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

Gould, Tim and Wang, Charles T. (2004) MEMS beams with defects: a model of non-idealrods using a Cosserat approach for component level modelling. Journal of Micromechanics and Microengineering, 15 (1). pp. 76-80.

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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.

Item Type: Article
Journal or Publication Title: Journal of Micromechanics and Microengineering
Additional Information: The final, definitive version of this article has been published in the Journal of Micromechanics and Microengineering, 15 (1), 2004, © Institute of Physics
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 132
Deposited By: Dr Tim Gould
Deposited On: 02 Mar 2006
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 15:06
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/132

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