear modulus increasing continuously with depth. The system of governing differential equations, based on the mentioned assumption, consist of two partial differential equations, is converted to ordinary equations' system by employing Hankel Integral transform. Using the method of extended power series (Frobenius Method) led to the general solution for the latter system. The mixed boundary problem is solved by introduction of functional expansion for the stress distribution under the foundation using appropriate base functions. Selected numerical results are presented to demonstrate the effect of depth non-homogeneity on the vertical dynamic stiffness (Impedance) of the foundation.

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Keywords

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