An analysis is presented of the interaction between a shear wall, placed on a rigid foundation, and soil when the soil is subjected to a plane shear wave. Due to the particular symmetry of the model adopted an exact closed-form solution is obtained for the steady state response. The base displacements and base shear forces are compared with the corresponding values obtained neglecting the interaction. It is shown that the base displacements are zero for the fixed-base natural frequencies of the shear wall.
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J. Enrique Luco (1969) studied this question.