Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (11): 1875-1894.doi: https://doi.org/10.1007/s10483-024-3186-9

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Actively tunable sandwich acoustic metamaterials with magnetorheological elastomers

Jinhui LIU1, Yu XUE1,2, Zhihong GAO1, A. O. KRUSHYNSKA2, Jinqiang LI1,*()   

  1. 1College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China
    2Engineering and Technology Institute of Groningen (ENTEG), University of Groningen, Groningen 9700 AB, The Netherlands
  • Received:2024-06-25 Online:2024-11-03 Published:2024-10-30
  • Contact: Jinqiang LI E-mail:lijinqiang@hrbeu.edu.cn
  • Supported by:
    the National Natural Science Foundation of China(12472007);the National Natural Science Foundation of China(12072084);the Fundamental Research Funds for the Central Universities of China;Project supported by the National Natural Science Foundation of China (Nos. 12472007 and 12072084) and the Fundamental Research Funds for the Central Universities of China

Abstract:

Sandwich structures are widespread in engineering applications because of their advantageous mechanical properties. Recently, their acoustic performance has also been improved to enable attenuation of low-frequency vibrations induced by noisy environments. Here, we propose a new design of sandwich plates (SPs) featuring a metamaterial core with an actively tunable low-frequency bandgap. The core contains magnetorheological elastomer (MRE) resonators which are arranged periodically and enable controlling wave attenuation by an external magnetic field. We analytically estimate the sound transmission loss (STL) of the plate using the space harmonic expansion method. The low frequency sound insulation performance is also analyzed by the equivalent dynamic density method, and the accuracy of the obtained results is verified by finite-element simulations. Our results demonstrate that the STL of the proposed plate is enhanced compared with a typical SP analog, and the induced bandgap can be effectively tuned to desired frequencies. This study further advances the field of actively controlled acoustic metamaterials, and paves the way to their practical applications.

Key words: sandwich plate (SP), magnetorheological elastomer (MRE), sound transmission loss (STL), vibration control, acoustic metamaterial

2010 MSC Number: 

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