Control of the dynamic response of a damped membrane by distributed forces

DOI10.1016/0022-460X(84)90365-1zbMath0557.73077OpenAlexW2009324445MaRDI QIDQ3221554

Ibrahim S. Sadek, Sarp Adali

Publication date: 1984

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(84)90365-1

zbMATH Keywords

maximum principleviscous dampingdisplacementcontrol problemmotionforcesformulationdistributedperformance indexmulti-objective controlinitialminimizedvelocity conditionsclamped along boundariesdamping out oscillations of rectangular membranedeflection and velocity of displacementsquadratic vector

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Membranes (74K15) Optimization problems in solid mechanics (74P99)

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Structural control to minimize the dynamic response of Mindlin-Timoshenko plates ⋮ Necessary and sufficient conditions for the optimal control of distributed parameter systems subject to integral constraints ⋮ Variational method for the distributed control of a vibrating beam ⋮ Distributed control of layered orthotropic plates with damping ⋮ Active control of flexible systems by a mathematical programming approach ⋮ Optimal scanning control of flexible structures in two-dimensional space ⋮ Optimal active pointwise control of thin plates via state-control parametrization ⋮ Optimal control of a Timoshenko beam by distributed forces ⋮ A Maximum Principle for Optimal Control Using Spatially Distributed Pointwise Controllers ⋮ Modelling techniques for optimal control of distributed parameter systems

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