TIME-DOMAIN STRUCTURAL VIBRATION SIMULATIONS BY SOLVING THE LINEAR ELASTICITY EQUATIONS WITH THE DISCONTINUOUS GALERKIN METHOD

In the field of building acoustics, an efficient solution of the linear elasticity equations for vibroacoustic
\nproblems is of interest. The focus of this work is on the structural part, with plate vibration
\nproblems in particular. The linear elasticity equations in the stress-velocity formulation are
\nsolved in the time-domain for the three-dimensional plate problem. The numerical solution is
\nobtained through the Runge-Kutta discontinuous Galerkin method, which has the potential to be
\nhighly parallelizable and thereby computationally very efficient. Numerical aspects of applying
\nthe discontinuous Galerkin method to this problem are discussed, especially on the force excitation
\nand the boundary conditions of the plate problem. The accuracy of applying the discontinuous
\nGalerkin solution is presented by comparing its results to results from analytical solutions.
\nSeveral scenarios of plate variations with different boundary conditions are simulated to demonstrate
\nthe capabilities of the method.