Flexural wave propagation in metamaterial beams containing membrane-mass structures. (October 2017)

• Record Type: Journal Article
• Authors: Chen, Jung-San; Huang, Yi-Jyun; Chien, I-Ting
• Is Part Of: International journal of mechanical sciences. Volume 131/132(2017)
• Page Start: 500
• Page End: 506
• Publication Date: 2017-10
• Subjects: Metamaterials -- Bandgap -- Dispersion relation -- Membrane-mass resonator; Mechanical engineering -- Periodicals; Génie mécanique -- Périodiques; Mechanical engineering; Maschinenbau; Mechanik; Zeitschrift; Periodicals; 621.05
• DOI: 10.1016/j.ijmecsci.2017.07.054
• Languages: English
• ISSNs: 0020-7403

Abstract

Highlights: Flexural wave propagation of a metamaterial beam containing membrane-mass structures is investigated. A low-frequency resonant-type bandgap where waves cannot propagate freely is created. By altering the properties of the membrane-mass structure, the bandgap location can be easily tuned. Multiple resonant-type bandgaps can be achieved by using multiple kinds of unit cells. An analytical model is introduced for precisely predicting the resonant frequency of the membrane-mass structure. Abstract: This study addresses the flexural behavior of the metamaterial beam containing membrane-mass structures that can be used as local resonators. The finite elements method is employed to predict dispersion relations and the bandgap structure of the proposed metamaterial beam. By altering mass location, membrane tension, and mass magnitude, the characteristics of the bandgap can be easily tuned. Multiple resonant-type bandgaps can be achieved by varying the mass distribution across cells of the metamaterial beam. To precisely capture the resonance frequency of the membrane-mass structure, an analytical model is introduced. The effect of membrane dimensions on bandgap characteristics is also examined.