Stable model order reduction for time-domain exterior vibro-acoustic finite element simulations

S. van Ophem, O. Atak, E. Deckers, W. Desmet
2017 Computer Methods in Applied Mechanics and Engineering  
Finite element analyses of vibro-acoustic systems are usually performed in the frequency domain, meaning that the obtained results cannot straightforwardly handle time-varying input signals. These limitations can be overcome by performing a time domain analysis of the finite element model. To reduce the calculation complexity needed for time integration a model order reduction technique is proposed. A time stable Krylov subspace reduction technique is derived for the coupled exterior
more » ... tic problem case. The Sommerfeld radiation condition is taken into account by applying infinite elements on the boundary of the mesh. The application of time stable infinite elements leads to a potentially singular mass matrix. A method is developed that circumvents mass matrix inversion, which is based on a singular value decomposition. Combined with a special formulation of the system matrices, the proposed method is shown to preserve the stability of the full model. The resulting model order reduction procedure is applied on a numerical model of a loudspeaker.
doi:10.1016/j.cma.2017.06.022 fatcat:7kbsz7cfhrhafh6iceicozvw7a