Analysis of the Hessian for Aeroelastic Optimization.

Abstract

The symbol of the Hessian for an aeroelastic optimization model problem is analyzed. The flow is modeled by the small-disturbance full potential equation and the structure is modeled by an isotropic (von Karman) plate equation. The-cost function consists of both aerodynamic and structural terms. In the new analysis the symbol of the cost function Hessian near the minimum is computed. The result indicates that under some conditions, which are likely fulfilled in most applications, the system is decoupled for the non-smooth components. The result also shows that the structure part in the Hessian is well-conditioned while the aerodynamic part is ill-conditioned. Applications of the result to optimization strategies are discussed. (MM)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1995
Accession Number
ADA304076

Entities

People

  • Eyal Arian

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Computational Complexity
  • Computational Fluid Dynamics
  • Computational Science
  • Curvature
  • Equations
  • Equations Of State
  • Flow
  • Fluid Dynamics
  • Frequency
  • Geometry
  • Mechanics
  • Modulus Of Elasticity
  • Optimization
  • Pressure Distribution
  • Two Dimensional

Readers

  • Fluid Dynamics.
  • Operations Research
  • Structural Dynamics.