Formation Mechanisms of Vibration Band Gaps in Locally Resonant Periodic Structures

被引：2
|
作者：
Li S. [1 ]
Dou Y. [1 ]
Chen T. [2 ]
Li B. [3 ]
Su J. [4 ]
Zhang F. [4 ]
Cui X. [5 ]
机构：
[1] School of Mechanical Engineering, Xi'an Shiyou University, Xi'an
[2] School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an
[3] School of Aeronautics, Northwestern Polytechnical University, Xi'an
[4] Xi'an Modern Chemistry Research Institute, Xi'an
[5] Beijing Special Engineering Design and Research Institute, Beijing
来源：
Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University | 2019年 / 53卷 / 06期
关键词：
Local resonance; Periodic structure; Vibration band gap; Vibration reduction;
D O I：
10.7652/xjtuxb201906022
中图分类号：
学科分类号：
摘要：
Detailed formation mechanisms of vibration band gaps in locally resonant periodic structures are investigated based on a two-dimensional locally resonant periodic structure. Firstly, based on the dynamic theory a basic theoretical hypothesis of the formation mechanism for the band gap of locally resonant periodic structure is proposed following the modal superposition principle. Secondly, the detailed formation mechanism of vibration band gaps is further clarified according to the formation mechanism model of band gaps. Finally, the formation mechanism of vibration band gaps is verified by the interaction between the elastic wave and the structure during the formation of vibration band gaps in a typical two-dimensional locally resonant periodic structure. The result shows that there exist six types of generalized propagation modes of waves in the locally resonant periodic structure, while these generalized propagation modes are formed by the mutual transformation of the main modes and these main modes are generated by corresponding 12 modes based on the superposition principle. The vibration mode dominated by the main mode of the vibrator determines the formation of a vibration band gap by suppressing or releasing the generalized propagation mode. When the oscillator's main mode suppresses the generalized propagation mode of the wave, a generalized sub-band gap that can only suppress the corresponding propagation mode is formed. The influencing mechanism of the band gap is further studied and an active design method of the band gap is proposed. This research may perfect the basic theory of periodic structure, lay a theoretical foundation for the study of band gap theory of periodic structure and the active design of band gap characteristics, and provide a new method for vibration reduction of engineering structures. © 2019, Editorial Office of Journal of Xi'an Jiaotong University. All right reserved.
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页码：169 / 175and182
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