Interaction Between Soil and a Rigid Foundation in a Layered Medium: A New Analytical Approach

by R. C. Zhang, Princeton Univ, Princeton, United States,
Y. Yong, Princeton Univ, Princeton, United States,
J. Yu, Princeton Univ, Princeton, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

This paper is concerned with derivation of the impedance matrix for the problem of interaction between soil and an embedded rigid foundation in a layered medium. As an approximation, the unknown contact distributed stress in the frequency domain is expanded as a two-fold finite series of azimuthal angle and radial component, each term representing a basic contact stress field. The response to the basic stress field, also called the influence function, is obtained by employing wave scattering matrices. With such an approach, the impedance matrix can be determined by simply solving for the unknown coefficients in the finite series from a set of linear algebraic equations derived in accordance with the compatible motions of the soil and the foundation on contact surfaces.

Subject Headings: Foundations | Matrix (mathematics) | Soil-structure interaction | Layered soils | Contact mechanics | Soil analysis | Fourier analysis

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