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A Simple Simulation of Acoustic Radiation from a Vibrating Object

The goal of this pro ject is to explore the role that fluid coupling plays on the vibration of an ob ject, and to investigate how one can model such effects. We want to determine whether the effects of coupling to the medium surrounding a vibrating ob ject are significant enough to warrant including them into our current instrument modeling software. For example, we wish to examine how the resonant frequencies of an ob ject change due to the presence of a surrounding medium. We also want to examine the different methods of modeling acoustic radiation in interior and exterior domains. Using a simple 2D beam as an example, this investigation shows that coupling with dense fluids, such as water, dramatically changes the resonant frequencies of the system. We also show that using a simple finite element model and modal analysis, we can simulate the acoustic radiation profile and determine a realistic sound pressure level at arbitrary points in the domain in real-time.

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