Finite Element Method in Transient Aeroelastic Problem.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH
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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
- Fluid Mechanics