Looking for the spectrum of equilateral drums

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Heidi
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Hi Pfs,
I found the formulas for the frequencies of half square triangles, and rectangles.
But nothing on hexagonal drums or equilateral triangles.
(it would nice to get them with Dirichlet and Neumann bordery conditions)
thanks
 

Related to Looking for the spectrum of equilateral drums

1. What is the spectrum of equilateral drums?

The spectrum of equilateral drums refers to the set of frequencies at which an equilateral drum can vibrate. These frequencies are determined by the shape and size of the drum, as well as the material it is made of.

2. How is the spectrum of equilateral drums calculated?

The spectrum of equilateral drums is typically calculated using mathematical techniques such as the method of separation of variables or finite element analysis. These methods allow researchers to determine the natural frequencies at which the drum can vibrate.

3. Why is studying the spectrum of equilateral drums important?

Studying the spectrum of equilateral drums is important because it can help us understand the behavior of drums in different situations, such as in musical instruments or in industrial applications. By knowing the natural frequencies of a drum, we can predict how it will respond to different types of stimuli.

4. What are some real-world applications of the spectrum of equilateral drums?

The spectrum of equilateral drums has applications in various fields, such as acoustics, music, and engineering. For example, understanding the natural frequencies of drums can help in designing better musical instruments or optimizing the performance of industrial machinery.

5. Can the spectrum of equilateral drums be modified?

Yes, the spectrum of equilateral drums can be modified by changing the shape, size, or material of the drum. By altering these parameters, researchers can influence the natural frequencies at which the drum vibrates, allowing for greater control over its behavior.

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