Structural vibrations could seriously affect the working performance and even cause fatal hazards to host structures. To reduce low frequency vibrations, a locally resonant metamaterial beam coupled by horizontal springs is proposed. The dynamic model of the metamaterial beam is established with the finite element method. The frequency response function of the metamaterial beam is derived, and the bandgap of the locally resonant beam is obtained. The effects of the number of locally resonator units, damping, mass, and stiffness of the vertical spring and horizontal spring are analyzed. The results show that with the increase of the number of units, damping ratio, mass, and stiffness, the bandgap changes significantly, resulting in the enhanced vibration suppress performance in the low-frequency region (f < 200 Hz). The resonator with the horizontal spring is conducive to suppress vibrations of the beam.

结构振动会严重影响工作性能，甚至会对主机结构造成致命危险。为了减少低频振动，提出了一种由水平弹簧耦合的局部共振超材料梁。用有限元方法建立了超材料梁的动力学模型。推导了超材料梁的频率响应函数，得到了局部共振梁的带隙。分析了局部谐振器的数量，垂直弹簧和水平弹簧的阻尼，质量和刚度的影响。结果表明，随着单元数量，阻尼比，质量和刚度的增加，带隙显着变化，从而增强了低频区域的抑振性能（f<200 Hz）。具有水平弹簧的谐振器有利于抑制梁的振动。