Polymer Conductive Membrane-Based Non-Touch Mode Circular Capacitive Pressure Sensors: An Analytical Solution-Based Method for Design and Numerical Calibration

In this paper, an analytical solution-based method for the design and numerical calibration of polymer conductive membrane-based non-touch mode circular capacitive pressure sensors is presented. The accurate analytical relationship between the capacitance and applied pressure of the sensors is deriv...

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Main Authors: Fei-Yan Li, Qi Zhang, Xue Li, Xiao-Ting He, Jun-Yi Sun
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/14/15/3087
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author Fei-Yan Li
Qi Zhang
Xue Li
Xiao-Ting He
Jun-Yi Sun
author_facet Fei-Yan Li
Qi Zhang
Xue Li
Xiao-Ting He
Jun-Yi Sun
author_sort Fei-Yan Li
collection DOAJ
description In this paper, an analytical solution-based method for the design and numerical calibration of polymer conductive membrane-based non-touch mode circular capacitive pressure sensors is presented. The accurate analytical relationship between the capacitance and applied pressure of the sensors is derived by using the analytical solution for the elastic behavior of the circular polymer conductive membranes under pressure. Based on numerical calculations using the accurate analytical relationship and the analytical solution, the analytical relationship between the pressure as output and the capacitance as input, which is necessary to achieve the capacitive pressure sensor mechanism of detecting pressure by measuring capacitance, is accurately established by least-squares data fitting. An example of how to arrive at the design and numerical calibration of a non-touch mode circular capacitive pressure sensor is first given. Then, the influence of changing design parameters such as membrane thickness and Young’s modulus of elasticity on input–output relationships is investigated, thus clarifying the direction of approaching the desired input–output relationships by changing design parameters.
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spelling doaj.art-4287400946354cd69505d61583d0fd9c2023-12-03T12:56:31ZengMDPI AGPolymers2073-43602022-07-011415308710.3390/polym14153087Polymer Conductive Membrane-Based Non-Touch Mode Circular Capacitive Pressure Sensors: An Analytical Solution-Based Method for Design and Numerical CalibrationFei-Yan Li0Qi Zhang1Xue Li2Xiao-Ting He3Jun-Yi Sun4School of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaIn this paper, an analytical solution-based method for the design and numerical calibration of polymer conductive membrane-based non-touch mode circular capacitive pressure sensors is presented. The accurate analytical relationship between the capacitance and applied pressure of the sensors is derived by using the analytical solution for the elastic behavior of the circular polymer conductive membranes under pressure. Based on numerical calculations using the accurate analytical relationship and the analytical solution, the analytical relationship between the pressure as output and the capacitance as input, which is necessary to achieve the capacitive pressure sensor mechanism of detecting pressure by measuring capacitance, is accurately established by least-squares data fitting. An example of how to arrive at the design and numerical calibration of a non-touch mode circular capacitive pressure sensor is first given. Then, the influence of changing design parameters such as membrane thickness and Young’s modulus of elasticity on input–output relationships is investigated, thus clarifying the direction of approaching the desired input–output relationships by changing design parameters.https://www.mdpi.com/2073-4360/14/15/3087capacitive pressure sensorpolymer conductive membranelarge deflectionanalytical solutionnumerical calibration
spellingShingle Fei-Yan Li
Qi Zhang
Xue Li
Xiao-Ting He
Jun-Yi Sun
Polymer Conductive Membrane-Based Non-Touch Mode Circular Capacitive Pressure Sensors: An Analytical Solution-Based Method for Design and Numerical Calibration
Polymers
capacitive pressure sensor
polymer conductive membrane
large deflection
analytical solution
numerical calibration
title Polymer Conductive Membrane-Based Non-Touch Mode Circular Capacitive Pressure Sensors: An Analytical Solution-Based Method for Design and Numerical Calibration
title_full Polymer Conductive Membrane-Based Non-Touch Mode Circular Capacitive Pressure Sensors: An Analytical Solution-Based Method for Design and Numerical Calibration
title_fullStr Polymer Conductive Membrane-Based Non-Touch Mode Circular Capacitive Pressure Sensors: An Analytical Solution-Based Method for Design and Numerical Calibration
title_full_unstemmed Polymer Conductive Membrane-Based Non-Touch Mode Circular Capacitive Pressure Sensors: An Analytical Solution-Based Method for Design and Numerical Calibration
title_short Polymer Conductive Membrane-Based Non-Touch Mode Circular Capacitive Pressure Sensors: An Analytical Solution-Based Method for Design and Numerical Calibration
title_sort polymer conductive membrane based non touch mode circular capacitive pressure sensors an analytical solution based method for design and numerical calibration
topic capacitive pressure sensor
polymer conductive membrane
large deflection
analytical solution
numerical calibration
url https://www.mdpi.com/2073-4360/14/15/3087
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