Numerical Analysis of Stochastic Dynamical Systems in the Medium-Frequency Range

Abstract

A stochastic finite element method (SFEM) has been applied to the mid-frequency vibration analysis of complex structural systems. A frequency domain model reduction strategy is devised using tae energy operator approach. The dominant eigen-subspace of the energy operator adapted to a specified frequency band allows the construction of a reduced model using the Ritz-Galerkin procedure. Once an efficient reduced model is constructed, the system parameter uncertainty is performed using SFEM approach. The approach allows significant computational efficiency in performing system parameter uncertainty analysis. The SFEM approach utilized is based on an integration of the Karhunen-Loeve and the Polynomial chaos expansions with the energy operator methodology.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2003
Accession Number
ADP014116

Entities

People

  • Abhijit Sarkar
  • Roger Ghanem

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Frequency
  • Frequency Bands
  • Frequency Response
  • Gas Turbines
  • Medium Frequency
  • Modal Analysis
  • Modulus Of Elasticity
  • Monte Carlo Method
  • Numerical Analysis
  • Random Variables
  • Resonant Frequency
  • Simulations
  • Stochastic Processes

Fields of Study

  • Engineering

Readers

  • Neural Network Machine Learning.
  • Robotics and Automation.
  • Structural Dynamics.