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<p>Reducing low-frequency vibration in lightweight structures remains a significant challenge due to the inherent limitations of conventional linear resonators. This paper investigates the bandgap control of a novel voltage-induced bistable electromagnetically tunable metamaterial beam (BET-MBeam) through dynamic reconfiguration of potential energy topology. The BET-MBeam integrates electromagnetically tunable resonators (EMTR) with 3D-printed cantilever beams, enabling nonlinear interaction of electromagnetic negative stiffness and mechanical positive stiffness. Theoretical modeling, numerical simulations, and experimental validation demonstrate three key findings: Voltage-induced topological phase transition: A voltage threshold triggers bistable states, and the bandgap initiation frequency is reduced by controlling the potential energy reconstruction. Nonlinear bandgap broadening: Bistable inter-well transitions enhance energy dissipation via nonlinear effect, suppressing resonance peaks by 32.7% while extending bandwidth through modal coupling. Multi-parameter synergy: A 10% increase in cantilever length reduces bistable activation voltage by 25%, while optimized mass and damping ratios enable lightweight design without compromising performance. Experimental results reach a very good agreement with theoretical predictions, showing 33.8% reduction in transmission rate peaks under bistable operation with &lt; 2% deviation. The structure’s voltage-driven reconfigurability overcomes the limitations of passive systems, enabling real-time adaptation to time-varying vibration environments. This work establishes a paradigm for smart metamaterials in vibration engineering and precision instrumentation.</p>

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Bandgap control of a metamaterial beam using voltage-induced phase transition

  • 期刊论文

  • 发表日期：

    2026年3月5日

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  • Xinlei Fan,
  • Xiaochen Mao,
  • Lifeng Wang,
  • Youheng Dong,
  • Minqiang Shao,
  • Hao Wen

摘要

Reducing low-frequency vibration in lightweight structures remains a significant challenge due to the inherent limitations of conventional linear resonators. This paper investigates the bandgap control of a novel voltage-induced bistable electromagnetically tunable metamaterial beam (BET-MBeam) through dynamic reconfiguration of potential energy topology. The BET-MBeam integrates electromagnetically tunable resonators (EMTR) with 3D-printed cantilever beams, enabling nonlinear interaction of electromagnetic negative stiffness and mechanical positive stiffness. Theoretical modeling, numerical simulations, and experimental validation demonstrate three key findings: Voltage-induced topological phase transition: A voltage threshold triggers bistable states, and the bandgap initiation frequency is reduced by controlling the potential energy reconstruction. Nonlinear bandgap broadening: Bistable inter-well transitions enhance energy dissipation via nonlinear effect, suppressing resonance peaks by 32.7% while extending bandwidth through modal coupling. Multi-parameter synergy: A 10% increase in cantilever length reduces bistable activation voltage by 25%, while optimized mass and damping ratios enable lightweight design without compromising performance. Experimental results reach a very good agreement with theoretical predictions, showing 33.8% reduction in transmission rate peaks under bistable operation with < 2% deviation. The structure’s voltage-driven reconfigurability overcomes the limitations of passive systems, enabling real-time adaptation to time-varying vibration environments. This work establishes a paradigm for smart metamaterials in vibration engineering and precision instrumentation.