8 April 2010 Efficient order reduction in vibration analysis of periodic structures with uncertainties
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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.
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Zeping Xia, Zeping Xia, Jiong Tang, Jiong Tang, } "Efficient order reduction in vibration analysis of periodic structures with uncertainties", 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; https://doi.org/10.1117/12.847772

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