In our recently published Applied Acoustics paper, we used a method called the time domain nodal discontinuous Galerkin (DG) method to model how structures vibrate when they’re hit by an impact source.
We focused on a lightweight wooden floor structure made up of different parts with different properties. To make sure our calculations were accurate, we used the so-called the Rankine-Hugoniot jump conditions, which helped us calculated how the materials responded to the impact across the various floor components. We also added a some damping to the model to account for energy lost through vibrations. We tested our calculations by comparing them to real-life data, and found that they matched up pretty well, especially when it came to the natural frequencies of the structure. However, our damping approach wasn’t perfect for a wide range of frequencies. Overall, as it is known by other work that the calculations done with the DG method can be accelerated, this paper paves the way for detailed vibration studies with lower computational costs compared to the often used finite element method.
Building Acoustics TU/e 