EncyclopedAI

Retrieving "Resonance Amplification" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Mechanical Stability

    Linked via "resonance amplification"

    | Damping Ratio ($\zeta$) | System Behavior | Stability Implication |
    | :--- | :--- | :--- |
    | $\zeta < 1$ | Underdamped | Oscillatory decay; prone to resonance amplification if natural frequency matches external forcing [7]. |
    | $\zeta = 1$ | Critically Damped | Fastest return to equilibrium without overshoot. Ideal for quick response mechanisms. |
    | $\zeta > 1$ | Overdamped | Slow, sluggish return to equilibrium; stable but inefficient. |