MEMS beams with defects: a model of non-ideal rods using a Cosserat approach for component level modelling

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Abstract

We present and derive a technique for the introduction of defects into a beam model based on the Cosserat theory of rods. The technique is designed for the derivation of component models of non-ideal rods for use in MEMS devices. We also present a worked through example of blob/nick defects (where the rod has an area with an excess/lack of material) and a guide for a model with random pits and blobs along the length of the beam. Finally we present a component level model of a beam with a defect and compare it to results from a finite element analysis simulation. We test the Cosserat model for two cases without any defect and four with a defect. Results are in good agreement with a maximum 0.5% difference for the ideal case and under 1% differences for all but one of the defective cases, the exception being a 2% error in an extreme case for which the model is expected to break down. Overall, the Cosserat model with and without defects provides an accurate way of modelling slender structures. In addition, simulation times are greatly reduced through this approach and further development for both component level models as well as FEA components is important for practical yet accurate modelling of MEMS both for prediction and comparison.

Original languageEnglish
Pages (from-to)76-80
Number of pages4
JournalJournal of Micromechanics and Microengineering
Volume15
Issue number1
DOIs
Publication statusPublished - Jan 2005

Cite this

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title = "MEMS beams with defects: a model of non-ideal rods using a Cosserat approach for component level modelling",
abstract = "We present and derive a technique for the introduction of defects into a beam model based on the Cosserat theory of rods. The technique is designed for the derivation of component models of non-ideal rods for use in MEMS devices. We also present a worked through example of blob/nick defects (where the rod has an area with an excess/lack of material) and a guide for a model with random pits and blobs along the length of the beam. Finally we present a component level model of a beam with a defect and compare it to results from a finite element analysis simulation. We test the Cosserat model for two cases without any defect and four with a defect. Results are in good agreement with a maximum 0.5{\%} difference for the ideal case and under 1{\%} differences for all but one of the defective cases, the exception being a 2{\%} error in an extreme case for which the model is expected to break down. Overall, the Cosserat model with and without defects provides an accurate way of modelling slender structures. In addition, simulation times are greatly reduced through this approach and further development for both component level models as well as FEA components is important for practical yet accurate modelling of MEMS both for prediction and comparison.",
author = "Wang, {Charles Hou-Tzao} and T. Gould",
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doi = "10.1088/0960-1317/15/1/012",
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TY - JOUR

T1 - MEMS beams with defects: a model of non-ideal rods using a Cosserat approach for component level modelling

AU - Wang, Charles Hou-Tzao

AU - Gould, T.

PY - 2005/1

Y1 - 2005/1

N2 - We present and derive a technique for the introduction of defects into a beam model based on the Cosserat theory of rods. The technique is designed for the derivation of component models of non-ideal rods for use in MEMS devices. We also present a worked through example of blob/nick defects (where the rod has an area with an excess/lack of material) and a guide for a model with random pits and blobs along the length of the beam. Finally we present a component level model of a beam with a defect and compare it to results from a finite element analysis simulation. We test the Cosserat model for two cases without any defect and four with a defect. Results are in good agreement with a maximum 0.5% difference for the ideal case and under 1% differences for all but one of the defective cases, the exception being a 2% error in an extreme case for which the model is expected to break down. Overall, the Cosserat model with and without defects provides an accurate way of modelling slender structures. In addition, simulation times are greatly reduced through this approach and further development for both component level models as well as FEA components is important for practical yet accurate modelling of MEMS both for prediction and comparison.

AB - We present and derive a technique for the introduction of defects into a beam model based on the Cosserat theory of rods. The technique is designed for the derivation of component models of non-ideal rods for use in MEMS devices. We also present a worked through example of blob/nick defects (where the rod has an area with an excess/lack of material) and a guide for a model with random pits and blobs along the length of the beam. Finally we present a component level model of a beam with a defect and compare it to results from a finite element analysis simulation. We test the Cosserat model for two cases without any defect and four with a defect. Results are in good agreement with a maximum 0.5% difference for the ideal case and under 1% differences for all but one of the defective cases, the exception being a 2% error in an extreme case for which the model is expected to break down. Overall, the Cosserat model with and without defects provides an accurate way of modelling slender structures. In addition, simulation times are greatly reduced through this approach and further development for both component level models as well as FEA components is important for practical yet accurate modelling of MEMS both for prediction and comparison.

U2 - 10.1088/0960-1317/15/1/012

DO - 10.1088/0960-1317/15/1/012

M3 - Article

VL - 15

SP - 76

EP - 80

JO - Journal of Micromechanics and Microengineering

JF - Journal of Micromechanics and Microengineering

SN - 0960-1317

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