Wave turbulence refers to a statistical state that describes a nonlinear, random ensemble of waves, as commonly observed on the ocean’s surface. Since the 1960s, a theoretical framework known as Weak Turbulence Theory has been developed to model cases where nonlinearity is weak. However, whether this theory can accurately describe real-world systems remains an open question.

In this project, we will focus on a solid system that supports elastic waves: a vibrating elastic plate, or more precisely—a gong! The rich and distinctive sound of a gong arises from the nonlinear transfer of energy from low-frequency excited modes to higher-frequency ones, a phenomenon known as the energy cascade of turbulence.

In this lab course, we will introduce a profilometry technique based on high-speed imaging, enabling us to capture the gong’s vibrations with both spatial and temporal resolution. This will allow for an in-depth exploration of the physical properties underlying the gong’s unique sound.

This lab course is well-suited for M1 and M2 students with a background in continuum mechanics (either solid or fluid mechanics), and a basic understanding of statistical and Fourier analysis.

Observing the deformation through high-speed imaging and analyzing the statistical properties of wave turbulence.

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