Effect of Aspect Ratio on Undamped Torsional Oscillations of a Thin Rectangular Wing in Supersonic Flow

Abstract

The theory for single-degree torsional instability of a two-dimensional wing oscillating in a supersonic stream is extended so as to apply to a finite rectangular wing oscillating in a supersonic stream. The velocity potential and aerodynamic-torsional-moment coefficient based on the linearized equations of motion for small disturbances are derived by means of appropriate distributions of moving sources and doublets. The aerodynamic-torsional-moment coefficient thus derived is combined with a mechanical-damping coefficient to study the effect of aspect ratio on the undamped torsional oscillations of a finite rectangular wing. Decreasing the aspect ratio of the wing is found to have a highly stabilizing effect on the undamped torsional oscillations. Results of some selected calculations are presented in several figures. It is pointed out that second-order thickness effects may be of significance.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1949
Accession Number
ADA380463

Entities

People

  • Charles E. Watkins

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Air Force
  • Aspect Ratio
  • Boundary Value Problems
  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Distribution Functions
  • Equations
  • Equations Of Motion
  • Flow
  • Frequency
  • Leading Edges
  • Mach Number
  • Supersonic Flow
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Control Systems Engineering.

Technology Areas

  • Hypersonics