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Updated: Jun 18, 2025

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
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Surface wave mitigation by periodic wave barriers under a moving load: theoretical analysis, numerical simulation and

Yu Ni1, Zhifei Shi1

  • 1Institute of Smart Materials and Structures, School of Civil Engineering, Beijing Jiaotong University , Beijing 100044, People's Republic of China.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 29, 2024
PubMed
Summary

This study introduces periodic wave barriers (PWB) for vibration mitigation, considering the Doppler effect from moving loads. Optimal PWB design requires matching attenuation zones to the load-induced surface wave frequencies for effective vibration reduction.

Keywords:
moving loadperiodic structuresurface wavesvibration mitigationwave barrier

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Area of Science:

  • Solid Mechanics
  • Vibration Engineering
  • Acoustic Metamaterials

Background:

  • Periodic wave barriers (PWB) are used for vibration mitigation.
  • Previous studies often neglect the Doppler effect in moving load vibration control.

Purpose of the Study:

  • Investigate the impact of moving load speed and frequency on surface waves.
  • Improve PWB design for ambient vibration reduction and isolation.
  • Incorporate the Doppler effect into PWB design for moving loads.

Main Methods:

  • Derived theoretical expressions for surface wave frequency bands caused by moving loads.
  • Validated theoretical models with numerical simulations for various traffic loads.
  • Conducted experimental studies to verify theoretical and numerical findings.
  • Introduced periodic empty trench and pile barriers.

Main Results:

  • Established the theoretical expression for the main frequency band of surface waves from moving loads.
  • Demonstrated good agreement between theoretical, numerical, and experimental results.
  • Revealed inherent properties of wave propagation under moving loads.
  • Confirmed that matching PWB attenuation zones to target frequency bands ensures effective vibration mitigation.

Conclusions:

  • The Doppler effect significantly influences surface waves from moving loads.
  • Optimized PWB design, considering the Doppler effect, enhances vibration mitigation.
  • Periodic wave barriers are effective for reducing vibrations induced by moving loads.