Multi-bandgaps metamaterial plate design using complex mass-beam resonator. (15th December 2022)

• Record Type: Journal Article
• Authors: Fan, Xinlei; Li, Jinqiang; Zhang, Xueyi; Li, Fengming
• Is Part Of: International journal of mechanical sciences. Volume 236(2022)
• Publication Date: 2022-12-15
• Subjects: Metamaterial plate -- Vibration suppression -- Local mechanical resonance -- Multi-bandgap -- Damping ratios -- Broadband vibration isolation; Mechanical engineering -- Periodicals; Génie mécanique -- Périodiques; Mechanical engineering; Maschinenbau; Mechanik; Zeitschrift; Periodicals; 621.05
• DOI: 10.1016/j.ijmecsci.2022.107742
• Languages: English
• ISSNs: 0020-7403

Abstract

Highlights: Novel design of multi-bandgaps metamaterial plate with periodically arranged complex resonator. Formulation of the dynamic model of metamaterial plate and derivation of the dispersion and bandgaps equation. Verification of proposed metamaterial plate by numerical calculation, finite element simulation and experiment. Investigation of the effects of natural frequencies, mass ratio and damping of structure on bandgaps. Abstract: With the purpose of obtaining multiple bandgaps in simple plate structure, in this paper a metamaterial plate with low and wide frequency bandgaps is designed using complex resonator. The complex resonators periodically arranged between two faceplates are composed of two coupled sub mass-beam resonators. The dynamic model of cell structure is formulated and the dispersion equation is derived using energy method. The bandgaps are obtained by solving the dispersion equation. The finite element simulation and experiment are carried out to study the transmission and vibration characteristics of the metamaterial plate. The results show that two low and wide frequency bandgaps are successfully obtained in present metamaterial plate and the bandgaps are determined by the nature frequencies and mass ratios of the two coupled resonators. The location and width of the bandgaps can be adjusted by changing the cantilever beams and the mass blocks of the complex resonator. By introducing damping into the resonators, the two bandgaps can be widened and connect into one wider bandgap. Graphical abstract: Image, graphical abstract