Chladni Cymatics & Granular Nodal Drift / 克拉尼谐振相变与声学捕获

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CONCEPT

Contrasting with the optical wave fields of the Talbot carpet by modeling acoustic plate resonance and acoustic radiation pressure. Fine granular sediment is repelled from vibrating antinodes and gathers into crisp, morphing Chladni nodal manifolds as multi-harmonic drive modes cyclically cross-fade.

LORE

Underneath the terrace slab, acoustic shear waves run through the dry sediment. 震颤在灰岩板上激起高频驻波,细微碎屑被声辐射压逐出腹点,沿静止的节线聚合成骨架般的纹路。When the harmonic modes shift, the lines dissolve and snap into new symmetries like salt on vibrating steel.

JOURNAL

Modeled acoustic radiation pressure on a thin square plate via harmonic eigenmode superposition $\Phi(x, y) = |a \cos(n\pi x)\cos(m\pi y) \pm b \cos(m\pi x)\cos(n\pi y)|$. 采用势能谷底连续密度场替代离散粒子追踪,利用负梯度幂律分配字符权重(`·` 到 `═`)。The cyclic mode cross-fade avoided sudden topological tearing, keeping density variance at 0.000055 while maintaining an edge activity of 0.426.