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Design and analysis of a levitated proof mass accelerometer

Design and analysis of a levitated proof mass accelerometer
Design and analysis of a levitated proof mass accelerometer

This work describes the design, analysis and development of a novel MEMS capacitive accelerometer. The device is based on the principle of electrostatic suspension of the proof mass. As such, multi-axial sensing with comparable sensitivities in all degrees of freedom is achievable. The levitated proof mass is controlled by incorporating it into an electromechanical ∑∆ modulator loop, for which the proof mass itself assumes the role of the double integrator.

A thorough analysis of the dynamics, electrostatics and control of the accelerometer is presented. Being untethered, the dynamics of the proof mass are completely described by the squeeze film damping coefficients. These are determined, for both transverse and rotational motion of the proof mass, using finite element modelling. Analytic models are derived to describe the electrostatic sensing and force feedback operations. The equations are based on a Taylor’s series and are validated using the finite element method. The electrostatic fringing fields and passive electrostatic restoring forces that they produce are also modelled analytically. Based on the extracted damping coefficients and derived analytic models, a five degree of freedom, system level model was developed to validate the concept of electrostatic suspension of the proof mass and to identify the key parameters defining the performance of the sensor. In particular, the effects of ambient pressure, multi-axial operation, damping holes, electrode design and controlling electronics on the performance of the sensor is established.

Several different electrode configurations were designed and optimised. A fast generation prototype of the device was fabricated and initial measurement results are presented. The design and fabrication process for the second generation prototypes is also presented.

University of Southampton
Houlihan, Ruth
e35f2045-2362-427c-aeb3-471c55aa5a26
Houlihan, Ruth
e35f2045-2362-427c-aeb3-471c55aa5a26

Houlihan, Ruth (2004) Design and analysis of a levitated proof mass accelerometer. University of Southampton, Doctoral Thesis.

Record type: Thesis (Doctoral)

Abstract

This work describes the design, analysis and development of a novel MEMS capacitive accelerometer. The device is based on the principle of electrostatic suspension of the proof mass. As such, multi-axial sensing with comparable sensitivities in all degrees of freedom is achievable. The levitated proof mass is controlled by incorporating it into an electromechanical ∑∆ modulator loop, for which the proof mass itself assumes the role of the double integrator.

A thorough analysis of the dynamics, electrostatics and control of the accelerometer is presented. Being untethered, the dynamics of the proof mass are completely described by the squeeze film damping coefficients. These are determined, for both transverse and rotational motion of the proof mass, using finite element modelling. Analytic models are derived to describe the electrostatic sensing and force feedback operations. The equations are based on a Taylor’s series and are validated using the finite element method. The electrostatic fringing fields and passive electrostatic restoring forces that they produce are also modelled analytically. Based on the extracted damping coefficients and derived analytic models, a five degree of freedom, system level model was developed to validate the concept of electrostatic suspension of the proof mass and to identify the key parameters defining the performance of the sensor. In particular, the effects of ambient pressure, multi-axial operation, damping holes, electrode design and controlling electronics on the performance of the sensor is established.

Several different electrode configurations were designed and optimised. A fast generation prototype of the device was fabricated and initial measurement results are presented. The design and fabrication process for the second generation prototypes is also presented.

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Published date: 2004

Identifiers

Local EPrints ID: 465696
URI: http://eprints.soton.ac.uk/id/eprint/465696
PURE UUID: eb4113c7-59a4-4c60-8ce0-399d0464d149

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Date deposited: 05 Jul 2022 02:37
Last modified: 16 Mar 2024 20:19

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Contributors

Author: Ruth Houlihan

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