Flexural propagation behavior of a metamaterial beam with circular membrane-mass structures is presented. Each cell is comprised of a base structure containing circular cavities filled by an elastic membrane with a centrally loaded mass. Numerical results show that there exist two kinds of bandgaps in such a system. One is called Bragg bandgap caused by structural periodicity; the other is called locally resonant (LR) bandgap caused by the resonant behavior of substructures. By altering the properties of the membrane-mass structure, the location of the resonant-type bandgap can be easily tuned. An analytical model is proposed to predict the lowest bandgap location. A good agreement is seen between the theoretical results and finite element (FE) results. Frequencies with negative mass density lie in the resonant-type bandgap.
Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received July 2, 2017; final manuscript received October 5, 2017; published online October 20, 2017. Assoc. Editor: Yihui Zhang.
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Chen, J., and Chien, I. (October 20, 2017). "Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures." ASME. J. Appl. Mech. December 2017; 84(12): 121007. https://doi.org/10.1115/1.4038146
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