面向航空结构低频振动的力电耦合超材料板设计

doi:10.7527/S1000-6893.2022.26959

Abstract

Abstract:

To overcome the difficulty of low-frequency vibration control in aircraft structures， a circuit with combined negative capacitance and inductance was proposed to design electromechanical coupled metamaterial plate with excellent low-frequency vibration characteristics. The metamaterial plate is composed of a general plate as the main structure， piezoelectric patches periodically arranged on the surface of the plate， and shunts connected with the piezoelectric patches including negative capacitance and inductance. Derived an analytical expression for equivalent bending stiffness of metamaterial plates based on the effective medium theory， and corrected the expression. On this basis， clarified the mechanism of broadening bandgaps via negative capacitance by analyzing the influence of negative capacitance on equivalent bending stiffness. Influence of negative capacitance on the bandgap range and position were studied， and the analytical expression was derived. The results show that the width of the bandgap can be broadened to more than 20 times when negative capacitance is in parallel with inductance. Finally， simulation results show that the electromechanical coupled metamaterial plate with negative capacitance can achieve significant vibration suppression effect in the target low-frequency range.

Key words: metamaterial, piezoelectric material, band gap, low frequency, vibration reduction

CLC Number:

V214.8

Xianbang SHEN, Kaijun YI, Xuzhen JING, Zhiyuan LIU, Rui ZHU. Design of electromechanical coupled metamaterial plates for low-frequency vibration control in aircraft structures[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(5): 226959-226959.

Figures/Tables 14

Fig. 1

Fig.2

Table 1

Impedance of different shunts

分流电路	纯电感	负电容-电感串联	负电容-电感并联
$Z s u$	$j ω L$	$- ω 2 L C 0 + 1 j ω C 0$	$j ω L 1 - ω 2 L C 0$

Table 1

Fig.3

Fig.4

Fig.5

Table 2

Fig.6

Fig.7

Fig.8

Fig.9

Fig. 10

Fig.11

Fig. 12

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参数	基底板	压电片
材料	铝	PZT-5H
长度/mm	33.6	30.1
宽度/mm	33.6	30.1
厚度/mm	4	1
拉伸模量/GPa	70.0	58.8
密度/（kg·m^-3）	2 700	7 700
耦合压电常数/（C·N^-1）		-1.7×10^-10
常应力下介电常数		1 800
泊松比	0.33	0.39

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Design of electromechanical coupled metamaterial plates for low-frequency vibration control in aircraft structures

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