Open AccessLumped-mass method on calculation of elastic band gaps of one-dimensional phononic crystals
Author(s) -
Jihong Wen,
Gang Wang,
Yaozong Liu,
Dianlong Yu
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.3384
Subject(s) - computation , physics , spring (device) , effective mass (spring–mass system) , band gap , plane (geometry) , plane wave , condensed matter physics , computational physics , mathematical analysis , optics , classical mechanics , geometry , computer science , mathematics , algorithm , thermodynamics
With each unit cell replaced by finite cascaded massspring oscillators, 1D pho nonic crystals (PCs) can be simplified to an infinite periodic massspring chai n. Therefore, the elastic wave band structures of the 1D PCs can be calculated w ith a straightforward approach which we call lumpedmass method (LM). For compa rison, the band structures of the same 1D PC calculated with this method and the wellknown plane wave expansion method are both presented in this paper. The r esults of the two methods are in good agreement while the computation costs of L M method are much lower than that of PWE method.