Zhang Qi, Li Fei-Yan, Li Xue, He Xiao-Ting, Sun Jun-Yi
School of Civil Engineering, Chongqing University, Chongqing 400045, China.
Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, China.
Polymers (Basel). 2022 Sep 14;14(18):3850. doi: 10.3390/polym14183850.
Polymer-based conductive membranes play an important role in the development of elastic deflection-based pressure sensors. In this paper, an analytical solution-based method is presented for the design and numerical calibration of polymer conductive membrane-based circular capacitive pressure sensors from non-touch mode of operation to touch mode of operation. The contact problem of a circular membrane in frictionless contact with a rigid flat plate under pressure is analytically solved, and its analytical solution is used for the design of touch mode circular capacitive pressure sensors for the first time. The analytical relationship with input pressure as independent variable and output capacitance as dependent variable is precisely derived and is used for the numerical calibrations of the analytical relationships with input capacitance as the independent variable and output pressure as the dependent variable in order to meet the capacitive pressure sensor mechanism of detecting pressure by measuring capacitance. For the first time, an example showing the design and numerical calibration of a given (given design parameters) polymer conductive membrane-based circular capacitive pressure sensor from non-touch mode of operation to touch mode of operation is provided. Then, the influence of changing several important design parameters on input capacitance-output pressure relationships is comprehensively investigated in order to clarify the desired input-output relationships when changing design parameters.
基于聚合物的导电膜在基于弹性挠度的压力传感器的发展中起着重要作用。本文提出了一种基于解析解的方法，用于设计和数值校准基于聚合物导电膜的圆形电容式压力传感器，使其从非接触式工作模式转变为接触式工作模式。对圆形膜在压力作用下与刚性平板无摩擦接触的接触问题进行了解析求解，并首次将其解析解用于接触式圆形电容式压力传感器的设计。精确推导了以输入压力为自变量、输出电容为因变量的解析关系，并用于以输入电容为自变量、输出压力为因变量的解析关系的数值校准，以满足电容式压力传感器通过测量电容来检测压力的机制。首次给出了一个示例，展示了给定（给定设计参数）的基于聚合物导电膜的圆形电容式压力传感器从非接触式工作模式到接触式工作模式的设计和数值校准。然后，全面研究了几个重要设计参数的变化对输入电容 - 输出压力关系的影响，以明确改变设计参数时所需的输入 - 输出关系。
