Authors: Amira Val Baker, Mate Csanad, Nicolas Fellas, Nour Atassi, Ia Mgvdliashvili, Paul Oomen.

Abstract: In general, sound waves propagate radially outwards from a point source. These waves will continue in the same direction, decreasing in intensity, unless a boundary condition is met. To arrive at a universal understanding of the relation between frequency and wave propagation within spatial boundaries, we explore the maximum entropy states that are realized as resonant modes. For both circular and polygonal Chladni plates, a model is presented that successfully recreates the nodal line patterns to a first approximation. We discuss the benefits of such a model and the future work necessary to develop the model to its full predictive ability.

Disciplines: Fluid Dynamics, Physics, Physical Sciences and Mathematics, Statistical, Nonlinear, and Soft Matter Physics.

Keywords: Chladni Plates, Nodal Lines, Resonant Modes, Granular Media, Pattern Generation, Acoustics.

Citations:

APA: Val Baker, A., Csanad, M., Fellas, N., Atassi, N., Mgvdliashvili, I., Oomen, P., Exploration of Resonant Modes for Circular and Polygonal Chladni Plates. Entropy 2024, 26, 264. https://doi.org/10.3390/e26030264

MLA: Val Baker, Amira, et al. "Exploration of Resonant Modes for Circular and Polygonal Chladni Plates" Entropy. 2024; 26(3):264.

Chicago: Val Baker, Amira, Mate Csanad, Nicolas Fellas, Nour Atassi, Ia Mgvdliashvili, and Paul Oomen. 2024. "Exploration of Resonant Modes for Circular and Polygonal Chladni Plates" Entropy 26, no. 3: 264. https://doi.org/10.3390/e26030264

IEEE: [1] A. Val Baker. M Csanad, N. Fellas, N. Atassi, I. Mgvdliashvili and P. Oomen, "Exploration of Resonant Modes for Circular and Polygonal Chladni Plates" Entropy 26, no. 3: 264, 2024. https://doi.org/10.3390/e26030264

Read full article