Analytical Investigation of Depth Non-homogeneity Effect on the Dynamic Stiffness of Shallow Foundations
Sarang Seyrafian; Behrouz Gatmiri; and Asadollah Noorzad

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 21, No. 3, pp. 209-218, 2007
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Keywords \kern -5pt Depth Non-homogeneity, Impedance Function, Circular Footing, Stress Distribution
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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