A PRECISE METHOD FOR SOLVING WAVE PROPAGATION IN HOLLOW SANDWICH CYLINDERS WITH PRISMATIC CORES  

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

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

出　　处：《Acta Mechanica Solida Sinica》2015年第4期360-374,共15页固体力学学报（英文版）

基　　金：supported by the National Basic Research Program of China(No.2011CB610300);the 111 project(No.B07050);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(310201401JCQ01001);China Postdoctoral Science Foundation(2013M540724);Shaanxi postdoctoral research projects

摘　　要：Wave propagation in infinitely long hollow sandwich cylinders with prismatic cores is analyzed by the extended Wittriek-Williams （W-W） algorithm and the precise integration method （PIM）. The effective elastic constants of prismatic cellular materials are obtained by the homogenization method. By applying the variational principle and introducing the dual variables the canonical equations of Hamiltonian system are constructed. Thereafter, the wave propagation problem is converted to an eigenvalue problem. In numerical examples, the effects of the prismatic cellular topology, the relative density, and the boundary conditions on dispersion relations, respectively, are investigated.Wave propagation in infinitely long hollow sandwich cylinders with prismatic cores is analyzed by the extended Wittriek-Williams （W-W） algorithm and the precise integration method （PIM）. The effective elastic constants of prismatic cellular materials are obtained by the homogenization method. By applying the variational principle and introducing the dual variables the canonical equations of Hamiltonian system are constructed. Thereafter, the wave propagation problem is converted to an eigenvalue problem. In numerical examples, the effects of the prismatic cellular topology, the relative density, and the boundary conditions on dispersion relations, respectively, are investigated.

关 键 词：extended Wittrick-Williams algorithm cellular material Hamiltonian system dispersion relation 

分 类 号：TB383.4[一般工业技术—材料科学与工程]