Chladni Figures Simulation on a Rectangular Plate

An analytical model for creating flat Chladni figures is presented. The equation of a standing wave in the simplest boundary conditions and the Fourier transform are used. Top view images are shown at different frequencies. The practical significance of the results obtained for the further developme...

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Main Authors: Pavlo Ihorovych Krysenko, Maksym Olehovych Zoziuk, Oleksandr Ivanovych Yurikov, Dmytro Volodymyrovych Koroliuk, Yurii Ivanovych Yakymenko
Format: Article
Language:English
Published: Igor Sikorsky Kyiv Polytechnic Institute 2021-12-01
Series:Mìkrosistemi, Elektronìka ta Akustika
Subjects:
Online Access:http://elc.kpi.ua/article/view/241698
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author Pavlo Ihorovych Krysenko
Maksym Olehovych Zoziuk
Oleksandr Ivanovych Yurikov
Dmytro Volodymyrovych Koroliuk
Yurii Ivanovych Yakymenko
author_facet Pavlo Ihorovych Krysenko
Maksym Olehovych Zoziuk
Oleksandr Ivanovych Yurikov
Dmytro Volodymyrovych Koroliuk
Yurii Ivanovych Yakymenko
author_sort Pavlo Ihorovych Krysenko
collection DOAJ
description An analytical model for creating flat Chladni figures is presented. The equation of a standing wave in the simplest boundary conditions and the Fourier transform are used. Top view images are shown at different frequencies. The practical significance of the results obtained for the further development of the field of creating Chladni figures based on standing waves of different physical nature has been determined.
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spelling doaj.art-e1935af4ac244b31a9a5026ba09226de2022-12-21T19:46:40ZengIgor Sikorsky Kyiv Polytechnic InstituteMìkrosistemi, Elektronìka ta Akustika2523-44472523-44552021-12-0126310.20535/2523-4455.mea.241698Chladni Figures Simulation on a Rectangular PlatePavlo Ihorovych Krysenko0Maksym Olehovych Zoziuk1Oleksandr Ivanovych Yurikov2Dmytro Volodymyrovych Koroliuk3Yurii Ivanovych Yakymenko4National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”An analytical model for creating flat Chladni figures is presented. The equation of a standing wave in the simplest boundary conditions and the Fourier transform are used. Top view images are shown at different frequencies. The practical significance of the results obtained for the further development of the field of creating Chladni figures based on standing waves of different physical nature has been determined.http://elc.kpi.ua/article/view/241698Chladni figuresMetasurfacesNumerical simulationMathematical model
spellingShingle Pavlo Ihorovych Krysenko
Maksym Olehovych Zoziuk
Oleksandr Ivanovych Yurikov
Dmytro Volodymyrovych Koroliuk
Yurii Ivanovych Yakymenko
Chladni Figures Simulation on a Rectangular Plate
Mìkrosistemi, Elektronìka ta Akustika
Chladni figures
Metasurfaces
Numerical simulation
Mathematical model
title Chladni Figures Simulation on a Rectangular Plate
title_full Chladni Figures Simulation on a Rectangular Plate
title_fullStr Chladni Figures Simulation on a Rectangular Plate
title_full_unstemmed Chladni Figures Simulation on a Rectangular Plate
title_short Chladni Figures Simulation on a Rectangular Plate
title_sort chladni figures simulation on a rectangular plate
topic Chladni figures
Metasurfaces
Numerical simulation
Mathematical model
url http://elc.kpi.ua/article/view/241698
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AT maksymolehovychzoziuk chladnifiguressimulationonarectangularplate
AT oleksandrivanovychyurikov chladnifiguressimulationonarectangularplate
AT dmytrovolodymyrovychkoroliuk chladnifiguressimulationonarectangularplate
AT yuriiivanovychyakymenko chladnifiguressimulationonarectangularplate