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Modelling of Acoustic Waves Propagating in Nesting Fibonacci Super-Lattice Phononic Crystal
Min Zhao,Hai-Feng Qi,Jia-Hui Xu,Ya-Zhuo Xie,Xing-Gan Zhang,Jian Gao 대한금속·재료학회 2014 METALS AND MATERIALS International Vol.20 No.4
Herein, we report construction of one kind of nesting-Fibonacci-super-lattice phononic crystal, in whichthe super-lattice cell is a well-defined Fibonacci generation sequence. We present a comparative study onband-gap structures of acoustic waves propagating in one-dimensional, nesting Fibonacci-periodic structureand simple-periodic structure. We find that there are more band gaps in nesting Fibonacci super-latticemodels, and that they present behavior different from the split-up of band gaps with different generationnumbers. With the increase of generation number, more band gaps split and occur. Additionally, whengeneration number becomes larger, Bragg scattering becomes more significant: the characteristic curvesbecome flatter and band gaps become wider. Furthermore, we study the effect of various parameters suchas density, thickness and defects on band-gap structures. Our work is significant both for understandingthe intrinsic physical properties of nesting Fibonacci sequences and for providing flexible choices to meetreal engineering requirements.