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A Reduced Order System ID Approach to the Modeling of Nonlinear Structural Behavior in Aeroelasticity

[+] Author Affiliations
Peter J. Attar

AFRL/VAAC, Wright-Patterson AFB, OH

Earl H. Dowell

Duke University, Durham, NC

Paper No. DETC2005-84309, pp. 1271-1279; 9 pages
  • ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C
  • Long Beach, California, USA, September 24–28, 2005
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4738-1 | eISBN: 0-7918-3766-1
  • Copyright © 2005 by ASME


A method is proposed for identifying a set of reduced order, nonlinear equations which describe the structural behavior of aeroelastic configurations. The strain energy of the system is written as a (polynomial) function of the structures’ modal amplitudes. The unknown coefficients of these polynomials are then computed using the strain energy data calculated from a steady state, high-order, nonlinear finite element model. The resulting strain energy expression can then be be used to develop the modal equations of motion. From these equations zero and nonzero angle of attack flutter and LCO data are computed for a 45 degree delta wing aeroelastic model. The results computed using the reduced order model compare well with those from a high fidelity aeroelastic model and to experiment. A two to three order of magnitude reduction in the number of structural equations and a two order of magnitude reduction in total computational time is accomplished using the current reduced order method.

Copyright © 2005 by ASME



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