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Purpose <p>This study aims to develop and evaluate an uncertainty-aware coupled vibroacoustic framework for steel-string guitars&#xa0;equipped with Ni–P/IF-WS<sub>2</sub>&#xa0;nanocomposite-coated strings. The central research question is how weak string-level coating perturbations&#xa0;propagate through the string–bridge–soundboard–air system and influence acoustic performance indicators.</p> Methods <p>A six-string guitar&#xa0;was modeled as a fully coupled system comprising coated steel strings, an orthotropic soundboard, a bridge coupling condition, and a&#xa0;surrounding acoustic domain governed by the linearized Euler equations. Effective coated-string properties were incorporated through&#xa0;micromechanical homogenization. Model validation was performed using band-averaged bridge-admittance comparisons with available&#xa0;experimental data under an effective nylon-string validation configuration. Monte Carlo simulations were conducted to propagate&#xa0;uncertainties in coating thickness, nanoparticle volume fraction, bridge stiffness, damping, and string-attachment stiffness.</p> Results <p>The&#xa0;nanocomposite coating produced small but physically systematic changes in sound-pressure-level variation, decay constants, spectral&#xa0;centroid, fundamental frequency, and band-energy ratio. Coating thickness and bridge stiffness were identified as the dominant&#xa0;contributors to response variability, whereas pitch-related indicators remained comparatively robust.</p> Conclusion <p>The coating is best&#xa0;interpreted as a weak distributed perturbation for fine adjustment of sustain, high-frequency energy distribution, and tonal balance,&#xa0;rather than as a mechanism for producing a substantially new audible sound. The proposed framework links nanoscale coating&#xa0;mechanics to system-level energy transfer and robust vibroacoustic design.</p>

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Coupled String-Bridge-Body Model for Vibro-Acoustic Analysis of Steel-String Guitars with Nano-Coated Strings

  • 期刊论文

  • 发表日期：

    2026年7月10日

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  • Jiapeng Liu,
  • Yue Zhou

摘要

Purpose

This study aims to develop and evaluate an uncertainty-aware coupled vibroacoustic framework for steel-string guitars equipped with Ni–P/IF-WS2 nanocomposite-coated strings. The central research question is how weak string-level coating perturbations propagate through the string–bridge–soundboard–air system and influence acoustic performance indicators.

Methods

A six-string guitar was modeled as a fully coupled system comprising coated steel strings, an orthotropic soundboard, a bridge coupling condition, and a surrounding acoustic domain governed by the linearized Euler equations. Effective coated-string properties were incorporated through micromechanical homogenization. Model validation was performed using band-averaged bridge-admittance comparisons with available experimental data under an effective nylon-string validation configuration. Monte Carlo simulations were conducted to propagate uncertainties in coating thickness, nanoparticle volume fraction, bridge stiffness, damping, and string-attachment stiffness.

Results

The nanocomposite coating produced small but physically systematic changes in sound-pressure-level variation, decay constants, spectral centroid, fundamental frequency, and band-energy ratio. Coating thickness and bridge stiffness were identified as the dominant contributors to response variability, whereas pitch-related indicators remained comparatively robust.

Conclusion

The coating is best interpreted as a weak distributed perturbation for fine adjustment of sustain, high-frequency energy distribution, and tonal balance, rather than as a mechanism for producing a substantially new audible sound. The proposed framework links nanoscale coating mechanics to system-level energy transfer and robust vibroacoustic design.