Development of Stability Methods for Application to Nonlinear Aeroelastic Optimization.

Abstract

An approximate procedure is developed which determines efficiently and accurately the amplitude-dependent stability of nonlinear systems. This new procedure, which is referred to as the 'method of imposed disturbances', is shown to be especially applicable to studies of the sensitivity of nonlinear aeroelastic systems to changes in design variables. Emphasis is placed on airfoil and panel flutter instabilities in aerodynamically nonlinear flow. To develop the theory, a modified form of the van der Pol oscillator equation and of the Lewis servomechanism equation are studied. Based on the principle of conservation of energy in a limit cycle, approximate closed-form expressions are developed which relate the loading and the limit amplitude to system design variables. Results are compared to solutions obtained by numerical integration.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA077851

Entities

People

  • R. F. Taylor

Organizations

  • University of Dayton

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aeroelasticity
  • Aircrafts
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Difference Equations
  • Differential Equations
  • Dynamic Loads
  • Equations Of Motion
  • Fluid Dynamics
  • Geometry
  • Hydrodynamics
  • Mach Number
  • Mathematical Programming
  • Mechanics
  • Pressure Distribution
  • Sandwich Panels

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Control Systems Engineering.
  • Operations Research