Die Zeit 1790–1802

Ullman, Dieter

doi:10.1007/978-3-0348-9195-0_4

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2024

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“…One of the most extensively studied wave systems is that of nodal line patterns, formed by the excitation of a thin plate. In 1787, building on the observations of Galileo and Hooke, the musician and physicist Ernst Chladni demonstrated the various modes of vibration on a rigid surface [5][6][7]. These nodal patterns are now known as Chladni patterns or Chladni Figures, and the plates that are used as rigid surfaces are known as Chladni plates.…”

Section: Introductionmentioning

confidence: 99%

Exploration of Resonant Modes for Circular and Polygonal Chladni Plates

Val Baker,

Csanad,

Fellas

et al. 2024

Entropy

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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.

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Section: Introductionmentioning

confidence: 99%