Box Resonance Calculator

Box resonance refers to the phenomenon where sound waves produced within an enclosed space interact with the structure’s walls, leading to the amplification or attenuation of specific frequencies. This occurs as the sound waves bounce off the walls, reflecting and interfering with the original waves, which can result in certain frequencies being emphasized or diminished. The specific resonant frequencies are determined by the box's dimensions, material, and construction.

Box Resonance Formula

The following equation is used to calculate the box resonance cutoff frequency:

\[ f = \frac{C}{2\sqrt{e \cdot u}} \times \sqrt{\frac{m}{a^2} + \frac{n}{b^2} + \frac{p}{h^2}} \]

Where:

• \(f\) is the cutoff frequency (Hz)
• \(C\) is a constant (3×10¹¹ mm/s)
• \(e\) is the dielectric constant
• \(u\) is the magnetic permeability
• \(a, b, h\) are the length, width, and height of the box (in mm)
• \(m, n, p\) are the mode numbers for each dimension

How to Calculate Box Resonance

To calculate box resonance, input the magnetic permeability, dielectric constant, box dimensions, and mode numbers into the formula above. This will provide the cutoff frequency where resonance occurs. This frequency is important for understanding how the structure will behave in response to sound waves and can help in designing spaces with desired acoustic properties.