Active tuning of vibration and noise by the optimal design of acoustic metamaterial structures

• Applicant: Professor Dr.-Ing. Chuanzeng Zhang
• Subject Area: Mechanics ; Applied Mechanics, Statics and Dynamics
• Term: from 2018 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 391998588

• Final Report Year: 2024

Final Report Abstract

Smart or intelligent piezoelectric materials are widely used in the active structural vibration control because they have a high sensitivity to the external mechanical environmental changes and a strong ability to actively respond. In this project, considering the piezoelectricity and the active control theories, novel acoustic metamaterial (AMM) structures with active control abilities should be designed based on the band-gap mechanisms of the phononic crystals (PCs) or acoustic metamaterials (AMMs). AMMs are artificial periodic or non-periodic materials and exhibit extraordinary vibration and elastic wave propagation characteristics, which open up many novel possibilities for mitigating and isolating harmful vibration and noise. The electromechanically coupled dynamic equations of the AMM structures with the piezoelectric sensors and actuators should be established. Inevitably, it is very difficult to establish the electromechanically coupled dynamic models of the integrated systems for the active AMM structures due to the fact that the micro-structures and the configurations of the AMM structures are very complicated, and the anisotropy as well as the electromechanical coupling effects of the piezoelectric materials have to be taken into account. The performance of the AMM structures is determined by the individual structural components and configurations under consideration. Therefore, the key issue of the present project is to design and study the novel AMM structures including the active control performance and the local resonance mechanisms, and perform the theoretical analyses, numerical simulations and experimental validations to reveal possible new physical phenomena and draw some important conclusions. In this project, three different tuning methods, namely passive methods, active methods and hybrid methods combining both the passive and the active methods, have been developed to control the vibration and elastic wave propagation characteristics in the AMM structures. The corresponding results obtained in this project demonstrate that the undesirable vibration or elastic wave propagation can be significantly suppressed or isolated by utilizing the AMM concepts and the active control theories, which have a wide range of novel and promising engineering applications.

Publications

• Active localization of wave propagation in elastic beams using periodic placement of piezoelectric actuator/sensor pairs. Journal of Applied Physics, 124(8).
  Li, Fengming & Zhang, Chuanzeng
  
• Band-gap property of a novel elastic metamaterial beam with X-shaped local resonators. Mechanical Systems and Signal Processing, 134, 106357.
  Wu, Zhijing; Liu, Wenyu; Li, Fengming & Zhang, Chuanzeng
  
• Bandgap enhancement of periodic nonuniform metamaterial beams with inertial amplification mechanisms. Journal of Vibration and Control, 26(15-16), 1309-1318.
  Muhammad, Shoaib; Wang, Shuai; Li, Fengming & Zhang, Chuanzeng
  
• Enhanced band-gap properties of an acoustic metamaterial beam with periodically variable cross-sections. International Journal of Mechanical Sciences, 166, 105229.
  Wen, Shurui; Xiong, Yuanhao; Hao, Shuaimin; Li, Fengming & Zhang, Chuanzeng
  
• Improvement of the band-gap characteristics of active composite laminate metamaterial plates. Composite Structures, 254, 112831.
  Ren, Tao; Li, Fengming; Chen, Yanong; Liu, Chunchuan & Zhang, Chuanzeng
  
• Vibration isolation by novel meta-design of pyramid-core lattice sandwich structures. Journal of Sound and Vibration, 480, 115377.
  Li, Zheng-Yang; Ma, Tian-Xue; Wang, Yan-Zheng; Li, Feng-Ming & Zhang, Chuanzeng
  
• Band-gap characteristics of elastic metamaterial plate with axial rod core by the finite element and spectral element hybrid method. Mechanics of Advanced Materials and Structures, 29(17), 2405-2422.
  Linzhongyang, E.; Wu, Zhijing; Zou, Guangping; Li, Fengming; Zhang, Chuanzeng; Sun, Aijun & Du, Qiang
  
• A self-sensing and self-actuating metamaterial sandwich structure for the low-frequency vibration mitigation and isolation. Composite Structures, 297, 115894.
  Li, Zheng-Yang; Wang, Yan-Zheng; Ma, Tian-Xue; Zheng, Yong-Feng; Zhang, Chuanzeng & Li, Feng-Ming
  
• Active auto-adaptive metamaterial plates for flexural wave control. International Journal of Solids and Structures, 254-255, 111865.
  Li, Zheng-Yang; Ma, Tian-Xue; Wang, Yan-Zheng; Chai, Yu-Yang; Zhang, Chuanzeng & Li, Feng-Ming
  
• Vibration mitigation and isolation of the lattice sandwich structures based on the metamaterial concepts. Shaker Verlag, 2022, ISBN: 978-3-8440-8673-7.
  ZY Li
  
• A simple active adaptive control method for mitigating and isolating mechanical vibrations of the pyramid-core lattice sandwich structures. Journal of Sound and Vibration, 577, 118321.
  Li, Zheng-Yang; Xie, Long-Tao; Ma, Tian-Xue; Wang, Yan-Zheng; Chai, Yu-Yang; Zhang, Chuanzeng & Li, Feng-Ming