Flexoelectric effect is a more universal electromechanical coupling effect than piezoelectric effect. Flexoelectric beams as the main structural component of flexoelectric power signal output have broad application prospects in the next generation of micro–nano electromechanical systems. However, the electrical signal output of flexoelectric structures in macro-scale is far less than the output of the piezoelectric signal. Therefore, it is urgent to explore the influence of the parameter uncertainties on the electrical signal output of the flexoelectric structures, in order to improve the electrical signal output of flexoelectric materials with excellent design performance. Based on the quasi-static theory, the output voltage model and the output charge model of flexoelectric structures as well as the effective piezoelectric coefficient model are constructed. Then the influences of the flexoelectric parameters on the output voltage and the output charge are researched as well as the influence of the effective piezoelectric coefficient. Finally, the influences of uncertain parameters under different electrical states (e.g. the electrical open circuit and short circuit states) on the output performance of flexoelectric signal are studied by the quasi-Monte Carlo method, in order to further provide a reference for the reliability analysis and optimization design of the flexoelectric structures.

中文翻译：

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参数不确定的多状态挠电结构电信号输出的拟蒙特卡罗方法分析

挠曲电效应是比压电效应更普遍的机电耦合效应。柔电梁作为柔电功率信号输出的主要结构部件，在下一代微纳机电系统中具有广阔的应用前景。然而，柔性电结构在宏观尺度上的电信号输出远小于压电信号的输出。因此，迫切需要探讨参数不确定性对柔性电结构电信号输出的影响，以提高具有优异设计性能的柔性电材料的电信号输出。基于准静态理论，建立了柔性电结构的输出电压模型、输出电荷模型以及有效压电系数模型。然后研究了挠曲电参数对输出电压和输出电荷的影响以及有效压电系数的影响。最后，采用拟蒙特卡罗方法研究了不同电气状态（例如电气开路和短路状态）下的不确定参数对柔性电信号输出性能的影响，以进一步为可靠性分析提供参考。柔性电结构的优化设计。