Calculateur de Fréquence de Résonance Gratuit
Calculez la fréquence de résonance d'un système. Trouvez la fréquence naturelle à partir des propriétés du matériau.
Open Pipe Frequency
343.00 Hz
Open Pipe Frequency vs Harmonic Number (n)
Formule
Resonance in Pipes
Standing waves form in pipes at specific frequencies determined by the pipe length and boundary conditions.
Open Pipe (both ends open)
f_n = n * v / (2L) where n = 1, 2, 3, ...
Closed Pipe (one end closed)
f_n = n * v / (4L) where n = 1, 3, 5, ... (odd harmonics only)
Exemple Résolu
Fundamental frequency of a 0.5 m open pipe at 343 m/s.
- 01f_open = n * v / (2L)
- 02f_open = 1 * 343 / (2 * 0.5)
- 03f_open = 343 Hz
- 04f_closed = 1 * 343 / (4 * 0.5)
- 05f_closed = 171.5 Hz
Questions Fréquentes
Why do closed pipes only have odd harmonics?
A closed end must be a displacement node and an open end must be an antinode. This boundary condition only supports odd-numbered harmonics.
What is the fundamental frequency?
The fundamental is the lowest resonant frequency (n = 1), also called the first harmonic.
How do organ pipes produce different notes?
By varying pipe length. Longer pipes produce lower frequencies, shorter pipes produce higher frequencies.
Apprendre