曲梁周期结构动力学特性和隔振性能

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (02): 173-179.

曲梁周期结构动力学特性和隔振性能

黄修长，徐时吟，华宏星，张志谊

(上海交通大学振动、冲击、噪声研究所,上海 200240)

收稿日期:2012-03-06 出版日期:2013-02-28 发布日期:2013-02-28

Research on Dynamic Properties and Vibration Isolation Performance of Curved Beam Periodic Structure

HUANG Xiu-Chang, XU Shi-Yin, HUA Hong-Xing, ZHANG Zhi-Yi

(Institute of Vibration, Shock & Noise, Shanghai Jiaotong University, Shanghai 200240, China)

Received:2012-03-06 Online:2013-02-28 Published:2013-02-28

摘要/Abstract

摘要： 针对由曲梁和刚性面板组成的四边支撑曲梁周期结构，提出其等效质量弹簧模型.利用Bloch定理和波向量法分别研究了其阻带特征和输入输出导纳特性，分析了周期数和尺寸参数对导纳的影响.利用传递矩阵法研究了曲梁周期结构在基础为弹性板的单自由度系统中的应用.理论和实验结果表明：曲梁周期结构具有较低频段的宽频带阻带；曲梁周期结构可以作为隔振器，对机组引发的振动进行隔振；也可以作为具有阻带特征的隔振结构，抑制其阻带内弹性基础共振峰处的响应.

关键词: 曲梁周期结构, 阻带结构, 传递矩阵法, 振动抑制

Abstract: A curved beam periodic structure composed of curved beams and rigid plates was developed and the equivalent mass-spring transmission matrix model was advanced. The Bloch theory and the wave vector approach were employed to analyze the band gap and the driving-point and transfer mobility of the structure, respectively. The influence of the number of unit cells and the parameters of curved beams on the mobility was studied. The transmission matrix method was used to study the dynamics of the structure in one DOF (degree of freedom) system with flexible plate as foundations. The experiment of detecting the band gap of the structure by measuring driving-point and transfer mobility was carried out. The comparative trials of one DOF system with flexible plate as foundations with/without the structure were carried out. Both theoretical and experimental results show that, a curved beam periodic structure possesses a broad low frequency band gap; and it can act as isolator or a band-pass mechanical filter. The performance of the periodic isolator is superior to that of the ordinary rubber isolator. By use of the periodic structure, the vibration transmission at resonances of the foundation plate between the band gap is suppressed.

Key words: curved beam periodic structure, bandgap structure, transmission matrix method, vibration suppression

中图分类号:

O 328

黄修长, 徐时吟, 华宏星, 张志谊. 曲梁周期结构动力学特性和隔振性能 [J]. 上海交通大学学报（自然版）, 2013, 47(02): 173-179.

HUANG Xiu-Chang, XU Shi-Yin, HUA Hong-Xing, ZHANG Zhi-Yi. Research on Dynamic Properties and Vibration Isolation Performance of Curved Beam Periodic Structure[J]. Journal of Shanghai Jiaotong University, 2013, 47(02): 173-179.

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