International Journal for Numerical Methods in Engineering · 1975 · 30 citations · 21 references
Natural SciencesMathematicsComputational Structural AnalysisDesign OptimizationOptimizationLoading ConditionsOptimal ControlOptimization-based DesignParametric OptimizationStructural OptimizationPanel Flutter
Abstract A gradient projection optimal control algorithm incorporating conjugate gradient directions of search is described and applied to several minimum weight panel design problems subject to a flutter speed constraint. New numerical solutions are obtained for both simply‐supported and clamped homogeneous panels of infinite span for various levels of inplane loading and minimum thickness. The minimum thickness inequality constraint is enforced by a simple transformation of variables.
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Function minimization by conjugate gradients
R. Fletcher · The Computer Journal · 1964 · 4.9K citations · Full text
Numerical Methods for Unconstrained Optimization
Walter Murray · Mathematics of Computation · 1975 · 578 citations