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Calculation of aeroelastic limit cycles due to localized nonlinearity and static preload

Publication ,  Journal Article
Padmanabhan, MA; Dowell, EH
Published in: AIAA Journal
January 1, 2017

The presence of a static preload can significantly alter the limit cycle oscillation response of nonlinear aeroelastic systems. This paper reports a numerical study of two distinct types of preload, mechanical (i.e., independent of flow velocity) and aerodynamic (i.e., dependent on flow velocity), and their effects on limit cycle behavior. Simulations are carried out on models of a wing-with-store and an all-moving surface, respectively, with linear potential flow aerodynamics and a localized structural nonlinearity. Novel, computationally efficient methods based on dual-input describing functions are proposed and employed for calculating limit cycles, thereby generalizing earlier work that used single-input describing functions for the no-preload situation. Results are presented for a smooth nonlinearity (cubic hardening) and a nonsmooth one (classical freeplay), along with selected time marching responses. Finally, the feasibility of including nonlinear aerodynamics in the present framework is discussed.

Duke Scholars

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 2017

Volume

55

Issue

8

Start / End Page

2762 / 2772

Related Subject Headings

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

Citation

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Padmanabhan, M. A., & Dowell, E. H. (2017). Calculation of aeroelastic limit cycles due to localized nonlinearity and static preload. AIAA Journal, 55(8), 2762–2772. https://doi.org/10.2514/1.J055505
Padmanabhan, M. A., and E. H. Dowell. “Calculation of aeroelastic limit cycles due to localized nonlinearity and static preload.” AIAA Journal 55, no. 8 (January 1, 2017): 2762–72. https://doi.org/10.2514/1.J055505.
Padmanabhan MA, Dowell EH. Calculation of aeroelastic limit cycles due to localized nonlinearity and static preload. AIAA Journal. 2017 Jan 1;55(8):2762–72.
Padmanabhan, M. A., and E. H. Dowell. “Calculation of aeroelastic limit cycles due to localized nonlinearity and static preload.” AIAA Journal, vol. 55, no. 8, Jan. 2017, pp. 2762–72. Scopus, doi:10.2514/1.J055505.
Padmanabhan MA, Dowell EH. Calculation of aeroelastic limit cycles due to localized nonlinearity and static preload. AIAA Journal. 2017 Jan 1;55(8):2762–2772.
Journal cover image

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 2017

Volume

55

Issue

8

Start / End Page

2762 / 2772

Related Subject Headings

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