Vibrations of a circular drum:: Some less boring ones

C.W.J. Lemmens

Vibrations of a circular drum: Some less boring ones

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Abstract

Vibrations of a circular drum is in almost all textbooks discusssed with the standard drum, having a Dirichlet boundary and no interior boundary. Ths article describes some less common (less boring ;-) ) drum types:

1) Neumann boundary outside and a support in a point exactly in the center
2) Neumann boundary outside and a ring support in the center, creating a Dirichlet boundary in the center
3) Dirichlet boundary outside and a hole in the center with a free moving boundary (Neumann boundary)
4) Dirichlet boundary outside and a hole in the center which is fixed at the boundary (Dirichlet boundary)

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Reports of the Department of Applied Mathematical Analysis
Volume	2022
Issue number	1
Publication status	Published - 2022

Keywords

vibrating drum

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abstract = "Vibrations of a circular drum is in almost all textbooks discusssed with the standard drum, having a Dirichlet boundary and no interior boundary. Ths article describes some less common (less boring ;-) ) drum types: 1) Neumann boundary outside and a support in a point exactly in the center 2) Neumann boundary outside and a ring support in the center, creating a Dirichlet boundary in the center 3) Dirichlet boundary outside and a hole in the center with a free moving boundary (Neumann boundary) 4) Dirichlet boundary outside and a hole in the center which is fixed at the boundary (Dirichlet boundary) ",

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AB - Vibrations of a circular drum is in almost all textbooks discusssed with the standard drum, having a Dirichlet boundary and no interior boundary. Ths article describes some less common (less boring ;-) ) drum types: 1) Neumann boundary outside and a support in a point exactly in the center 2) Neumann boundary outside and a ring support in the center, creating a Dirichlet boundary in the center 3) Dirichlet boundary outside and a hole in the center with a free moving boundary (Neumann boundary) 4) Dirichlet boundary outside and a hole in the center which is fixed at the boundary (Dirichlet boundary)

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Vibrations of a circular drum: Some less boring ones

Abstract

Keywords

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