免费共振频率计算器
计算系统的共振(固有)频率。
Open Pipe Frequency
343.00 Hz
Open Pipe Frequency vs Harmonic Number (n)
公式
## 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)
计算示例
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
常见问题
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.
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