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圆形和多边形克拉德尼板共振模式的探索

Exploration of Resonant Modes for Circular and Polygonal Chladni Plates.

作者信息

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

机构信息

The Works Research Institute, H-1044 Budapest, Hungary.

Department of Atomic Physics, Eötvös Loránd University, H-1117 Budapest, Hungary.

出版信息

Entropy (Basel). 2024 Mar 15;26(3):264. doi: 10.3390/e26030264.

DOI:10.3390/e26030264
PMID:38539775
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10969725/
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.

摘要

一般来说，声波从点源径向向外传播。这些波将沿相同方向继续传播，强度逐渐减弱，除非满足边界条件。为了全面理解空间边界内频率与波传播之间的关系，我们探索了作为共振模式实现的最大熵状态。对于圆形和多边形克拉德尼板，提出了一个模型，该模型成功地初步再现了节线图案。我们讨论了这种模型的优点以及将该模型发展到其完全预测能力所需的未来工作。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/910d/10969725/abc18d98a026/entropy-26-00264-g022.jpg
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Exploring the Origin of Maximum Entropy States Relevant to Resonant Modes in Modern Chladni Plates.探索现代克拉德尼板中与共振模式相关的最大熵态的起源。
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