Optimal control of longitudinal vibrations of composite rods with the same wave propagation time in each part

Optimal control of longitudinal vibrations of composite rods with the same wave propagation time in each part

We consider longitudinal elastic vibrations of a composite rod and find closedform expressions that describe optimal boundary controls bringing the rod from the quiescent state into a state with given displacement function φ ( t ) and velocity function ψ ( t ) in time T . We assume that the wave pro...

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Veröffentlicht in:Differential equations 2013-05, Vol.49 (5), p.607-616
1. Verfasser: Rogozhnikov, A. M.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boundary control
Difference and Functional Equations
Differential equations
Displacement
Mathematical analysis
Mathematics
Mathematics and Statistics
Optimal control
Optimization
Ordinary Differential Equations
Partial Differential Equations
Propagation
Rods
Studies
Vibration
Wave propagation
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Beschreibung
Zusammenfassung:We consider longitudinal elastic vibrations of a composite rod and find closedform expressions that describe optimal boundary controls bringing the rod from the quiescent state into a state with given displacement function φ ( t ) and velocity function ψ ( t ) in time T . We assume that the wave propagation time through each part of the rod is the same and T is a multiple of that time.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266113050091