
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 smalldisturbance full potential equation and the structure is modeled by an isotropic (von Karman) plate equation. Thecost 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 nonsmooth components. The result also shows that the structure part in the Hessian is wellconditioned while the aerodynamic part is illconditioned. 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