%0 Journal Article
%T Lumped-mass approach for the calculation of band structure of two-dimensional phononic crystals with high contrast of elastic constant<br>大弹性常数差二维声子晶体带隙计算中的集中质量法
%A Wang Gang
%A Wen Ji-Hong
%A Liu Yao-Zong
%A Yu Dian-Long
%A Wen Xi-Sen
%A <br>王　刚
%A 温激鸿
%A 刘耀宗
%A 郁殿龙
%A 温熙森
%J 物理学报
%D 2005
%I 
%X With each unit cell replaced by a system of finite freedoms of motion, two_dimensional phononic crystals can be simplified to an infinite discrete periodic system. Therefore, the elastic wave band structures of the two_dimensional phononic crystals can be calculated with a straightforward lumped_mass approach, whose computational cost is much lower than the well_known plane wave expansion(PWE) method. The numerical results of the two methods are in reasonable agreements. As the well_known Gibbs oscillations in the PWE can be eliminated with the lumped_mass method, this new approach is insensitive to the sharp variation of elastic constants on the interfaces inside the phononic crystals. Furthermore, the lumped_mass method can also be used to calculate the band structures of two_dimensional phononic crystals with arbitrary unit shapes easily.
%K phononic crystal
%K phononic band_gap
%K lumped_mass method<br>声子晶体，
%K 声子带隙，
%K 集中质量法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=A8776AAA8CA08E6B&yid=2DD7160C83D0ACED&vid=318E4CC20AED4940&iid=38B194292C032A66&sid=8C8B0901DFA6ECA2&eid=87352E668344FB84&journal_id=1000-3290&journal_name=物理学报&referenced_num=2&reference_num=22