Vibration bandgap of a locally resonant beam considering horizontal springs

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.

Automated summary

The study proposes a locally resonant metamaterial beam to reduce low-frequency vibrations, and enhancing vibration suppression performance by increasing the number of units, damping ratio, mass, and stiffness.