Constructing a Tubular Bell Array: Solving the Wave Equation

In summary, the problem presented is how to build a tubular bell array using aluminium or copper tubes and how to state the wave equation for these tubes. The goal is to obtain the frequencies for a standing wave. The solution is that the wave equation for open-ended tubes is the same as for strings and the velocity of propagation depends on the velocity of sound.
  • #1
ELESSAR TELKONT
44
0
I have the next theoretical-practical problem. I have to build a tubular bell array (like that at symphonic orchrestas) with tubes (not rods) of aluminium or copper. The principal problem I have is I don't know how to state the wave equation for a tube (I have done it for a string). How I do it?

When I have the wave equation stated I must get the frecuencies to get a standing wave. Obviously this is what I want.

Could you help me?
 
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  • #2
If the bells are open at both ends, the wave equation is the same as for strings.
 
  • #3
Ok but of what quantities the velocity of propagation depends on that's my problem.
 
  • #4
The velocity of propagation is the velocity of sound.
 

FAQ: Constructing a Tubular Bell Array: Solving the Wave Equation

What is a tubular bell array?

A tubular bell array is a musical instrument consisting of multiple tubular bells of various sizes and pitches that are arranged in a specific formation and played together to create a harmonious sound.

How does a tubular bell array work?

The tubular bell array works by using the principles of the wave equation to create vibrations in the air. When a bell is struck, it creates a sound wave that travels through the air. The specific placement and size of each bell in the array allows for these sound waves to interfere with each other in a controlled manner, producing a desired sound.

What is the wave equation and how is it used in constructing a tubular bell array?

The wave equation is a mathematical formula that describes the behavior of waves, including sound waves. In constructing a tubular bell array, the wave equation is used to determine the precise placement and size of each bell in the array to create specific sound waves and achieve the desired sound.

What are the challenges in constructing a tubular bell array?

One of the main challenges in constructing a tubular bell array is achieving the desired sound. This requires precise calculations and measurements based on the wave equation to ensure that the bells are placed and sized correctly. Additionally, the material and quality of the bells themselves can also affect the sound produced.

Are there any real-world applications for tubular bell arrays?

Yes, tubular bell arrays have been used in musical performances and compositions, particularly in the genre of experimental or avant-garde music. They have also been used in sound installations and as part of interactive art installations. Additionally, some scientists have used tubular bell arrays to study and analyze the properties of sound waves.

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