Impedance Functions of Circular Foundation Resting on Layered Soil Using Cone Model

 

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: e-mail:baidya@eng.uwi.tt

Deba Prasad Ghosh

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

ABSTRACT

Impedance functions for a rigid massless circular foundation resting on layered soil subjected to vertical harmonic excitation are found using one-dimensional wave propagation in cones with reflection and refraction occurring at layer interface and free surface. Linear hysteretic material damping is introduced using correspondence principle. The normalized impedance functions evaluated by the proposed method are compared with the reported results, which shows a good agreement. Compared to rigorous procedures based on three-dimensional elastodyamics, the novel method is easy to apply, provides conceptual clarity and physical insight in the wave propagation mechanism.

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

 

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