Numerical solution of the optimal boundary control of transverse vibrations of a beam

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1098-2426(199909)15:5<558::AID-NUM3>3.0.CO;2-A" /><558::AID-NUM3>3.0.CO;2-A 10.1002/(SICI)1098-2426(199909)15:5<558::AID-NUM3>3.0.CO;2-AzbMath0961.74042OpenAlexW2007019626MaRDI QIDQ4702113

A. Bazezew, James M. Sloss, John C. jun. Bruch

Publication date: 17 May 2001

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199909)15:5<558::aid-num3>3.0.co;2-a

zbMATH Keywords

maximum principlefinite element methodPareto optimalitycantilever beamoptimal boundary controloptimal control functiondamped transverse vibrations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• Unnamed Item
• Boundary control of free and forced oscillation of shearable thin-walled beam cantilevers
• Maximum principle for the optimal control of a hyperbolic equation in one space dimension. II: Application
• Maximum principle for the optimal control of a hyperbolic equation in one space dimension. I: Theory
• A survey of optimal control of distributed-parameter systems
• Some Problems in the Control of Distributed Systems, and Their Numerical Solution
• A Maximum Principle for Nonconservative Self-Adjoint Systems
• Variational method for the distributed control of a vibrating beam
• Some Sufficiency Conditions for Pareto-Optimal Control
• Optimal Boundary Control of the Longitudinal Vibrations of a Rod Using a Maximum Principle

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