A harmonic balance approach for modeling three-dimensional nonlinear unsteady aerodynamics and aeroelasticity

Published

Conference Paper

Presented is a frequency domain harmonic balance (HB) technique for modeling nonlinear unsteady aerodynamics of three-dimensional transonic inviscid flows about wing configurations. The method can be used to model efficiently nonlinear unsteady aerodynamic forces due to finite amplitude motions of a prescribed unsteady oscillation frequency. When combined with a suitable structural model, aeroelastic (fluid-structure), analyses may be performed at a greatly reduced cost relative to time marching methods to determine the limit cycle oscillations (LCO) that may arise. As a demonstration of the method, nonlinear unsteady aerodynamic response and limit cycle oscillation trends are presented for the AGARD 445.6 wing configuration. Computational results based on the inviscid flow model indicate that the AGARD 445.6 wing configuration exhibits only mildly nonlinear unsteady aerodynamic effects for relatively large amplitude motions. Furthermore, and most likely a consequence of the observed mild nonlinear aerodynamic behavior, the aeroelastic limit cycle oscillation amplitude is predicted to increase rapidly for reduced velocities beyond the flutter boundary. This is consistent with results from other time-domain calculations. Although not a configuration that exhibits strong LCO characteristics, the AGARD 445.6 wing nonetheless serves as an excellent example for demonstrating the HB/LCO solution procedure. Copyright © 2002 by ASME.

Full Text

Duke Authors

Cited Authors

  • Thomas, JP; Dowell, EH; Hall, KC

Published Date

  • January 1, 2002

Published In

  • Asme International Mechanical Engineering Congress and Exposition, Proceedings

Start / End Page

  • 1323 - 1334

International Standard Book Number 10 (ISBN-10)

  • 0791836592

International Standard Book Number 13 (ISBN-13)

  • 9780791836590

Digital Object Identifier (DOI)

  • 10.1115/IMECE2002-32532

Citation Source

  • Scopus