論文

査読有り 筆頭著者
2009年3月

Reduction of Finite Element Mesh and Model Order for Fast Dynamic Analysis of Global/Local Problem

Journal of Solid Mechanics and Materials Engineering
  • SANDO Atsushi
  • ,
  • TAKANO Naoki
  • ,
  • ASAI Mitsuteru
  • ,
  • TORIYAMA Toshiyuki
  • ,
  • KIDO Shoji
  • ,
  • Jan. G. Korvink

3
3
開始ページ
572
終了ページ
583
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1299/jmmp.3.572
出版者・発行元
The Japan Society of Mechanical Engineers

MEMS structures and machines fabricated by photolithography and/or etching have often repeated unit microstructure. We need to design not only the global parameters but also microscopic and local parameters. In pursuit of this, a dynamic analysis of global/local problem is essential, and especially fast computational method and convenient modeling technique are both required for the MEMS design. Hence, this paper presents the application of model order reduction (MOR) for fast dynamic analysis combined with the finite element mesh superposition (FEMS) technique for practical and convenient modeling of the above-mentioned microstructures. Through two examples, the accuracy is carefully investigated for both global and local responses associated with the base vectors in MOR algorithm. The first example is analyzed by a kind of homogenization technique and MOR. The number of DOFs was finally reduced by a factor of approximately 1/6 (47,362/296,268). In addition, MOR enabled us to reduce the coefficient matrix size to only 300. The second example is analyzed by both FEMS and MOR, and it was found that MOR is also applicable to an unusual matrices generated by FEMS.

リンク情報
DOI
https://doi.org/10.1299/jmmp.3.572
CiNii Articles
http://ci.nii.ac.jp/naid/130000106334
URL
https://jlc.jst.go.jp/DN/JALC/00328158803?from=CiNii
ID情報
  • DOI : 10.1299/jmmp.3.572
  • ISSN : 1880-9871
  • CiNii Articles ID : 130000106334

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