Analysis of dynamic behavior of a multi-storey frame building in the railway traffic area

The impact of loading from rolling stock on a 25-storey monolithic-frame office building section with a 9-storey parking garage, located near the movement of railway trains in an urban area, was investigated. A two-stage numerical approach was applied to mathematically model the dynamic behavior of multi-storey buildings under loading from rolling stock. At the first stage, a finite element model of the ballast prism and soil was developed in the form of a flat elastic-plastic half-space with a length of 200 m and a depth of 60 m, created using the NASTRAN software package. The loading from the rolling stock was presented as a vertical periodic excitation, concentrated at the center of mass of the system, comprising the bogie frame, wheelsets of a freight train wagon, and the ballast prism. The impact of rolling stock load on the base was studied in a nonlinear static formulation using the Newton-Raphson method. Modal analysis of the base and ballast prism was performed using the Lanczos method. The dynamic behavior of the base was analyzed using the fourth-order Runge-Kutta method. Horizontal and vertical ground accelerations were obtained at various distances and depths of the base model relative to the railway track axis. At the second stage, a 3D model of the building was developed in the SCAD software package. Modal analysis of the structure was conducted using the subspace iteration method. The stress-strain state of the building under the influence of calculated loads and kinematic ground excitation, applied along the height of the building foundation as acceleration vectors, was investigated using the spectral method. The conditions for reliability and structural safety of the building were verified under load combinations, including the influence of base ground vibrations caused by rolling stock.