Uncertainty analysis for design of a graphene resonant gyroscope

Yang Lu, Zhan-She Guo, Shang-Chun Fan, Tong Shi
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Abstract

With considerably small structure and ultrahigh sensitivity, the graphene resonant gyroscope has been widely used in aviation, aerospace and deep-sea exploration where sensing the extremely weak angular velocity changes is required. However, small difference in the size of graphene resonant gyroscope caused by inherent uncertainties in various processing and material parameters will lead to huge differences in the output results. This will reduce the reliability of graphene resonant gyroscope. Based on the above issues, the uncertainty analysis method is adopted to establish a numerical model on the direct output resonant frequency and sensitivity of the graphene resonant gyroscope, and a random model based on sampling is introduced. The influence of the uncertainty of six input parameters on the graphene resonant frequency and sensitivity output is clarified, and thus the effect degree of the main parameters, which play a key role in the performance of the graphene resonant gyroscope, is obtained. The results show that the length, width and thickness of the graphene resonant beam have greater impacts on the output parameters, which provides theoretical guidance for the graphene resonant gyroscope to adapt to different measurement ranges.

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石墨烯谐振陀螺仪设计的不确定性分析
石墨烯谐振陀螺仪具有相当小的结构和超高灵敏度,已被广泛应用于航空、航天和深海探测等需要感应极微弱角速度变化的领域。然而,由于各种加工和材料参数固有的不确定性,石墨烯谐振陀螺仪尺寸的微小差异会导致输出结果的巨大差异。这将降低石墨烯谐振陀螺仪的可靠性。基于上述问题,采用不确定性分析方法建立了石墨烯谐振陀螺仪直接输出谐振频率和灵敏度的数值模型,并引入了基于采样的随机模型。明确了六个输入参数的不确定性对石墨烯谐振频率和灵敏度输出的影响,从而得到了对石墨烯谐振陀螺仪性能起关键作用的主要参数的影响程度。结果表明,石墨烯谐振梁的长度、宽度和厚度对输出参数的影响较大,这为石墨烯谐振陀螺仪适应不同的测量范围提供了理论指导。
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