![]() ![]() The point interaction in terms of the Dirac d-function potential has attracted great interest in the development and advancement of quantum mechanics. However, there is no theoretical model that includes the action of the point interaction between the plate and the driving source. The formation of modern Chladni patterns has been explored via Helmholtz equation, RLC networks, and Kirchhoff–Love equation. ![]() Owing to the point interaction between the plate and the driving source, the nodal patterns observed in the modern Chladni plate have been observed to be entirely different from the eigenmodes of the free plate. Nowadays, the modern Chladni plate, as shown in Figure 1b, is excited by an electronically controlled point oscillator to generate the resonant modes systematically. The resonant modes excited by a bow are usually the eigenmodes of the plate. Chladni’s work is the first real attempt to explore acoustic properties through experiments. In the 18th century, Ernst Chladni employed a bow to excite a thin plate, and used small particles to visualize the nodal lines of the resonance, as shown in Figure 1a.
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