Nonlinear Modal Analysis and Component Mode Synthesis of Large-Scale Structural Systems

Abstract

The objective of this research was the development and implementation of computational modal analysis methodologies for large scale, complex, nonlinear structures. These methods are based on nonlinear modes of vibration defined and constructed in terms of invariant manifolds. The motivation for the research stems from the fact that the dynamics of nonlinear structures are typically decomposed in terms of the linearized system S modes, often yielding poor modal convergence and too large reduced-order models. Research during the grant years focused on (I) the computational implementation of nonlinear modal analysis for large-scale systems including those modeled via the finite element method, (2) the development of new nonlinear Galerkin techniques for large-amplitude response, and (3) the application of these methods to rotating rotorcraft blades.

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Document Details

Document Type
Technical Report
Publication Date
Feb 20, 2001
Accession Number
ADA388401

Entities

People

  • Christohe Pierre
  • Steven W. Shaw

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Applied Mechanics
  • Convergence
  • Differential Equations
  • Dynamics
  • Engineering
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Mechanical Engineering
  • Mechanics
  • Modal Analysis
  • Nonlinear Systems
  • Reliability
  • Rotary Wing Aircraft
  • Simulations
  • Vibration

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.