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Article

Open Access

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

Author(s)

Aleksandra Risteska and Vlado Gicev

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DOI:10.17265/2328-2193/2018.04.001

Affiliation(s)

Department of Applied Mathematics, Faculty of Computer Science, University “Goce Delcev”, Stip 2000, R. Macedonia

ABSTRACT

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 FD. 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.

KEYWORDS

Wave propagation, particle velocity, stress, strain, boundary conditions, numerical simulation.

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