Finite Element Method in Transient Aeroelastic Problem.

Abstract

This dissertation presents the development of a finite element method of analysis of interaction problems between an elastic structure and a moving fluid. The fundamental principles of the method have been formulated for the case of finite non-isothermal deformations of the structure and unsteady flow of a compressible, viscous, heat-conducting fluid. Details of the method and numerical examples have been worked out for the simpler, and yet practically important conditions of isothermal deformations of the structure and compressible, inviscid, isotropic flow of the fluid. The finite element formulation of the method represents a numerical solution of the variational equations of the problem. The necessary variational principles have been derived for the fluid, for the structure, and for the joint fluid-structure system. Since the governing equations of the fluid do not form a potential operator, the corresponding variations functional has been constructed in terms of the actual and adjoint variables. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA106286

Entities

People

  • Hugh Clark Briggs

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Euler Equations
  • Finite Element Analysis
  • Flow
  • Fluid Dynamics
  • Gas Dynamics
  • Gas Flow
  • Gas Laws
  • Incompressible Flow
  • Mechanics
  • Physical Properties
  • Transient Response Analysis
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.