Abstract

A methodology is proposed for the model order reduction of finite element approximations of MEMS devices under random input conditions. In this approach, the reduced order system matrices are represented in terms of their convergent orthogonal polynomial expansions of input random variables. The coefficients of these polynomials, which are matrices, are obtained by repeated, deterministic model order reduction of finite element models generated for specific values of the input random variables. These values are chosen efficiently in a multi-dimensional grid using a Smolyak algorithm. The stochastic reduced order model is represented in the form of an augmented system which can be used for generating the desired statistics of the specific system response. The proposed method provides for significant improvement in computational efficiency over standard Monte Carlo.

Original languageEnglish (US)
Title of host publicationNanotechnology 2010
Subtitle of host publicationElectronics, Devices, Fabrication, MEMS, Fluidics and Computational - Technical Proceedings of the 2010 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2010
Pages577-580
Number of pages4
StatePublished - Nov 9 2010
EventNanotechnology 2010: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - 2010 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2010 - Anaheim, CA, United States
Duration: Jun 21 2010Jun 24 2010

Publication series

NameNanotechnology 2010: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - Technical Proceedings of the 2010 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2010
Volume2

Other

OtherNanotechnology 2010: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - 2010 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2010
CountryUnited States
CityAnaheim, CA
Period6/21/106/24/10

Keywords

  • Finite element
  • Mems
  • Model order reduction
  • Random
  • Stochastic

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering

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    Sumant, P., Wu, H., Cangellaris, A., & Aluru, N. (2010). A sparse grid based collocation method for model order reduction of finite element models of MEMS under uncertainty. In Nanotechnology 2010: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - Technical Proceedings of the 2010 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2010 (pp. 577-580). (Nanotechnology 2010: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - Technical Proceedings of the 2010 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2010; Vol. 2).