Calculation of beam road bridges for seismic loads taking into account the interaction of supports with the ground

The transverse vibrations of single-span beam bridges with elastic ties to their supports, in which, under seismic influences, the pile part interacts with the surrounding soil, are considered. It is assumed that the deformation of structures does not go beyond the limits of elasticity, and the vibrations are linear. Bridge supports are assumed to be immersed in the ground interacting with a rigid body under the influence of non-stationary dynamic influences. The case is considered when the right and left supports have equal masses and interact with the surrounding soil in the same way. In this case, the symmetry condition was used, where it is sufficient to consider the equation of the right half of the beam. The problems are solved by the analytical Fourier method in the given boundary conditions. The results obtained are presented in the form of the distribution of displacement and stress over the time and length of the bridge structures. Their analysis is presented.

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