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

被引：2
|
作者：
Meng, Junmiao [1 ]
Deng, Zichen [1 ]
Xu, Xiaojian [1 ]
Zhang, Kai [1 ]
Hou, Xiuhui [2 ]
机构：
[1] Northwestern Polytech Univ, Dept Engn Mech, Xian 710072, Peoples R China
[2] Changan Univ, Sch Civil Engn, Xian 710064, Peoples R China
来源：
ACTA MECHANICA SOLIDA SINICA | 2015年 / 28卷 / 04期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
extended Wittrick-Williams algorithm; cellular material; Hamiltonian system; dispersion relation; TRANSVERSELY ISOTROPIC CYLINDERS; POLYNOMIAL APPROACH; GUIDED-WAVES; COMPOSITE; SHELLS; PLATES;
D O I：
10.1016/S0894-9166(15)30022-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Wave propagation in infinitely long hollow sandwich cylinders with prismatic cores is analyzed by the extended Wittrick-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.
引用
收藏
页码：360 / 374
页数：15
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