Journal of Shanghai Jiaotong University ›› 2013, Vol. 47 ›› Issue (02): 173-179.

• Mathematical sciences and chemical • Previous Articles     Next Articles

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   

  1. (Institute of Vibration, Shock & Noise, Shanghai Jiaotong University, Shanghai 200240, China)
  • Received:2012-03-06 Online:2013-02-28 Published:2013-02-28

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

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