面向航空结构低频振动的力电耦合超材料板设计
收稿日期: 2022-01-17
修回日期: 2022-02-16
录用日期: 2022-04-02
网络出版日期: 2022-04-06
基金资助
国家自然科学基金(12202052);国家重点研发计划(2021YFE0110900)
Design of electromechanical coupled metamaterial plates for low-frequency vibration control in aircraft structures
Received date: 2022-01-17
Revised date: 2022-02-16
Accepted date: 2022-04-02
Online published: 2022-04-06
Supported by
National Natural Science Foundation of China(12202052);National Key Research and Development Program of China(2021YFE0110900)
针对航空结构低频振动控制难的问题，提出将负电容与电感电路结合设计具有优异低频振动特性的力电耦合超材料板结构。该超材料板包含作为基底的普通板结构、周期分布在板表面的压电单元及与压电单元相连的包含电感和负电容的分流电路。首先通过有效介质理论，得到了超材料板等效抗弯刚度解析表达式并进行了修正。在此基础上，通过分析负电容对等效抗弯刚度的影响阐明了负电容拓宽禁带的机制。进一步推导了禁带范围的解析表达式，研究了负电容对禁带范围和位置的影响规律，理论结果表明负电容与电感并联可以将禁带宽度拓宽至原来的20倍以上。最后，通过数值算例验证了引入负电容后力电耦合超材料板能够在目标低频范围实现很好的振动抑制效果。
沈显邦 , 易凯军 , 景旭贞 , 刘智元 , 朱睿 . 面向航空结构低频振动的力电耦合超材料板设计[J]. 航空学报, 2023 , 44(5) : 226959 -226959 . DOI: 10.7527/S1000-6893.2022.26959
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
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