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Acoustic Analysis Tool

Acoustic Standing Wave Simulator

Visualize acoustic standing waves and mode shapes in closed, open, and half-open tubes with real-time animation. Adjust tube length, temperature, and boundary conditions to intuitively understand natural frequencies and sound pressure distribution.

$$f_n = \frac{n \cdot c}{2L}, \quad c = 331.3\sqrt{\frac{T}{273.15}} \text{ [m/s]}$$
Parameters
Analysis Mode
Boundary Condition
Tube Length L [m] 1.00 m
Temperature T [°C] 20 °C
Mode Order n 1
×5
Natural Freq. fₙ
—
Hz
Wavelength λ
—
m
Sound Speed c
—
m/s
Antinodes
—
count
Sound Pressure Standing Wave (Animation) Mode 1 / f = —
Closed End (Pressure Antinode)
Closed End (Pressure Antinode)
Harmonic Series (n = 1–6)
Theory — Tube Acoustic Resonance & Room Acoustics

Closed / Open Tube (Equivalent)

$$f_n = \frac{n \cdot c}{2L}, \quad n = 1,2,3,\ldots$$

Closed tube: pressure antinodes at both ends. Open tube: pressure nodes at both ends. Mode shapes differ.

Half-Open Tube (One Open, One Closed)

$$f_n = \frac{(2n-1) \cdot c}{4L}, \quad n = 1,2,3,\ldots$$

Only odd harmonics exist. The 2nd harmonic (one octave up) is absent.

Temperature Dependence of Sound Speed

$$c = 331.3\sqrt{\frac{T[\text{K}]}{273.15}} \approx 331.3 + 0.607 \cdot t[\text{°C}]$$

Higher temperatures increase sound speed, raising resonance frequencies.

3D Room Modes

$$f_{n,m,l} = \frac{c}{2}\sqrt{\left(\frac{n}{L}\right)^2 + \left(\frac{m}{W}\right)^2 + \left(\frac{l}{H}\right)^2}$$

Three types: axial (1 axis), tangential (2 axes), and oblique (3 axes) modes.