Speaker
Description
Vibrational structures are susceptible to catastrophic failure or structural damage when external forces induce resonances or repeated unwanted oscillations. One common mitigation strategy to address this challenge is using dampers to suppress the effect of these disturbances. This leads to the question of how to find optimal damper viscosities and positions for a given vibrational structure. While there is extensive research on finite-dimensional second-order systems, optimizing damper placement remains challenging due to the discrete nature of damper positions. In this talk, we investigate the influence of a single damper on an infinite-dimensional system, focusing particularly on the wave equation. We consider two important cases: uniform forcing and boundary forcing. Both cases are analyzed using the $\mathcal{H}_2$ and $\mathcal{H}_\infty$ norms.
