SYMPLECTIC ANALYSIS FOR WAVE PROPAGATION OF HIERARCHICAL HONEYCOMB STRUCTURES  

作　　者：Kai Zhang Zichen Deng Xiaojian Xu Xiuhui Hou Junmiao Meng 

机构地区：[1]School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University [2]School of Civil Engineering, Chang'an University

出　　处：《Acta Mechanica Solida Sinica》2015年第3期294-304,共11页固体力学学报（英文版）

基　　金：Project supported by the National Basic Research Program of China(No.2011CB610300);the National Natural Science Foundation of China(Nos.11172239 and 11372252);the Doctoral Program Foundation of Education Ministry of China(No.20126102110023);the Fundamental Research Funds for the Central Universities(Nos.310201401JCQ01001 and 3102015ZY036);China Postdoctoral Science Foundation(No.2013M540724);Shaanxi postdoctoral research projects

摘　　要：Wave propagation in two-dimensional hierarchical honeycomb structures with two- order hierarchy is investigated by using the symplectic algorithm. By applying the variational prin- ciple to the dual variables, the wave propagation problem is transformed into a two-dimensional symplectie eigenvalue problem. The band gaps and spatial filtering phenomena are examined to find the stop bands and directional stop bands. Special attention is directed to the effects of the relative density and the length ratio on the band gaps and phase constant surfaces. This work provides new opportunities for designing hierarchical honeycomb structures in sound insulation applications.Wave propagation in two-dimensional hierarchical honeycomb structures with two- order hierarchy is investigated by using the symplectic algorithm. By applying the variational prin- ciple to the dual variables, the wave propagation problem is transformed into a two-dimensional symplectie eigenvalue problem. The band gaps and spatial filtering phenomena are examined to find the stop bands and directional stop bands. Special attention is directed to the effects of the relative density and the length ratio on the band gaps and phase constant surfaces. This work provides new opportunities for designing hierarchical honeycomb structures in sound insulation applications.

关 键 词：hierarchical honeycomb structures wave propagation band gap phase constant surface symplectic analysis 

分 类 号：O342[理学—固体力学]