The Response of a Shear Beam as 1D Medium to Seismic Excitations Dependent on the Boundary Conditions

We study response of a shear beam to seismic excitations at its base. The research is conducted using computer simulation of the wave propagation on a numerical model. The wave equation is solved using the method of finite differences (FD) where the spatial and temporal derivatives are approximated with finite differences. We used formulation of the wave equation via the particle velocities, strains, and stresses. Integrating particle velocities in time, we obtained displacements at spatial points. The main goal in this research is to study phenomena occurring due to three different types of boundary conditions, Dirichlet, Neumann, and moving boundary when simple half-sine pulse propagates through 1D medium modeled as a shear beam.