Two-dimensional SH-type vibration of several shear walls erected on an elastic, homogeneous, half-space has been studied. The choice of the cylindrical coordinate system, suitable for analysis of rigid foundations with semi-circular cross section, has lead to the exact infinite series solution, which is ideal for the analysis of the physical nature of this problem and its dependence on several key parameters.

It has been shown that the presence of neighboring buildings may change the nature of the single soil-structure interaction problem appreciably and that scattering, diffraction, and interference of waves from and around several foundations with the incident SH waves can lead to significant shielding, as well as amplification of input motion for any of the buildings in a group. The effects of relative size of two, three and several foundations and their separation distances have been studied and presented in some detail.

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