Modelling and Analysis of Kernel Function and Development of Equivalent Theodorsen Function for Three-Dimensional Aeroelastic Analysis

Abstract

A fractional calculus model is developed for the kernal function under incompressible subsonic flow conditions for rectangular planform airfoils with small aspect ratio. A model valid for restricted regions of the kernel function for compressible subsonic flow conditions is also developed. Additionally, a method for numerically solving the pressure-downwash integral equation for rectangular planform wings of aspect ratio two through ten in incompressible flow is developed. An equivalent Theodorsen function for three- dimensional unsteady flow is developed, enabling the use of simpler two- dimensional aeroelastic equations of motion to fully capture the more complicated three-dimensional effects.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1990
Accession Number
ADA230628

Entities

People

  • John K. Ryder

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aspect Ratio
  • Asymptotic Series
  • Calculus
  • Cartesian Coordinates
  • Control Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Integral Equations
  • Integrals
  • Kernel Functions
  • Mathematics
  • Pressure Distribution
  • Subsonic Flow
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Aerospace Engineering
  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)