Non-Linear Modal Coupling, Commensurate Intersite Energy Transfer, and Structural Memory in Solid-Plate Mechanical Resonators

This technical report investigates non-linear modal coupling and hysteretic mechanical persistence in a finite continuous support driven by dual commensurate acoustic and vibrotactile sources. By coupling a low-frequency inertial pump (13.15 Hz) with an acoustic probe tone (210.40 Hz, exact 16:1 frequency ratio), the system develops a broad harmonic frequency comb governed by non-linear plate dynamics. Comparative spectral analysis confirms that following the cessation of the 210.40 Hz acoustic drive, the system maintains a structured modal reconfiguration and noise-floor suppression (5–15 dB) under continuous pump operation, contrasting sharply with isolated cold-state excitation. Both Spanish and English technical versions are provided alongside analytical derivations using non-linear von Kármán plate equations.