<p>The operation of precision machinery generates micro-vibrations characterized by broad frequency bands and time-varying properties. Conventional vibration isolation systems, however, are often limited in their ability to suppress low-frequency vibrations due to constraints in flexible mode control, making them inadequate for effective low-frequency broadband vibration mitigation. To address this challenge, this paper proposes a ring-shaped metamaterial vibration isolator designed to achieve enhanced low-frequency broadband vibration suppression. By curving wavy metamaterial beams into a closed-loop configuration, the structure attains a pseudo-infinite periodic characteristic within a compact form factor. Based on the Floquet-Bloch theorem, a theoretical model of the ring-shaped metamaterial is established, and the dispersion relation is derived using the transfer matrix method. The influences of both material and geometric parameters on the bandgap behavior are systematically investigated. An experimental platform is constructed to validate the analytical approach, and the results show good agreement with theoretical predictions. The study demonstrates that the pseudo-infinite periodicity inherent in the ring-shaped metamaterial enables the generation of broader bandgaps compared to conventional straight-beam configurations within the same spatial constraints, leading to significantly improved vibration isolation performance in compact environments.</p>

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Transverse vibration isolation performance of a wavy metamaterial ring

  • Jia-Long Wang,
  • Ze-Qi Lu,
  • Long Zhao,
  • Hu Ding,
  • Li-Qun Chen

摘要

The operation of precision machinery generates micro-vibrations characterized by broad frequency bands and time-varying properties. Conventional vibration isolation systems, however, are often limited in their ability to suppress low-frequency vibrations due to constraints in flexible mode control, making them inadequate for effective low-frequency broadband vibration mitigation. To address this challenge, this paper proposes a ring-shaped metamaterial vibration isolator designed to achieve enhanced low-frequency broadband vibration suppression. By curving wavy metamaterial beams into a closed-loop configuration, the structure attains a pseudo-infinite periodic characteristic within a compact form factor. Based on the Floquet-Bloch theorem, a theoretical model of the ring-shaped metamaterial is established, and the dispersion relation is derived using the transfer matrix method. The influences of both material and geometric parameters on the bandgap behavior are systematically investigated. An experimental platform is constructed to validate the analytical approach, and the results show good agreement with theoretical predictions. The study demonstrates that the pseudo-infinite periodicity inherent in the ring-shaped metamaterial enables the generation of broader bandgaps compared to conventional straight-beam configurations within the same spatial constraints, leading to significantly improved vibration isolation performance in compact environments.