The vibration of engineering structures in actual practice occurs across numerous frequency ranges and includes diverse polarization modes such as bending, torsion, and expansion. Nevertheless, most reported elastic metamaterials are designed for a single frequency range or a single elastic wave mode, thereby making it challenging to simultaneously suppress the propagation of vibrational energy across multiple frequency ranges and polarization modes. To address this limitation, we propose a two-degree-of-freedom elastic metamaterial exhibiting a multi-frequency range elastic band gap and multi-polarization mode elastic wave band gap. By incorporating periodic vibration-absorbing units, gradient parameter vibration-absorbing units, and different polarization mode vibration-absorbing units to the actual equipment support structure, we achieve respective vibration attenuation enhancement, broadband vibration absorption, and multi-polarization mode vibration absorption. We systematically verify the effectiveness of our design through kinetic theoretical analysis, full-wave field simulations, and experimental tests. This metamaterial vibration absorption device can effectively meet the application requirements of complex vibration reduction involving multi-frequency ranges and modes in practical engineering, providing novel insights into equipment vibration and noise reduction design that holds significant reference value for engineering applications.

中文翻译：

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一种用于低频多极化振动吸收的多带弹性超材料

实际工程结构的振动发生在多个频率范围内，并包括多种极化模式，例如弯曲、扭转和膨胀。然而，大多数报道的弹性超材料都是针对单一频率范围或单一弹性波模式设计的，因此很难同时抑制多个频率范围和偏振模式下的振动能量的传播。为了解决这个限制，我们提出了一种具有多频率范围弹性带隙和多极化模式弹性波带隙的二自由度弹性超材料。通过将周期吸振单元、梯度参数吸振单元和不同极化模式吸振单元结合到实际设备支撑结构中，实现了各自的减振增强、宽带吸振和多极化模式吸振。我们通过动力学理论分析、全波场模拟和实验测试系统地验证了我们设计的有效性。该超材料吸振装置能够有效满足实际工程中多频段、多模式的复杂减振应用需求，为设备减振降噪设计提供了新颖的见解，对工程应用具有重要的参考价值。