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A Theoretical Study on Static Gas Pressure Measurement via Circular Non-Touch Mode Capacitive Pressure Sensor.

Ji Wu1, Xiao-Ting He1,2, Jun-Yi Sun1,2

  • 1School of Civil Engineering, Chongqing University, Chongqing 400045, China.

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|August 29, 2024
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Summary

This study presents a new analytical solution for circular non-touch capacitive pressure sensors under normal loading. The improved model accurately describes larger elastic deflections, enhancing sensor design and calibration for static gas pressure measurement.

Keywords:
analytical solutioncapacitive pressure sensorlarge deflectionnumerical calibrationstatic gas pressure

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Area of Science:

  • Mechanical Engineering
  • Electrical Engineering
  • Materials Science

Background:

  • Circular non-touch mode capacitive pressure sensors exhibit different elastic behaviors under transverse and normal loading.
  • Existing analytical models for transverse loading are not applicable to normal loading, necessitating new theoretical frameworks.
  • Accurate modeling is crucial for the design and calibration of these sensors, particularly for static gas pressure measurements.

Purpose of the Study:

  • To develop an improved analytical solution for the elastic behavior of a movable electrode plate in a circular non-touch mode capacitive pressure sensor under normal uniform loading.
  • To provide a more accurate mathematical description for larger elastic deflections compared to existing solutions.
  • To establish a theoretical basis for the numerical design and calibration of sensors operating in normal loading mode.

Main Methods:

  • Analytical solution of the elastic behavior of the movable electrode plate using improved governing equations.
  • Mathematical modeling of the sensor's response under normal uniform loading.
  • Comparison of the obtained analytical solution with existing literature solutions for validation.

Main Results:

  • An improved analytical solution was derived for the movable electrode plate's elastic behavior under normal uniform loading.
  • The new solution accurately describes larger elastic deflections, surpassing the capabilities of existing models.
  • The findings provide a more robust theoretical foundation for designing and calibrating these sensors.

Conclusions:

  • The developed analytical solution offers a significant advancement for circular non-touch mode capacitive pressure sensors operating under normal loading.
  • This research expands the technical possibilities for developing sensors capable of precise static gas pressure measurement.
  • The study highlights the distinct theoretical requirements for normal versus transverse loading modes in capacitive pressure sensor design.