Wall Coincidence Frequency Calculator
Idealcriticalcoincidencefrequencythinplate c²/(2π)√(m/D),not arbitrarySTC from masslaw. Actual matched calibration,units,edition,geometry/measurement and model applicability independently established;not hearing/structural safety,compliance or universal perceptual prediction.
Description
A thin plate’s critical coincidence frequency marks where bending-wave behavior interacts with sound radiation under an ideal model.
A thin plate’s critical coincidence frequency marks where bending-wave behavior interacts with sound radiation under an ideal model.1
This calculator uses sound speed, plate mass per area and flexural rigidity rather than predicting a complete wall transmission rating.
When to use Wall Coincidence Frequency Calculator
Use this tool to apply the stated wall coincidence frequency calculator operation with an explicit input and unit basis.
How to use Wall Coincidence Frequency Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualMediumSoundSpeed, actualPlateMassPerArea, actualPlateFlexuralRigidity and run the tool.
- Read result.value using the output meanings below.
- If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualMediumSoundSpeed | Medium Sound Speed. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualPlateMassPerArea | Plate Mass Per Area. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualPlateFlexuralRigidity | Plate Flexural Rigidity. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require all three inputs positive and on a coherent unit basis. Evaluate c²/(2π) times sqrt(massPerArea/flexuralRigidity); SI inputs give hertz. Plate assumptions and rigidity calibration remain external.
fc = c²/(2π) × sqrt(massPerArea/flexuralRigidity) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Ideal frequency in Hz when all inputs use coherent SI units. | number |
{
"input": {
"actualMediumSoundSpeed": 1,
"actualPlateMassPerArea": 1,
"actualPlateFlexuralRigidity": 1
},
"output": {
"result": {
"value": 0.15915494309189535
}
}
}Limitations and assumptions
The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.
Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.
Alternative or Complementary methods
For a related operation, use Clamped Bar Fundamental Calculator. A cantilever bar has one fixed end and one free end, unlike a bar clamped at both ends.
For a related operation, use Circular Membrane Fundamental Calculator. A tensioned circular membrane’s fundamental axisymmetric mode depends on radius, tension and areal mass.
References
-
Wall Coincidence Frequency Calculator — tool.io
Similar or alternative tools
- Clamped Bar Fundamental Calculator
A cantilever bar has one fixed end and one free end, unlike a bar clamped at both ends.
- Circular Membrane Fundamental Calculator
A tensioned circular membrane’s fundamental axisymmetric mode depends on radius, tension and areal mass.