A Fractional Calculus Model of Aeroelasticity

Abstract

This thesis introduces a new model of aeroelastic behavior. It simplifies the unsteady aerodynamic force expressions for a flat plate by employing fractional order time derivatives to create a compact fractional order polynomial model of Theodorsen's function. This model is used to reduce the system equations of motion to a single fractional derivative eigenvalue problem. The eigenvalue problem is solved at increasing airspeeds to produce a root locus plot of system stability using airspeed as a gain. This method is shown to yield accurate system instability speeds. Keywords: Aeroelasticity, Control theory, Fractional derivative, Fractional calculus. Theses.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1989
Accession Number
ADA216244

Entities

People

  • David V. Swinney

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aerodynamic Forces
  • Aeroelasticity
  • Air Force
  • Airspeed
  • Bessel Functions
  • Calculus
  • Classification
  • Control Theory
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of Motion
  • Equations Of State
  • Instability
  • Polynomials
  • Unsteady Flow

Readers

  • Aerodynamics/Aeronautics.
  • Control Systems Engineering.
  • Linear Algebra