基于力电耦合超材料的圆柱壳结构低频减振方法研究

Low-Frequency Vibration Control of Cylindrical Shell Structures Based on Piezoelectric Metamaterials

摘要:

基于力电耦合超材料发展了一种针对圆柱壳结构的低频减振方法。利用模态综合法，提出了力电耦合系统的减缩方法，并对减缩模型进行了修正。研究了有限长度力电耦合超材料圆柱壳中的禁带阻波特性，并分析了电感电阻参数对禁带特性的调节规律。面向低频减振应用，提出了两种电路参数的优化设计方法。最后，以双层环肋圆柱壳为研究对象，针对其前三阶共振进行了优化设计，数值仿真结果表明前三阶共振峰均实现了25 dB以上的振动抑制效果，充分验证了所提出的低频减振方法能有效地抑制圆柱壳结构的低频振动。

Abstract:

Based on electromechanical coupling metamaterials， a low-frequency vibration reduction approach for cylindrical shell constructions is proposed in this paper. A reduction method for the electromechanical coupling system is put forward， and the reduction model is corrected， using the modal synthesis approach. The wave resistance characteristics of the bandgap in the finite-length electromechanical coupling metamaterial cylindrical shell are studied， and the regulation law of the inductance and resistance parameters to the bandgap characteristics is analyzed. Two optimum circuit parameter design strategies are provided for low-frequency vibration reduction applications. Finally， the first three resonances are tuned using the double-layer ring strengthened cylindrical shell as the study object. The numerical simulation results reveal that the first three resonance peaks have a vibration suppression effect of over 25dB， proving that the low-frequency vibration reduction approach proposed in this paper can effectively suppress the low-frequency vibration of cylindrical shell structures.