力-压电混合弹性超材料梁的带隙调节特性  被引量:2

Tuning Characteristics of Bandgaps of a Mechanical-piezoelectric Hybrid Elastic Metamaterial Beam

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作  者:王婷英 柴怡君 耿谦[1] 杨雄伟[1] 李跃明[1] Tingying Wang;Yijun Chai;Qian Geng;Xiongwei Yang;Yueming Li(State Key Laboratory for Strength and Vibration of Mechanical Structures,Shaanzi Key Laboratory of Environment and Control for Flight Vehicle,School of Aerospace Engineering,Xi'an Jiaotong University,Xi'an,710049)

机构地区:[1]西安交通大学航天航空学院,机械结构强度与振动国家重点实验室,先进飞行器服役环境与控制陕西省重点实验室,西安710049

出  处:《固体力学学报》2022年第4期406-418,共13页Chinese Journal of Solid Mechanics

基  金:国家自然科学基金项目(11772251)资助。

摘  要:为实现宽带低频减振,论文将力振子和串联负电容的压电分流振子分别置于基体上下两侧,设计了混合弹性超材料梁.基于传递矩阵法建立了理论模型,用于计算混合弹性超材料梁的频散关系和动态有效参数,通过有限元法进行了验证.分别采用理论方法和数值方法研究了电路元件参数对混合弹性超材料梁的带隙和振动衰减特性的调节机理,通过与单振子超材料的带隙对比,分析了两种振子间的相互影响.结果表明:电路元件参数主要影响压电分流振子产生的带隙的位置、宽度及带隙内的振动衰减程度;两种振子的带隙重叠区域不一定为通带;两种振子会因为负动态有效刚度范围靠近而相互影响.该研究将为此类超材料的设计提供参考依据.Elastic metamaterials are of artificial composite structures that can achieve vibration attenuation in their bandgaps. The bandgaps depend on the frequency bands with single negative parameters due to the anti-resonance of resonators. Mechanical resonators are widely used in designing elastic metamaterials with negative dynamic effective mass for low-frequency vibration attenuation. Recently, various strategies for mechanical resonators have been developed to achieve broadband or tunable bandgaps so that elastic metamaterials can adapt to environmental changes. However, it is still a major issue to ensure that metamaterials are light, non-destructive and easy to adjust. The piezoelectric shunt resonator can meet these requirements, which is a piezoelectric patch connected with inductive circuit, and its effective stiffness is negative in a narrow frequency band and extremely tunable. In this paper, a mechanical-piezoelectric hybrid elastic metamaterial beam consisting of mechanical resonators and piezoelectric shunt resonators is designed to achieve broadband low-frequency vibration attenuation. The circuits of negative capacitance are connected in series to enhance the piezoelectric effect. First, the theoretical model of dispersive relationship and dynamic effective parameters is established based on the transfer-matrix method and Euler-Bernoulli beam theory, and verified by the finite element method. The tuning mechanism of bandgaps and the interaction between the mechanical resonator and the piezoelectric shunt resonator are then analyzed by the theoretical model. Finally, the tunable low-frequency vibration attenuation characteristics of the finite-period hybrid metamaterial beam are demonstrated through three-dimensional multi-physics numerical simulations. It is found that the circuit parameters mainly affect the position, width and vibration attenuation of the bandgap produced by the piezoelectric shunt resonator. The mechanical resonator and the piezoelectric shunt resonator have little influence on the

关 键 词:超材料梁 带隙调节 振动衰减 压电分流振子 传递矩阵法 

分 类 号:TB34[一般工业技术—材料科学与工程]

 

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