Horizontal Impedance of Circular Foundation
Resting on Layered Soil

 

Pradip Kumar Pradhan

Research Scholar, Department of Civil Engineering
Indian Institute of Technology, Kharagpur, India
E-mail: pradip@civil.iitkgp.ernet.in

Dilip Kumar Baidya

Lecturer, Department of Civil Engineering
The University of West Indies, St. Augustine, Trinidad
E-mail: baidya@eng.uwi.tt

and

Deba Prasad Ghosh

Professor, Department of Civil Engineering
Indian Institute of Technology, Kharagpur, India
E-mail: dpg@civil.iitkgp.ernet.in

ABSTRACT

This paper presents an extensive investigation of the influence of key mechanical and geometrical parameters on the horizontal impedance of circular foundation resting on two-layered soil deposit. The parameters investigated are the ratio of shear modulus, ratio of shear wave velocity, the thickness of the top layer, material damping ratio and Poissonís ratio. The results are presented in the form of dimensionless graphs, which may prove to be useful in understanding the steady state harmonic response of circular foundations on layered soil under horizontal excitation. The investigation was conducted using a simple method i.e. one dimensional wave propagation in cones taking into consideration the reflection and refraction at layer interface and free surface. Linear hysteretic material damping was introduced using corresponding principle.

KEYWORDS: Foundation vibration, impedance functions, wave propagation, layered soil, cone model.

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