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Background | |
---|---|
Benchmark ID |
soundTransmission_n95480m1q1 |
Category |
misc |
System-Class |
LTI-SOS |
Parameters | |
nstates |
95480
|
ninputs |
1 |
noutputs |
1 |
nparameters |
0 |
components |
B, C, E, K, M |
Copyright | |
License |
Creative Commons Attribution 4.0 International |
Creator | |
Editor | |
Location | |
https://zenodo.org/record/7670587/files/soundTransmission_n95480m1q1.mat |
Description
The Sound transmission through a plate benchmark models the radiation of a vibrating plate and the excitation of a structure by an oscillating acoustic fluid. It is based on an experiment by Guy[1].
The system consists of a cuboid acoustic cavity, where one wall is considered a system of two parallel elastic brass plates with a air gap between them; all other walls are considered rigid. The plates measure and have a thickness of ; the receiving cavity is wide. The outer plate is excited by a uniform pressure load and the resulting acoustic pressure in the receiving cavity is measured at the middle of the rigid wall opposite to the elastic plate ( in the sketch).
The following material parameters have been considered for the brass plates and the acoustic fluid:
Part | Parameter | Value | Unit |
Brass plates | |||
Acoustic fluid | |||
Dimensions
System structure:
System dimensions:
, , , , , with .
Proportional damping, i.e. , with is considered. The two-way coupling between the structure and the acoustic fluid results in non-symmetric matrices .
Data
The data is available at Zenodo.
Remarks
- The numerical model resembles the experimental data[1] in a frequency range from to . The frequency response in this range is also included in the dataset.
- The finite element discretization has been performed with Kratos Multiphysics.
- The system has unstable eigenvalues. This is common in interior acoustic problems where no damping is assumed for the acoustic fluid[2].
- A comparison of different interpolation-based MOR methods using this benchmark example is available in[3]
Citation
To cite this benchmark, use the following references:
- For the benchmark itself and its data:
@Misc{dataAum22, author = {Aumann, Q.}, title = {Matrices for a sound transmission problem}, howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki}, year = 2022, doi = {10.5281/zenodo.7300346} }
- For the background on the benchmark:
@Article{AumW23, author = {Aumann, Q. and Werner, S.~W.~R.}, title = {Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods}, journal = {Journal of Sound and Vibration}, volume = 543, year = 2023, pages = {117363}, doi = {10.1016/j.jsv.2022.117363}, publisher = {Elsevier {BV}} }
References
- ↑ 1.0 1.1 R. W. Guy. "The Transmission of Airborne Sound through a Finite Panel, Air Gap, Panel and Cavity Configuration – a Steady State Analysis ", Acta Acustica united with Acustica, 49(4): 323--333, 1981.
- ↑ V. Cool, S. Jonckheere, E. Deckers, W. Desmet. "Black box stability preserving reduction techniques in the Loewner framework for the efficient time domain simulation of dynamical systems with damping treatments", Journal of Sound and Vibration, 529: 116922, 2022.
- ↑ Q. Aumann, S. W. R. Werner. "Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods", Journal of Sound and Vibration, 543: 117363, 2023.