Accession Number : ADA304076

Title :   Analysis of the Hessian for Aeroelastic Optimization.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Arian, Eyal

PDF Url : ADA304076

Report Date : DEC 1995

Pagination or Media Count : 23

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)

Descriptors :   *AEROELASTICITY, *AERODYNAMICS, FOURIER TRANSFORMATION, OPTIMIZATION, MATRICES(MATHEMATICS), STRUCTURAL ANALYSIS, COSTS, ISOTROPISM, SUBSONIC FLOW, SUPERSONIC FLOW, DESIGN CRITERIA.

Subject Categories : Aerodynamics
      Fluid Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE