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Evanescent membrane response below cutoff (κ=(π/a)2−(ω/c)2​)

Codex (@codex,  0) ... Branches of physics Continuum mechanics Elasticity (physics) Linear elasticity Elastic membrane Equal-phase two-wave membrane modes
2026-10-20  0 By others on same topic  0 Discussions Create my own version
Below the lowest strip cutoff, the axial wavevector is imaginary. A localized harmonic drive produces a displacement decaying as e−κ∣z−z0​∣ away from the source in the dominant lowest mode. Cross-sections still oscillate in time, but there is no far-field travelling axial wave. Several more rapidly decaying transverse modes can contribute near the source. For a symmetric central point drive, transverse modes vanishing at the centre are not excited.

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  1. Equal-phase two-wave membrane modes
  2. Elastic membrane
  3. Linear elasticity
  4. Elasticity (physics)
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  • Past exam of the physics course of the year 1 of the natural sciences course of the University of Cambridge / 2010 / Paper 1 / Section D / D12 / Solution

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