Investigation on band gap mechanism and vibration attenuation characteristics of cantilever-beam-type power-exponent prismatic phononic crystal plates

This study proposes a novel phononic crystal (NPC) configuration composed of power-exponent pris-matic phononic crystal (EPC) and cantilever beams to address the vibration problem of the ship plate structure. Through the dispersion curve, it is found that NPC has complete flexural band gaps of low-, medium-, and high-frequency. The medium-frequency and high-frequency band gaps are the coupled band gaps induced by local resonance under the superimposition between the resonance of cantilever beams and the energy concentration effect in the primary structure. It is found that the addition of can -tilever beam can make EPC produce low-frequency, and medium-frequency band gaps and broaden high -frequency band gap. Changing the parameters of the cantilever beam can adjust the low-, medium-, and high-frequency band gaps at the same time. Changing the parameters of the power index prism can adjust the medium-frequency and high-frequency band gap without changing the low-frequency band gap. The present simulation and model tests validated the above conclusions. Compared with the tradi-tional embedded ABH model, NPC cannot weaken the structural strength with greater flexibility in appli-cation, suggesting broad application prospects in ship structure engineering. The present research results can support the vibration control of ship structures. (c) 2023 Elsevier Ltd. All rights reserved.

Automated summary

This study introduces a new configuration of phononic crystal (NPC) composed of power-exponent prismatic phononic crystal (EPC) and cantilever beams, which effectively addresses the vibration problem in ship plate structures. By analyzing the dispersion curve, it is observed that NPC possesses complete flexural band gaps at low, medium, and high frequencies. The medium and high-frequency band gaps are the result of local resonance induced by the coupling of resonance in cantilever beams and energy concentration effect in the primary structure. The addition of cantilever beams allows EPC to generate low and medium-frequency band gaps while broadening the high-frequency band gap. Adjusting the parameters of both the cantilever beam and the power index prism enables the tuning of the low, medium, and high-frequency band gaps. The simulation and model tests conducted in this study validate the aforementioned conclusions. Compared to the traditional embedded ABH model, NPC offers greater flexibility in application without compromising structural strength, making it highly promising for ship structure engineering vibration control.