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One and Two-Dimensional Mass Spring Computational Model for Phononic Band Gap Analysis

Computation model is presented for mass spring systems of one and two dimensional
phononic band gap crystals and micro-electro-mechanical systems. The
computation model is veri ed with existing work, and phononic band gap microelectro-
mechanical systems are analyzed.
Phononic band gap in the scienti c and industrial community is discussed. The
motivation and the recent popular methods are discussed. The computation models
are highlighted with their pros and cons and adequate computational applications.
The one dimensional mass spring model is developed and the simulator operation
is validated through comparison with the published simulation data in the original
paper by J.S. Jensen et al.. Additionally, the one dimensional mass spring
simulator is validated for a micro-electro-mechanical system band structure. The
two dimensional mass spring model is developed, as well, the simulator operation
is validated through comparison with the published simulation data in the
original paper by J.S. Jensen et al.. The two-dimensional simulator is utilized to
analyze solid square-shaped, hollow square-shaped, solid diamond-shaped, and hollow
diamond-shaped inclusion micro-electro-mechanical band gap structures. The
solid inclusion-based micro-electro-mechanical band gap results are compared with
hollow inclusion-based micro-electro-mechanical structures.

Identiferoai:union.ndltd.org:WATERLOO/oai:uwspace.uwaterloo.ca:10012/4662
Date January 2009
CreatorsCao, Zhan John
Source SetsUniversity of Waterloo Electronic Theses Repository
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation

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