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Nonlinear theoretical aeroelastic model of a plate: Free to fixed in-plane boundaries

Publication ,  Journal Article
Freydin, M; Dowell, EH
Published in: AIAA Journal
January 1, 2021

It is well known that the nonlinear response of a beam or plate is sensitive to the assumptions made about the in-plane boundary constraints. This is true for any static or dynamic loading, and especially for aerodynamic loads that may lead to a dynamic instability and limit cycle oscillations. In the present paper, a mathematical and computational model for the general case has been created to allow for the full range of in-plane boundary constraints to be considered. This is of fundamental interest but is also of considerable practical interest, in that physical structures usually fall somewhere between the two limiting cases. Moreover, it is shown that prior models of even the limiting cases are, at best, approximations of these special cases; and comparisons between the present model and prior models provide new insights into these issues. The model is also correlated with a recent hypersonic wind-tunnel experiment. The effect of in-plane constraints is investigated on buckling, vibration about a nonlinear deformed state due to static pressure differential, flutter onset, and postflutter limit cycle oscillation.

Duke Scholars

Published In

AIAA Journal

DOI

EISSN

1533-385X

ISSN

0001-1452

Publication Date

January 1, 2021

Volume

59

Issue

2

Start / End Page

658 / 672

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
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ICMJE
MLA
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Freydin, M., & Dowell, E. H. (2021). Nonlinear theoretical aeroelastic model of a plate: Free to fixed in-plane boundaries. AIAA Journal, 59(2), 658–672. https://doi.org/10.2514/1.J059551
Freydin, M., and E. H. Dowell. “Nonlinear theoretical aeroelastic model of a plate: Free to fixed in-plane boundaries.” AIAA Journal 59, no. 2 (January 1, 2021): 658–72. https://doi.org/10.2514/1.J059551.
Freydin M, Dowell EH. Nonlinear theoretical aeroelastic model of a plate: Free to fixed in-plane boundaries. AIAA Journal. 2021 Jan 1;59(2):658–72.
Freydin, M., and E. H. Dowell. “Nonlinear theoretical aeroelastic model of a plate: Free to fixed in-plane boundaries.” AIAA Journal, vol. 59, no. 2, Jan. 2021, pp. 658–72. Scopus, doi:10.2514/1.J059551.
Freydin M, Dowell EH. Nonlinear theoretical aeroelastic model of a plate: Free to fixed in-plane boundaries. AIAA Journal. 2021 Jan 1;59(2):658–672.

Published In

AIAA Journal

DOI

EISSN

1533-385X

ISSN

0001-1452

Publication Date

January 1, 2021

Volume

59

Issue

2

Start / End Page

658 / 672

Related Subject Headings

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