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<p>This study tackles the persistent challenge of low-frequency wave mitigation in lightweight structures by introducing two innovative, single-phase metamaterials: the First-order (FBCM) and Second-order (SBCM) Bezier-based curved models. These designs strategically integrate Bezier-based double-curved ligaments into a hybrid honeycomb architecture. As rigorously demonstrated through Bloch’s theorem and finite element analysis, this configuration achieves exceptional band gap coverages of 45.5% (FBCM) and 57.7% (SBCM) within 2&#xa0;kHz regime. Beyond omnidirectional mitigation, an in-depth evaluation of the iso-frequency contours reveals highly anisotropic wave propagation within the operational pass bands. This pronounced directionality is quantitatively visualized via phase and group velocity profiles and strongly corroborated by energy directivity patterns. Consequently, this dynamic behavior unlocks advanced capabilities for precise wave steering and spatial waveguiding. Furthermore, this work presents the first investigation into the dynamic effects of external point masses on parametrically defined curved configurations. This incorporation is shown to markedly suppress the band gap opening frequencies, thereby substantially enhancing low-frequency mitigation capabilities. Crucially, comprehensive parametric studies confirm that the band gaps can be deterministically tailored by optimizing the Bezier curve parameters in tandem with the attached mass magnitude. Ultimately, the proposed models bridge the gap between advanced wave control and practical manufacturability, providing a robust pathway for developing next-generation lightweight smart materials and sophisticated wave mitigation systems.</p>

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Tailoring low-frequency wave mitigation in Bezier-based curved metamaterials with external masses

  • 期刊论文

  • 发表日期：

    2026年7月2日

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  • Amir Mohammad Balizadeh,
  • Amin Yaghootian,
  • Hamid M. Sedighi

摘要

This study tackles the persistent challenge of low-frequency wave mitigation in lightweight structures by introducing two innovative, single-phase metamaterials: the First-order (FBCM) and Second-order (SBCM) Bezier-based curved models. These designs strategically integrate Bezier-based double-curved ligaments into a hybrid honeycomb architecture. As rigorously demonstrated through Bloch’s theorem and finite element analysis, this configuration achieves exceptional band gap coverages of 45.5% (FBCM) and 57.7% (SBCM) within 2 kHz regime. Beyond omnidirectional mitigation, an in-depth evaluation of the iso-frequency contours reveals highly anisotropic wave propagation within the operational pass bands. This pronounced directionality is quantitatively visualized via phase and group velocity profiles and strongly corroborated by energy directivity patterns. Consequently, this dynamic behavior unlocks advanced capabilities for precise wave steering and spatial waveguiding. Furthermore, this work presents the first investigation into the dynamic effects of external point masses on parametrically defined curved configurations. This incorporation is shown to markedly suppress the band gap opening frequencies, thereby substantially enhancing low-frequency mitigation capabilities. Crucially, comprehensive parametric studies confirm that the band gaps can be deterministically tailored by optimizing the Bezier curve parameters in tandem with the attached mass magnitude. Ultimately, the proposed models bridge the gap between advanced wave control and practical manufacturability, providing a robust pathway for developing next-generation lightweight smart materials and sophisticated wave mitigation systems.