摘要
研究了弹性波在周期性桁架材料中的传播特性,并根据桁架材料的周期性特点和杆纵向振动模态,给出了基于单胞的桁架材料弹性波色散(dispersion)方程。分析了1维和2维问题的色散特性,研究了相应的弹性波带隙性质;以CAE分析软件为工具平台对桁架材料的带隙特性进行了数值仿真实验,给出了基于谐响应和特征频率变化特征的仿真实验方法。仿真实验确认了所分析的桁架材料的带隙特性,同时说明所用的仿真实验方法是可行的。
The propagation of elastic waves in infinite periodic truss-like material is investigated, and dispersion equation of truss-like material is obtained according to Floquet-Bloch theory and the longitudinal oscillation modes of bar. Dispersion characteristics of 1-D and 2-D problems are analyzed, and the corresponding phononic band gaps are investigated. The band gap characteristics of the truss-like material are verified by numerically simulated experiments with CAE software, where two methods, vibration response of finite periodic truss-like structure subjected to harmonic loading and characteristic change of eigenvalues based on modal analysis, are introduced. The band gaps are verified to show the effectiveness.
出处
《应用力学学报》
EI
CAS
CSCD
北大核心
2007年第2期213-218,共6页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(10572030
10332010)
973国家重大基础研究项目基金(2006CB601205)
"新世纪优秀人才"资助计划(2004)
关键词
桁架材料
弹性波
带隙
truss-like material, elastic wave, phononic band gap
