EI、Scopus 收录
中文核心期刊
郑宜生, 陈逸涵, 瞿叶高, 孟光. 双稳态压电超结构的超传输滞回效应与非互易编码特性[J]. 力学学报.
引用本文: 郑宜生, 陈逸涵, 瞿叶高, 孟光. 双稳态压电超结构的超传输滞回效应与非互易编码特性[J]. 力学学报.
Supratransmission hysteresis and nonreciprocal code in a piezoelectric metastructure with bistable-circuit shunts[J]. Chinese Journal of Theoretical and Applied Mechanics.
Citation: Supratransmission hysteresis and nonreciprocal code in a piezoelectric metastructure with bistable-circuit shunts[J]. Chinese Journal of Theoretical and Applied Mechanics.

双稳态压电超结构的超传输滞回效应与非互易编码特性

Supratransmission hysteresis and nonreciprocal code in a piezoelectric metastructure with bistable-circuit shunts

  • 摘要: 利用超结构的非线性效应能够实现新颖的振动能量传输调控现象。双稳态超结构存在非线性超传输特性,即在超结构线性化带隙内,当激励幅值超过某个临界值时,传输的振动能量突变到很大值。文章针对含双稳态分流电路的压电超结构梁,建立了力电耦合非线性动力学数值模型,并研究了振动沿超结构的非线性传输特性。发现压电超结构线性局域共振带隙内的超传输特性存在滞回效应,也就是向上扫幅激励和向下扫幅激励两种工况下超传输临界值不同。通过改变双稳态电路两个稳定平衡点的间距或者电路在稳定平衡点的共振强度都可以移动超传输滞回区间。进一步通过在双稳态压电超结构一侧布置线性共振电路来引入系统非对称性,可使得正方向和反方向的超传输滞回区间发生偏离,并且利用这种非互易的超传输滞回效应可以在不同激励幅值区间实现不同模式的非互易编码。增强系统非对称性可使得正方向和反方向的超传输滞回区间偏离更加显著,故非互易编码区间具有可调性。文章极大的拓展了超材料的非互易模式,正方向和反方向能量传输性能不再局限于传统超材料固定的“传输”或“非传输”状态,可用于实现弹性信息的单向传输功能。

     

    Abstract: It is able to achieve novel properties of vibration transmission by utilizing the nonlinear effects of metastructures. Bistable metastructures are known to possess the nonlinear supratransmission behavior, which states that in the linearized bandgap of metastructures, the transmitted vibration energy increases sharply when the excitation amplitude reaches a certain threshold. In this paper, through establishing the electrical-mechanical coupling numerical model for a piezoelectric metastructure with bistable-circuit shunts, we investigate its nonlinear vibration transmission properties. It is found that, in the local-resonance bandgap of the linearized metastructure around stable equilibria, the supratransmission thresholds exhibit distinctions when the excitation amplitude sweeps up versus down, indicating the emergence of a hysteresis effect in supratransmission. The supratransmission hysteresis range can be effectively shifted through adjusting the distance between the two stable equilibria or weakening the resonance intensity of circuits around them. Furthermore, it is observed that by configurating linear resonant circuits on one side of the metastructure to introduce a system asymmetry, the supratransmission hysteresis ranges of the forward and backward directions deviate away from each other. This nonreciprocal hysteresis effect can enable appearance of different patterns of nonreciprocal codes with respect to the excitation amplitude ranges. The deviation of the supratransmission hysteresis range can be improved if a larger system asymmetry is used, making this sort of nonreciprocal code adaptive. Overall, this research extends the nonreciprocity property of metamaterials, which is not limited to the settled “transmission” or “non-transmission” states of conventional metamaterials in the two opposite directions. It opens up possibilities for achieving unidirectional transmission of elastic information.

     

/

返回文章
返回