Alternate model of Chladni figures for the circular homogenous thin plate case with open boundaries

Trejo, H; Mijares-Bernal, G; Casanova, Elsa G. Ordoñez

doi:10.1088/1742-6596/582/1/012022

Cited by 6 publications

(2 citation statements)

References 5 publications

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“…Researchers also examined various shapes of the plates and the corresponding Chladni patterns [15][16][17][18]. Chladni's patterns have been obtained, including their inversions [19].…”

Section: Introductionmentioning

confidence: 99%

Chladni Plate in Anechoic Chamber: Symmetry in Vibrational and Acoustic Response

Kovacic,

Kanovic

2023

Symmetry

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A square metal plate (Chladni plate) is excited harmonically by a vibration shaker, while the whole system is set in an anechoic chamber to stop reflections, isolate the system from sound entering from the surroundings, and deal with direct sounds only. As far as the authors are aware, such an arrangement has not been achieved so far. Vibration modes are visualized by using poppy grains scattered over the upper surface of the plate and are also recorded by a camera located above it, inserted among the acoustic wedges on the roof of the chamber, which made it possible to record the patterns and avoid unpleasant sounds associated with some of them. Four distinctive vibration modes of the plate are then originally identified using vibrational and acoustic mode identification. These responses from the plate are measured both by an accelerometer attached to the central point of the plate and by a microphone set on the same vertical line as the accelerometer but above it, measuring the direct sound. The signals from the accelerometer and the microphone are then compared in two experimental arrangements, and their forms and the frequency contents are found to be equivalent. It is shown that the existing symmetry, i.e., the exact correspondence between vibrational and acoustic responses, can be used as the identifier of the patterns formed on the plate and the associated modal frequency.

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“…Researchers also examined various shapes of the plates and the corresponding Chladni patterns [15][16][17][18]. Chladni's patterns have been obtained, including their inversions [19].…”

Section: Introductionmentioning

confidence: 99%

Chladni Plate in Anechoic Chamber: Symmetry in Vibrational and Acoustic Response

Kovacic,

Kanovic

2023

Symmetry

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“…The ideal method of analysing these patterns is by solving the inhomogeneous Helmholtz equation using proper boundary conditions. However, it is difficult and time consuming to accurately employ this method, particularly in the case of vibrating plates with irregular open boundaries [5]. For example, Amore [6] computed a method for solving the Helmholtz equation using mathematical relation known as "little sinc functions" which was only applicable to irregular and/or inhomogeneous membrane with fixed boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Response variation of Chladni patterns on vibrating elastic plate under electro-mechanical oscillation

2019

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Fine grain particles such as sugar, sand, salt etc. form Chladni patterns on the surface of a thin plate subjected to acoustic excitation. This principle has found its relevance in many scientific and engineering applications where the displacement or response of components under the influence of vibration is vital. This study presents an alternative method of determining the modal shapes on vibrating plate in addition to other existing methods like the experimental method by Ernst Chladni. Three (3) finite element solvers namely: CATIA 2017 version, ANSYS R15.0 2017 version and HYPERMESH 2016 version were employed in the modelling process of the 0.40 mm x 0.40 mm plate and simulation of corresponding mode shapes (Chladni patterns) as well as the modal frequencies using Finite Element Method (FEM). Result of modal frequency obtained from the experimental analysis agreed with the FEM simulated, with HYPERMESH generated results being the closest to the experimental values. It was observed that the modal frequencies obtained from the FEM and experimental approach increased as the excitation time increased. ANSYS R15.0 and HYPERMESH software clearly represented the modal lines and mode shapes for each frequency which CATIA software was somewhat limited. This study has shown that FEM is an effective tool that can save time and energy invested in acoustic experiments in determining modal frequencies and patterns.

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Chladni Plate and Chladni Patterns—A Research Review of Theory, Modelling, Simulation and Engineering Applications

Wani,

Khedkar,

Jatti

et al. 2024

Algorithms for Intelligent Systems

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Alternate model of Chladni figures for the circular homogenous thin plate case with open boundaries

Cited by 6 publications

References 5 publications

Chladni Plate in Anechoic Chamber: Symmetry in Vibrational and Acoustic Response

Chladni Plate in Anechoic Chamber: Symmetry in Vibrational and Acoustic Response

Response variation of Chladni patterns on vibrating elastic plate under electro-mechanical oscillation

Chladni Plate and Chladni Patterns—A Research Review of Theory, Modelling, Simulation and Engineering Applications

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