Coupling of the analytical solution for the Timoshenko beam with a fully saturated halfspace by application of the Wave Based Method

To model the field response of a fully saturated halfspace coupled with an elastodynamic trench, the Wave Based Method (WBM) is applied. This numerical method represents an indirect Trefftz approach and is based on weighted wave functions to describe field responses. The wave functions are derived from the analytical solutions for the underlying differential equations. This method has firstly been introduced for vibroacoustic problems in the mid-frequency range. Amongst others, the performance of the WBM strongly depends on the relation between the applied excitation frequency and the dimensions of the observed problem. This relation lies about in the same range for a vibroacoustic structure as for a soil halfspace, which permits to use similar wave function sets. Considering a fully saturated poroelastic halfspace, a second irrotational potential is introduced according to Biot’s theory. This so-called second P-wave is approximated by an additional set of wave functions, which increases the number of unknowns for the numerical model. To reduce the total number of wave functions, the coupled trench is modeled by a Timoshenko beam. This permits to replace the wave function sets of the original elastodynamic trench by the analytical solution for the Timoshenko beam. Simulation results are used to assess the accuracy and the mitigation efficiency of the wave barrier.      «

To model the field response of a fully saturated halfspace coupled with an elastodynamic trench, the Wave Based Method (WBM) is applied. This numerical method represents an indirect Trefftz approach and is based on weighted wave functions to describe field responses. The wave functions are derived from the analytical solutions for the underlying differential equations. This method has firstly been introduced for vibroacoustic problems in the mid-frequency range. Amongst others, the performance...     »