Modified Generalized-Alpha Method for Integrating Governing Equations of Very Flexible Aircraft

Abstract

This paper focuses on the time integration of the nonlinear EOM associated with a very flexible aircraft in flight. Various integration methods exist for linear structural dynamics problems. However, a review of the literature indicates little material associated with the integration of nonlinear structural EOM of relatively large order. Moreover, for the problem of simulation of very flexible aircraft, a combination of flight dynamics and aeroelastic degrees of freedom must be integrated concurrently. A modified first and second order Generalized-alpha Method along with an implicit sub-literation scheme were developed. It has shown good agreement with predictor/corrector integration schemes for a reduced set of linear EOM. The method is also seen to be numerically stable when compared to non-dissipative time marching integration schemes and requires less computational time compared to predictor/corrector methods for the full set of nonlinear EOM.

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Document Details

Document Type
Technical Report
Publication Date
Apr 14, 2006
Accession Number
ADA446258

Entities

People

  • Carlos E. S. Cesnik
  • Christopher M. Shearer

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Sensors
  • Space

DTIC Thesaurus Topics

  • Aeronautics
  • Air Force
  • Aircrafts
  • Astronautics
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Linear Differential Equations
  • Linear Systems
  • Nonlinear Differential Equations
  • Numerical Integration
  • Physical Properties
  • United States
  • Vehicles

Readers

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  • Canadian European Scientific Immigration and Epilepsy Clearance Studies
  • Fluid Dynamics.