STEADY-STATE ELASTODYNAMICS SOLUTIONS USING BOUNDARY SPECTRAL-LINE STRIPS

The 2D frequency domain boundary integral equation is solved by the bo undary 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 in tegration path is a straight line. The method is illustrated by two di fferent problems, both over a range oi excitation frequencies. The fir st problem is a rectangular bar under a longitudinal excitation, which has an analytical solution. The other problem is a trapezoidal dam lo aded by a transverse excitation at its base. The solution for the seco nd problem is compared with a finite elements model. The results obtai ned from these tests show a good agreement between the results of the boundary strip method and analytical or finite elements results.