An Efficient Re-Analysis Methodology for Vibration of Large-Scale Structures (PREPRINT)

Abstract

Finite element analysis (FEA) is a well-established methodology in structural dynamics. However, optimization and/or probabilistic studies can be prohibitively expensive because they require repeated FEA of large models. Various re-analysis methods have been proposed in order to calculate efficiently the dynamic response of a structure after a baseline design has been modified, without recalculating the new response. The parametric reduced-order modeling (PROM) and the combined approximation (CA) methods are two re-analysis methods, which can handle large model parameter changes in a relatively efficient manner. Although both methods are promising by themselves, they can not handle large FE models with large numbers of degrees of freedom (DOF) (e.g. 100,000) and design parameters (e.g. 50), which are common in practice. In this paper, a new re-analysis method is proposed where the original CA method is modified to further improve its efficiency, especially for problems where a large number of modes is required. The modified CA (MCA) method is then integrated with the PROM approach, in order to formulate a new efficient re-analysis method that is suitable for large FE models with many design parameters that vary in a wide range. A simple frame structure is used to explain all steps of the proposed method. Also, a vibro-acoustic analysis of a realistic vehicle FE model is presented to demonstrate the efficiency and accuracy of the new method. A design optimization study is also performed to highlight the accuracy and efficiency of the proposed re-analysis method.

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Document Details

Document Type
Technical Report
Publication Date
Jan 08, 2011
Accession Number
ADA540391

Entities

People

  • Efstratios Nikolaidis
  • Zissimos P. Mourelatos

Organizations

  • Oakland University

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Computer Programs
  • Dynamic Response
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Bands
  • Frequency Response
  • Genetic Algorithms
  • Optimization
  • Simulations
  • Sound Pressure
  • Structural Response
  • Vibration

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Modeling and Simulation
  • Structural Dynamics.