Efficient evaluation of the frequency-averaged power injected into systems of industrial complexity

Input power provides very useful information regarding a vibrating system, as it directly connects the strength of the source and the motion. In a recent work, a numerical strategy has been proposed to efficiently and accurately estimate the frequency-averaged input power by means of deterministic simulation techniques. Rather than solving an integral over a band of real frequencies, the integration contour is moved to the complex frequency domain, where the mobility shows a smoother behavior. This allows a more accurate integration with a significant reduction of response function evaluations, that are computed at complex frequencies rather than real ones. In this paper, the aforementioned approach is benchmarked on two application cases. The first example consists of a car firewall and allows assessing the ability of the technique to deal with geometries of industrial complexity. In the second case, the model under analysis is a simplified acoustic car cavity, excited through the firewall. Two configurations are analyzed. The first one presents rigid walls, while for the second, frequency dependent admittance boundary conditions are applied on the carpet and the headliner of the cavity. These configurations allow benchmarking the approach for acoustic problems with distributed excitation and frequency dependent properties.