TY  - EJOU
AU  - Seyrafian, Sarang  
AU  - Gatmiri, Behrouz  
AU  - Noorzad, Asadollah  

TI  - Analytical Investigation of Depth Non-homogeneity Effect on the Dynamic Stiffness of Shallow Foundations
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2007
VL  - 21
IS  - 3
SN  - 1526-1506

AB  - 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.
KW  - Depth Non-homogeneity
KW  -  Impedance Function
KW  -  Circular Footing
KW  -  Stress Distribution

DO  - 10.3970/cmes.2007.021.209