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Background <p>Periodic structures composed of non-uniform materials exhibit unique wave propagation and vibration suppression&#xa0;characteristics, which are of great significance in the dynamic optimization and vibration control of complex&#xa0;engineering structures.</p> Methods <p>A one-dimensional periodic beam and a two-dimensional frame structure with non-uniform materials are modeled&#xa0;using Timoshenko beam theories combined with the spectral element method. Finite element simulations are used for&#xa0;validation.</p> Results <p>The proposed method accurately predicts band gaps and vibration responses, especially in high-frequency ranges&#xa0;where FEM shows dispersion. Multi-component and non-uniform designs broaden the band gap and enhance vibration&#xa0;reduction.</p> Conclusions <p>This method provides an efficient tool for analyzing and optimizing the dynamic performance of complex non-uniform&#xa0;frame structures.</p>

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Theoretical Modeling and Spectral Element Analysis of Inhomogeneous Material Frame Structures

  • 期刊论文

  • 发表日期：

    2025年6月11日

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  • Kantan Wang,
  • Zhen Zhang,
  • Yu Su,
  • Ning Guo,
  • Qin Wang,
  • Junwei Tian,
  • Peng Zhao

摘要

Background

Periodic structures composed of non-uniform materials exhibit unique wave propagation and vibration suppression characteristics, which are of great significance in the dynamic optimization and vibration control of complex engineering structures.

Methods

A one-dimensional periodic beam and a two-dimensional frame structure with non-uniform materials are modeled using Timoshenko beam theories combined with the spectral element method. Finite element simulations are used for validation.

Results

The proposed method accurately predicts band gaps and vibration responses, especially in high-frequency ranges where FEM shows dispersion. Multi-component and non-uniform designs broaden the band gap and enhance vibration reduction.

Conclusions

This method provides an efficient tool for analyzing and optimizing the dynamic performance of complex non-uniform frame structures.