Motion of foundation on a layered soil medium — I. Impedance characteristics |
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| Authors: | Y Yong Ruichong Zhang J Yu |
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| Institution: | aDepartment of Ocean Engineering, Florida Atlantic University, FL 33431, USA;∗Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089, USA |
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| Abstract: | An impedance matrix is derived for the relationship between displacements and external excitations of a rigid or flexible foundation embedded in a layered soil medium. The unknown contact distributed force between the foundation and soil is expanded in the frequency domain as a twofold series of azimuthal and radial components; each term represents a basic or fundamental distribution. As a result, the total response of the soil, either of displacements or stresses, has the same type of series expression except for the fundamental distributions replaced by influence functions. The coefficients of the series expansion, appearing in both equilibrium conditions of the foundation and compatibility conditions on the contact surface, relate the foundation displacements and excitations, and, therefore, result in the impedance matrix. Avoidance of integral equations in the soil-structure interaction analysis is the merit of the present approach. |
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