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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. 力学学报, 2024, 56(6): 1-11. DOI: 10.6052/0459-1879-23-612
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. 力学学报, 2024, 56(6): 1-11. DOI: 10.6052/0459-1879-23-612
Zheng Yisheng, Chen Yihan, Qu Yegao, Meng Guang. Supratransmission hysteresis and nonreciprocal codes in a piezoelectric metastructure with bistable-circuit shunts. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(6): 1-11. DOI: 10.6052/0459-1879-23-612
Citation: Zheng Yisheng, Chen Yihan, Qu Yegao, Meng Guang. Supratransmission hysteresis and nonreciprocal codes in a piezoelectric metastructure with bistable-circuit shunts. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(6): 1-11. DOI: 10.6052/0459-1879-23-612

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 CODES 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, 传输的振动能量将突变到很大值. 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, 并采用伽辽金法对数值模型进行降阶处理以提升计算效率. 基于上述模型研究了双稳态压电超结构的振动能量非线性传输特性, 发现超结构线性局域共振带隙内的超传输特性存在滞回效应, 也即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, 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. 文章极大地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, 通过合适的非互易编码设计可以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, the electrical-mechanical coupling numerical model is established for a piezoelectric metastructure with bistable-circuit shunts, the model order of which is further reduced by using the Galerkin method for improving the computation efficiency. With the achieved dynamic model, we investigate the nonlinear properties of vibration transmission through the bistable piezoelectric metastructure. 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 enables appearance of different patterns of nonreciprocal codes in the metastructure, which can be tuned by altering the excitation amplitude. The deviation of the forward and backward supratransmission hysteresis ranges can be improved if a larger system asymmetry is used, making this sort of nonreciprocal codes adaptive. Overall, this research extends the nonreciprocity patterns of conventional metamaterials, which is not limited to the settled “transmission” or “non-transmission” states of elastic wave in the two opposite directions. The deliberately designed elastic binary codes can be seen as a sort of elastic information. Therefore, this research also opens up possibilities for achieving unidirectional transmission of elastic information.

     

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