Skip to main content
Journal cover image

Harmonic balance analysis of limit cycle oscillations in turbomachinery

Publication ,  Journal Article
Ekici, K; Hall, KC
Published in: AIAA Journal
July 1, 2011

A harmonic balance technique for the analysis of limit cycle oscillations of turbomachinery blades is presented. This method couples a computational fluid dynamics model to a single-degree-of-freedom structural dynamic model of the turbomachinery blades. The computational fluid dynamics solver uses a nonlinear frequency-domain (harmonic balance) approach that allows one to model the blade row of a turbomachine on a computational grid spanning a single blade passage. Using the harmonic balance approach, several solutions, each one corresponding to a different subtime level of the periodic unsteady flow, are computed simultaneously. These subtime-level solutions are coupled to each other in the computational field by a spectral approximation of the time-derivative term in the Navier-Stokes equation and also by application of far-field and periodic boundary conditions. The structural dynamic model is based on a similar approach in which a single vibratory mode of interest is modeled using the harmonic balance technique. The two solvers are coupled together through the upwash condition on the surface of the blade and the resulting generalized aerodynamic forces. In the proposed approach, the limit cycle oscillation frequency is treated as another unknown, which is solved iteratively, together with the governing equations of fluid flow and structural dynamics, thereby driving the residual of the aeroelastic problem to convergence in a single computational fluid dynamics run. The accuracy of the new method is compared with two other techniques and it is shown to offer significant computational savings. Copyright © 2011 by Kivanc Ekici and Kenneth C. Hall. Published by the American Institute of Aeronautics and Astronautics, Inc.

Duke Scholars

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

July 1, 2011

Volume

49

Issue

7

Start / End Page

1478 / 1487

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Ekici, K., & Hall, K. C. (2011). Harmonic balance analysis of limit cycle oscillations in turbomachinery. AIAA Journal, 49(7), 1478–1487. https://doi.org/10.2514/1.J050858
Ekici, K., and K. C. Hall. “Harmonic balance analysis of limit cycle oscillations in turbomachinery.” AIAA Journal 49, no. 7 (July 1, 2011): 1478–87. https://doi.org/10.2514/1.J050858.
Ekici K, Hall KC. Harmonic balance analysis of limit cycle oscillations in turbomachinery. AIAA Journal. 2011 Jul 1;49(7):1478–87.
Ekici, K., and K. C. Hall. “Harmonic balance analysis of limit cycle oscillations in turbomachinery.” AIAA Journal, vol. 49, no. 7, July 2011, pp. 1478–87. Scopus, doi:10.2514/1.J050858.
Ekici K, Hall KC. Harmonic balance analysis of limit cycle oscillations in turbomachinery. AIAA Journal. 2011 Jul 1;49(7):1478–1487.
Journal cover image

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

July 1, 2011

Volume

49

Issue

7

Start / End Page

1478 / 1487

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering