Topology optimization of thermo-elastically damped MEMS resonators

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Abstract/Contents

Abstract
Micro-electromechanical systems (MEMS) resonators are becoming evermore ubiquitous. The main loss mechanism in these devices is thermo-elastic dissipation (TED). In this thesis a finite element model is developed to simulate TED behavior and a topology optimization scheme is established to modify the internal structure of the resonator in an effort to reduce damping. Each element of the resonant structure is a variable of density between 0 (void) and 1 (solid). The gradients of these variables are calculated and are used to solve a strictly convex subset of the problem using the method of moving asymptotes. The element densities of the model are updated iteratively until an optimal topology is formed. The algorithm proves to be effective at mitigating the effects of TED. Optimal devices have an improvement in quality factor of nearly 10x. Devices are fabricated in single crystal silicon and tested using a lock-in amplifier. The constituent loss modes are able to be quantified experimentally and there is good agreement between modeled and tested devices. This topology optimization algorithm and other tools can be used to improve all types of MEMS resonators.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2018; ©2018
Publication date 2018; 2018
Issuance monographic
Language English

Creators/Contributors

Author Gerrard, Dustin Daniel
Degree supervisor Kenny, Thomas William
Thesis advisor Kenny, Thomas William
Thesis advisor Lew, Adrian
Thesis advisor Tang, Sindy (Sindy K.Y.)
Degree committee member Lew, Adrian
Degree committee member Tang, Sindy (Sindy K.Y.)
Associated with Stanford University, Department of Mechanical Engineering.

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Dustin Daniel Gerrard.
Note Submitted to the Department of Mechanical Engineering.
Thesis Thesis Ph.D. Stanford University 2018.
Location electronic resource

Access conditions

Copyright
© 2018 by Dustin Daniel Gerrard
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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