Continuum Aeroelastic Model for Inviscid Subsonic Bending-Torsion Wing Flutter
A full continuum aeroelastic model for bending-torsion dynamics of a slender high-aspect-ratio wing in inviscid subsonic airflow is developed avoiding finite element or Padé approximations. The structure model is the classical cantilever model of Goland. The aerodynamics are simplified to the two-dimensional typical section theory. Stability is discussed in the Laplace domain leading to the calculation of the aeroelastic modes, the stability curve, and a precise definition of flutter speed, as well as an explicit formula for divergence speed. The flutter speed is shown to be monotonic decreasing as M increases for small k (normalized complex frequency); if a mode flutters at M=0 then it flutters for every M>0 excepting M=1. A time-domain state space model is developed requiring the language of abstract functional analysis in the form of a “convolution-evolution” equation in a Hilbert space. The time domain model for M=0 differs radically from 0<M<=1. It helps clarify the nature of the aeroelastic modes and flutter instability. The state space model can be used for control design including self-straining actuators.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/08931321
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Supplemental Notes:
- Abstract reprinted with permission from ASCE
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Authors:
- Balakrishnan, A V
- Iliff, K W
- Publication Date: 2007-7
Language
- English
Media Info
- Media Type: Print
- Features: Figures; References;
- Pagination: pp 152-164
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Serial:
- Journal of Aerospace Engineering
- Volume: 20
- Issue Number: 3
- Publisher: American Society of Civil Engineers
- ISSN: 0893-1321
- EISSN: 1943-5525
- Serial URL: http://ascelibrary.org/journal/jaeeez
Subject/Index Terms
- TRT Terms: Aerodynamic force; Aerodynamic stability; Aerodynamics; Aeroelasticity; Aeronautic flutter; Aerospace engineering; Bending; Dynamic stability; Flutter; Stability (Mechanics); Torsion
- Uncontrolled Terms: Structural dynamics
- Subject Areas: Aviation; Vehicles and Equipment;
Filing Info
- Accession Number: 01053729
- Record Type: Publication
- Files: TRIS
- Created Date: Jul 20 2007 9:55AM