| 桁架材料弹性波带隙特性分析 |
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| 引用本文： | 刘书田,曹先凡,贺丹,苏文政.桁架材料弹性波带隙特性分析[J].应用力学学报,2007,24(2):213-218. |
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| 作者姓名： | 刘书田 曹先凡 贺丹 苏文政 |
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| 作者单位： | 大连理工大学,116024,大连 |
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| 基金项目： | 国家自然科学基金;国家重点基础研究发展计划(973计划);教育部跨世纪优秀人才培养计划 |
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| 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。
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| 关 键 词： | 桁架材料 弹性波 带隙 |
| 文章编号： | 1000-4939（2007）02-0213-06 |
| 收稿时间： | 2005-12-09 |
| 修稿时间： | 2006-10-08 |
Phononic Band Gaps and Vibrations in Truss-like Materials |
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| Liu Shutian,Cao Xianfan,He Dan,Su Wenzheng.Phononic Band Gaps and Vibrations in Truss-like Materials[J].Chinese Journal of Applied Mechanics,2007,24(2):213-218. |
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| Authors: | Liu Shutian Cao Xianfan He Dan Su Wenzheng |
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| Abstract: | 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. |
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| Keywords: | truss-like material elastic wave phononic band gap |
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