Open Access
Table 1
Basic quantities and their values.
| Quantity | Symbol | Value | Unit |
|---|---|---|---|
| Upper plate made of steel | |||
| Mass density | ϱ | 8.0 × 103 | kg/m3 |
| Young’s modulus | E | 2.0 × 1011 | N/m2 |
| Poisson’s ratio | ν | 0.33 | 1 |
| Thickness | h | 0.025 | m |
| Upper plate made of concrete | |||
| Mass density | ϱ | 2.0 × 103 | kg/m3 |
| Young’s modulus | E | 1.0 × 1010 | N/m2 |
| Poisson’s ratio | ν | 0.33 | 1 |
| Thickness | h | 0.060 | m |
| Underlay of porous material | |||
| Porosity | ε | 0.50 | 1 |
| Structure factor | χ | 1.0 | 1 |
| Flow resistivity | σ | 1.0 × 104 | Pa s/m2 |
| Stiffness per unit area of the solid structure |
 |
1.0 × 106 | Pa/m |
| Thickness | d | 0.020 | m |
| Air inside the underlay | |||
| Mass density | ϱ 0 | 1.20 | kg/m3 |
| Static air pressure | p 0 | 1013.25 × 102 | Pa |
| Adiabatic exponent | κ | 1.4 | 1 |
| Overall geometry | |||
| Half edge length | L | 0.10 | m |
| Outer radius | R | 0.10 | m |
| Inner radius | r in | 1.0 × 10−3 | m |
| Harmonic excitation at the centre of the upper plate | |||
| Angular frequency | ω | Varies | 1/s |
| Force amplitude |
 |
Varies, complex | N |
| Deflection amplitude |
|
Varies, complex | m |
| Derived quantities | |||
| Mass per unit area of the upper plate |
 |
ϱh | kg/m2 |
| Bending stiffness of the upper plate | B |
 |
Nm |
| A scaling factor | α |
 |
1/m |
| A factor | γ | iωχϱ 0 + εσ | Pa s/m2 |
| A factor | δ |
ω
2 −  |
Pa/m |
| Imaginary unit | i |
 |
1 |
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