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In this paper the dynamic interaction of two rigid massless foundations resting on the finite depth soil medium layer. The vertical response of a loaded and unloaded foundation of a layer over a bedrock is calculated by Integral transform method (ITM). This method is based on analytical solution of the Lamé's differential equations of motion. A parametric analysis of vertical vibrations as a function of soil depth is carried out using a computer program developed in MATLAB. The obtained results are presented.

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