3D forced vibration of a layered half-space coupled with surface rigid-base oscillators

This paper investigates the spatial steady-state responses of a system comprising a layered half-space coupled with surface oscillators to harmonic loading and the related factors through a semi–analytical framework. The proposed scheme utilizes the multiple scattering technique to reformulate the response field into associated parts described by Green's functions. The verified scheme, incorporating an averaging technique, accommodates structure properties regarding arbitrary spatial distribution and rigid base kinematic constraints. Focusing on the impacts of the presence of neighboring buildings, typical comparative investigations on a specialized layered half-space case reveal that how the geometrical and mechanical characteristics of the closely spaced structures influence the overall vibrational responses. Besides highlighting the effects of the relative location of the source and receivers on the involved Structure-Soil-Structure Interaction (SSSI), further case studies demonstrate the practical value of the proposed approach for addressing real-world engineering challenges such as the preliminary prediction and mitigation of vibrations in urban areas.