25th Structures, Structural Dynamics and Materials Conference · 1984 · 28 citations · 12 references
EngineeringMechanical EngineeringDesign OptimizationOptimizationStructural EngineeringOptimal ControlReduced-order ModelingStructural DesignStructural MechanicsStructural OptimizationStructural SystemsControl SensitivityCost Sensitivity AnalysisFlexible Space DesignGradient Method OptimizationMass MinimizationQuadratic Cost Functions
A new approach is proposed for solving dual structural-control optimization problems for high-order flexible space structures where reduced-order structural models are employed. For a given initial structural dessign, a quadratic control cost is minimized subject to a constant-mass constraint. The sensitivity of the optimal control cost with respect to the stuctural design variables is then determined and used to obtain successive structural redesigns using a contrained gradient optimization algorithm. This process is repeated until the constrained control cost sensitivity becomes negligible. A numerical example is presented which demonstrates that this new approach effectively addresses the problem of dual optimization for potentially very high-order structures.
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Rates of change of eigenvalues and eigenvectors.
R. L. Fox, M. P. Kapoor · AIAA Journal · 1968 · 1.1K citations
Simplified calculation of eigenvector derivatives
Richard B. Nelson · AIAA Journal · 1976 · 905 citations
Natural Sciences, Systems Engineering, Computational Mechanics +14