
The symbol of the Hessian for a static aeroelastic optimization model problem is analyzed for the optimization of a plate's shape and rigidity distribution with respect to a given cost function. The flow is modeled by the small-disturbance full-potential equation, and the structure is modeled by an isotropic (von Kármán) plate equation. The cost function consists of both aerodynamic and structural terms. Applications to optimization strategies are discussed and demonstrated numerically.
Variational methods applied to problems in fluid mechanics, static aeroelastic optimization problem, cost function, Hessian, Optimization problems in solid mechanics, von Kármán plate equation, General aerodynamics and subsonic flows, small-disturbance full-potential equation, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
Variational methods applied to problems in fluid mechanics, static aeroelastic optimization problem, cost function, Hessian, Optimization problems in solid mechanics, von Kármán plate equation, General aerodynamics and subsonic flows, small-disturbance full-potential equation, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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