Alternate model of Chladni figures for the circular homogenous thin plate case with open boundaries
The wave equation is a direct but a complex approach to solve analytically for the Chladni figures, mainly because of the complications that non-smooth and open boundary conditions impose. In this paper, we present an alternate solution model based on the principle of Huygens-Fresnel and on the idea...
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| Main Authors: | , , |
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| Format: | Artículo |
| Language: | English |
| Published: |
IOP Science
2017
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11961/2726 |
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| Summary: | The wave equation is a direct but a complex approach to solve analytically for the Chladni figures, mainly because of the complications that non-smooth and open boundary conditions impose. In this paper, we present an alternate solution model based on the principle of Huygens-Fresnel and on the ideas of Bohr for the hydrogen atom.
The proposed model has been implemented numerically and compared, with good agreement, to our own experimental results for the case of a thin homogenous circular plate with open boundaries. |
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