A stochastic modal decomposition framework for the analysis of structural dynamics under uncertainties

Hadi Meidani, Roger Ghanem

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The uncertainty quantification in the dynamic response of structures under uncertainties in the geometric and material properties as well as the randomness in the external loading is discussed. The dynamics analysis of the wind turbine blades can be performed using the proposed formalism when the finite element discretization of the corresponding cantilever beam model is further reduced based on the associated spectral behavior. The impact of the uncertainties in the geometry and material properties on the spectral property of the beam is quantified using a computationally efficient solution algorithm for the stochastic eigenvalue problem. The algorithm extends the ideas of power iteration and subspace iteration to the stochastic operators, based on which the a lower dimensional dominant subspace is constructed based on the random eigenvalues and eigenvectors are calculated which subsequently facilitates the computation of the random response. Numerical results are then shown to verify the efficiency of the proposed framework.

Original languageEnglish (US)
Title of host publication53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
StatePublished - Dec 1 2012
Externally publishedYes
Event53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Honolulu, HI, United States
Duration: Apr 23 2012Apr 26 2012

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
ISSN (Print)0273-4508

Other

Other53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Country/TerritoryUnited States
CityHonolulu, HI
Period4/23/124/26/12

ASJC Scopus subject areas

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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