VM283

VM283
Low Reduced Frequency Model for Visco-thermal Fluid with Thin Structure

Overview

Reference:

Beltman, W.M, “Viscothermal Wave Propagation Including Acousto-Elastic Interaction”, PhD Thesis, University of Twente, Mechanical Engineering Department, 1998, pp. 128-136

Analysis Type(s):
Full Harmonic Analysis (ANTYPE = 3)
Element Type(s):
3D Acoustic Fluid 8-Node Solid Elements (FLUID30)
3D 8-Node Structural Solid Shell (SOLSH190)
Input Listing: vm283.dat

Test Case

The acoustic transmission loss between two rooms separated by a double-wall aluminum panel is calculated in a frequency range from 10 to 300 Hz. An excitation source in room A generates a pressure field, and the panel transmits a part of the incident energy into room B. All transmitted energy will be absorbed at the impedance boundary at the far end of room B. The walls of room A and B are hard, except for the sides coupled to the double wall panel and the impedance boundary.

Figure 492: Double Wall Configuration and Finite Element Model

Double Wall Configuration and Finite Element Model
Double Wall Configuration and Finite Element Model

Material PropertiesGeometric Properties
For air:
Speed of sound = 340 m/s
Density = 1.2 kg/m3
Dynamic viscosity = 18.2 x 10-6 Pa⋅s
Thermal conductivity = 25.6 x 10-3 W/m⋅K
Specific heat = 1004 J/kg⋅K
Heat coefficient at constant volume per unit of mass = 1004/1.4 J/kg⋅K
For aluminum plates:
Density = 2710 kg/m3
Elastic modulus = 70 x 109 N/m2
Poisson’s ratio = 0.3
Thickness of visco-thermal thin layer = 2 mm
Thickness of aluminum plates = 1 mm and 2 mm
Height of room A = 0.5 m
Height of room B = 2.0 m
Width = 0.49 m
Depth = 0.245 m

Analysis Assumptions and Modeling Notes

The lengths of room A and room B along the Z-direction are meshed with 10 and 15 FLUID30 elements, respectively. The width is meshed with 20 FLUID30 elements. The aluminum plates are meshed using structural solid shell elements (SOLSH190). The visco-thermal layer between the aluminum plates and the volumes of room A and B are all meshed using pure acoustic elements, except for interfaces with structural solid shell elements. On these interfaces, coupled acoustic elements with fluid-structure interaction (FSI) are applied. Loading is not considered in this model, because transmission loss is calculated from the ratio of average pressures. The infinite radiation impedance boundary condition is specified to absorb waves reflected out of the system.

Results Comparison

The transmission loss (TL) is calculated using the average nodal pressures in room A and across the absorbing boundary of room B, respectively.

The TL value obtained from Mechanical APDL shows the same variation trend versus frequency as depicted in Figure 6.31 in the reference material. The computed TL values at the peaks and troughs are listed with target values obtained from the reference figure.

Frequency (Hz)Target (dB)Mechanical APDLRatio
1029.00028.7081.007
400.0000.0711.000
8022.00021.5441.000
8420.00020.0001.000
21451.50049.9840.971
2288.0007.6420.950
27834.00032.5760.988
28624.00022.6960.908
30028.50026.6850.921

Figure 493: Transmission Loss Versus Frequency for the Double Wall Configuration Obtained from Mechanical APDL

Transmission Loss Versus Frequency for the Double Wall Configuration Obtained from Mechanical APDL