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April 26, 20260 citationsOpen Access

The Tree as a Hierarchical Acoustic Resonator: five standing waves, cascaded energy transfer, and an acoustic funnel from trunk to stoma

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PBPeter BersimenkoIBIvan and Peter Bersimenko

Key Points

  • This research explores how trees act as acoustic resonators with multiple standing waves, impacting their health and response to wind.
  • Analysis of tree spiral architecture and its effects on airflow and standing waves at different scales.
  • Investigation of energy transfer from trunk to stoma and its implications for mechanoreceptor functioning.
  • Assessment of resonant vibrations and their role in tree health diagnostics.
  • Five levels of standing waves identified, with characteristic lengths ranging from metres at the trunk to micrometres at the stoma.
  • Cascading wind energy transfer observed from larger structures to smaller ones.
  • Mechanoreceptor activation in stomata through resonant vibrations linked to tree health diagnostics.

Abstract

We propose that a tree with a spiral crown architecture featuring alternating rotational directions (Paper 1) functions as a hierarchical acoustic resonator with five coupled standing waves at different spatial scales. Alternating directions of nested spirals (right–left–right at trunk–major branch–minor branch–petiole levels) creates partial reflection of airflow at each level boundary. Standing pressure waves form between pairs of adjacent reflectors, with characteristic lengths from metres (trunk) to micrometres (stoma). All five levels are acoustically coupled: standing wave nodes at level N coincide with attachment points of level N+1 elements. Wind energy cascades from large to small scales. We analyse: self-resonance condition (Kármán vortices from the macro-spiral matching trunk standing wave natural frequency), broadband wind energy capture, modal selection in the hierarchical resonator, mechanoreceptor stomatal stimulation through resonant vibration, and acoustic tree health diagnostics from the resonance spectrum.

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Cite This Study

Bersimenko et al. (2026) studied this question.

synapsesocial.com/papers/69edad8f4a46254e215b53c8https://doi.org/10.5281/zenodo.19739689
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