Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Rijke Tube Resonator

瑞克管共振器

Add video
添加视频

The Rijke tube is an interesting example of an open cylinder resonator. Folds of copper screen are positioned about one-fifth of the way up the tube. When the screen is heated in a burner flame and then moved to one side of the flame, it will produce a strong tone at its resonant frequency for several seconds. The standard explanation has to to with the ease of excitation of a system at its resonant frequency. The air which passes up through the red hot screen is heated and expands, producing a pulse of air toward the center of the pipe. Like a push which raises a mass on a spring above its equilibrium position, that pulse of air will start the system into oscillation at its natural frequency. Note from the video clip that the excitation of the pipe depends upon the chimney effect of air moving up the path and the sound stops when the tube is turned horizontal.

瑞克管是一个有趣的开放圆柱体共振器例子。铜网折弯位于管子约五分之一的高度处。当网状物在火焰中加热后,被移至火焰一侧,它会在其共振频率上产生持续数秒的强音。标准解释涉及系统在共振频率上容易被激发的特性。空气通过红色炽热的网状物向上流动,被加热并膨胀,产生向管子中心传播的气流脉冲。就像一个推动质量离开弹簧的平衡位置一样,这个气流脉冲会使系统在自然频率上开始振动。从视频片段中可以看出,管子的激发依赖于空气沿路径向上流动的烟囱效应,而当管子水平放置时声音会停止。
Construction details
构造细节
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Periodic motion concepts

Resonance concepts
索引 周期性运动概念 共振概念
 
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Rijke Tube Construction

里克管构造

The Rijke tube resonator used in the example was made from stainless steel tubing of about 3.5 cm diameter. A prepared strip of copper screen wire was folded to form three layers in a square slightly larger than the pipe diameter. It was inserted about a fifth of the way up the tube and held in place by a metal ring made of spring steel.

示例中使用的Rijke管共振器是由直径约3.5厘米的不锈钢管制成的。一块预先准备的铜网线条被折叠成三层,形成一个略大于管道直径的正方形。该结构被插入管子约五分之一的位置,并用一种由弹簧钢制成的金属环固定在位。

The retaining ring has been necessary in my experience. While the copper screen is elastic enough to hold itself in place when it is new, it quickly loses its "springiness" after a few heatings and just drops out. The copper screens do not last long in any case, developing a hole in the center after a couple of dozen heatings.

在我的经验中,保持环是必要的。虽然铜网在最初时弹性足够,能够自行保持位置,但经过几次加热后很快失去其“弹性”,最终会脱落。无论如何,铜网都不太耐用,经过几次加热后中心就会出现孔洞。

A useful demonstration set is three pipes constructed with length ratios 4:5:6 so that you can demonstrate the musical progression of a major triad.

一个有用的演示装置是由三个长度比为4:5:6的管子构成的,可以用来演示大三和弦的音乐进展。

The following is a set of measurements made with a set of three tubes of length 40, 48 and 60 cm, constituting a just major triad in pitch. The open tube resonance frequency is affected by the temperature since it changes the sound speed. The measured frequency can be used to estimate the average air temperature in the air column.

以下是一组使用长度为40、48和60厘米的三根管子进行的测量,这三根管子构成一个纯律大三和弦。开放管的共振频率受温度影响,因为温度会改变声速。测量得到的频率可以用来估计空气柱中的平均空气温度。
Length
of tube
管长
Measured
frequency
测量频率
Estimated
temperature
估计温度
60 cm
60 厘米
303 Hz
75 °C
48 cm
48 厘米
366 Hz
59 °C
40 cm
40 厘米
477 Hz
117 °C

In estimating the temperature, it was assumed that there is an "end correction" of 0.6r at each end of the tube, which adds 2.1 cm to the effective length of each tube. With that included, the temperature was calculated from the sound speed relationship.

在估算温度时,假设管子两端各有一个“端修正”量0.6r,使每根管子的有效长度增加2.1厘米。将此修正量计入后,温度便根据声速关系进行了计算。

Since the tubes cool quickly after being moved off the flame of the laboratory burner, the differences in temperature above are thought to just indicate that the measurement on the 48 cm tube above was just delayed more than the others to get a cooler temperature. The sound persists for several seconds and the drop in pitch during that time is clearly audible.

由于管子在移离实验室火焰后冷却得很快,因此温度差异被认为只是表明在48厘米管子上方的测量只是比其他测量延迟了更长的时间以获得更凉的温度。声音持续了几秒钟,这段时间内音调的下降显然可以听到。

This is an example of the measurement of the frequency of the wave using MacScope by Elisha Huggins. This data is for the 40cm tube after a little more cooling time than the measurement above.

这是使用Elisha Huggins的MacScope测量波的频率的一个例子。此数据是针对40厘米管子的,其冷却时间比上述测量稍长。
Index

Periodic motion concepts

Resonance concepts
索引 周期性运动概念 共振概念
 
HyperPhysics***** Sound
HyperPhysics ***** 声音
R Nave
Go Back
返回