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<p>The propagation of multi-frequency plane waves through linear structural interfaces under two-dimensional conditions is derived. A theoretical method is developed to calculate the attenuation of incident wave spectra and predict the transmitted waveform by extending the classic Displacement Discontinuity Method (DDM) in the frequency domain. This approach addresses the challenge of complex stress wave attenuation at discontinuous structural interfaces in practical applications. Comparisons between theoretical predictions and experimental data reveal that the theoretical method generally overestimates the attenuation of stress wave components. Both alternating current (AC) and direct current (DC) components exhibit increased attenuation with higher interface roughness. The correction coefficients for the transmitted wave spectra are introduced, with their values provided based on experimental results. A validation experiment demonstrates that the corrected theoretical transmitted waveform matches well with the measured result. Furthermore, experimental observations show amplitude enhancement in certain frequency ranges, which can be attributed to interfacial gap closure that shortens the effective waveform period, shifts energy to higher frequencies, and redistributes the spectral content.</p>

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Study of Multi-frequency Plane Stress Wave Propagation Through a Two-Dimensional Structural Interface

  • 期刊论文

  • 发表日期：

    2026年4月20日

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  • Ling Yang,
  • Bangbiao Wu,
  • Wei Yao,
  • Dongyan Sun,
  • Zhenguo Lei

摘要

The propagation of multi-frequency plane waves through linear structural interfaces under two-dimensional conditions is derived. A theoretical method is developed to calculate the attenuation of incident wave spectra and predict the transmitted waveform by extending the classic Displacement Discontinuity Method (DDM) in the frequency domain. This approach addresses the challenge of complex stress wave attenuation at discontinuous structural interfaces in practical applications. Comparisons between theoretical predictions and experimental data reveal that the theoretical method generally overestimates the attenuation of stress wave components. Both alternating current (AC) and direct current (DC) components exhibit increased attenuation with higher interface roughness. The correction coefficients for the transmitted wave spectra are introduced, with their values provided based on experimental results. A validation experiment demonstrates that the corrected theoretical transmitted waveform matches well with the measured result. Furthermore, experimental observations show amplitude enhancement in certain frequency ranges, which can be attributed to interfacial gap closure that shortens the effective waveform period, shifts energy to higher frequencies, and redistributes the spectral content.