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Interval Finite Element Approach for Modal Analysis of Linear Elastic Structures Under Uncertainty

  • Naijia XiaoEmail author
  • Francesco Fedele
  • Rafi Muhanna
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

We present a new Interval Finite Element (IFEM) approach for modal analysis of linear elastic structures with uncertain geometric and material properties. Uncertain parameters are modeled as intervals. Guaranteed interval lower and upper bounds for natural frequencies and modal shapes are attained using a new decomposition strategy of the IFEM matrices that drastically reduces overestimation due to interval dependency. The associated interval generalized eigenvalue problem is solved efficiently by way of a new variant of the iterative enclosure method. Several numerical examples show the accuracy and efficiency of the proposed method.

Keywords

Interval Finite element method Modal analysis Iterative enclosure method Matrix decomposition Generalized eigenvalue problem 

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Copyright information

© The Society for Experimental Mechanics, Inc. 2016

Authors and Affiliations

  1. 1.School of Civil and Environmental Engineering, Georgia Institute of TechnologyAtlantaUSA
  2. 2.School of Civil and Environmental Engineering and School of Electrical and Computer Engineering, Georgia Institute of Technology, Technology Square Research Building (TSRB)AtlantaUSA
  3. 3.School of Civil and Environmental Engineering, Georgia Institute of TechnologyAtlantaUSA

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