Applied Mathematics and Mechanics (English Edition) ›› 2025, Vol. 46 ›› Issue (12): 2265-2280.doi: https://doi.org/10.1007/s10483-025-3322-9

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Single-phase multi-resonant metabeam for broadband reduction of multi-polarization low-frequency vibration

Yongzhe LI1,2, Yongqiang LI1,2, Gaoge LIANG1,2, Quanxing LIU1,2, Yong XIAO1,2,()   

  1. 1.College of Intelligence Science and Technology, National University of Defense Technology, Changsha 410073, China
    2.National Key Laboratory of Equipment State Sensing and Smart Support, National University of Defense Technology, Changsha 410073, China
  • Received:2025-06-05 Revised:2025-09-27 Published:2025-11-28
  • Contact: †Yong XIAO, E-mail: xiaoy@vip.sina.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (No. 51875569)

Abstract:

Reducing the vibration transmission in beams is of significant interest, as beams are among the most widely used basic structures in numerous practical engineering applications. However, achieving broadband suppression of multi-polarization low-frequency vibration in beams presents a challenge. This study proposes a single-phase multi-resonant metabeam, which consists of a host beam with subwavelength arrays of tunable local resonators. These resonators exhibit adjustable multi-polarization resonant modes that strongly couple with the host beam, enabling simultaneous suppression of multi-type waves over a broad frequency range. The theoretical analysis demonstrates that under the fixed total added-mass ratio (γtotal=1.5), the tailored frequency spacing (δ=25–50 Hz) and the controlled loss factor (η=0.03–0.07) act synergistically to broaden bandgaps through resonant zone overlapping and attenuation peak smoothing. The experimental validation with monolithic three-dimensional (3D)-printed specimens confirms the efficacy of this design in multi-polarization vibration control within a deep-subwavelength bandgap, opening a new avenue for designing multi-polarization vibration suppression structures.

Key words: metastructure, vibration suppression, metabeam, bandgap, multi-polarization

2010 MSC Number: 

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