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Proceedings Paper

Efficient order reduction in vibration analysis of periodic structures with uncertainties
Author(s): Zeping Xia; Jiong Tang
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Paper Abstract

Vibration analysis of structures with uncertainty is challenging for a variety of reasons. In addition to the difficulty in quantifying uncertainties in the finite element model, analyzing a model with known uncertainties is generally computationally costly, especially for a system with large number of degrees of freedom. This paper explores incorporating uncertainty analysis into one typical order-reduction technique, the component mode synthesis (CMS) method. We first provide a derivation of the general approximation formula for the free interface CMS method, followed by a Monte Carlo sampling-based procedure directly utilizing the reduced-order model. Through numerical analysis, this paper demonstrates the feasibility and numerical accuracy of uncertainty analysis of periodic structures using CMS-based reduced order modeling.

Paper Details

Date Published: 8 April 2010
PDF: 11 pages
Proc. SPIE 7649, Nondestructive Characterization for Composite Materials, Aerospace Engineering, Civil Infrastructure, and Homeland Security 2010, 76491S (8 April 2010); doi: 10.1117/12.847772
Show Author Affiliations
Zeping Xia, Univ. of Connecticut (United States)
Jiong Tang, Univ. of Connecticut (United States)


Published in SPIE Proceedings Vol. 7649:
Nondestructive Characterization for Composite Materials, Aerospace Engineering, Civil Infrastructure, and Homeland Security 2010
Peter J. Shull; Aaron A. Diaz; H. Felix Wu, Editor(s)

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