Steady state elastodynamics solutions using boundary spectral line strips

Abstract

The 2D frequency domain boundary integral equation is solved by the boundary spectral strip method. Using an expansion for frequency domain elastodynamics kernel we reduce its singularity and present analytical solutions for the required integrals in the singular case when the integration path is a straight line. The method is illustrated by two different problems, both over a range of excitation frequencies. The first problem is a rectangular bar under a longitudinal excitation, which has an analytical solution. The other problem is a trapezoidal dam loaded by a transverse excitation at its base. The solution for the second problem is compared with a finite elements model. The results obtained from these tests show a good agreement between the results of the boundary strip method and analytical or finite elements results.