On controlled rotation of an elastic rod

DOI10.1016/0021-8928(82)90031-4zbMath0539.73105OpenAlexW2088511796MaRDI QIDQ794497

L. D. Akulenko, Nikolai N. Bolotnik

Publication date: 1983

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90031-4

zbMATH Keywords

elastic rodAsymptotic methodsinitial and boundary conditionstwo limiting casessystem of integrodifferential equationscontrolling moment of forceshigh flexural rigidityloaded by a perfectly rigid bodyPlane rotational motionsweightless rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Optimization problems in solid mechanics (74P99)

Related Items (6)

Control of an elastic manipulator arm using load position and velocity feedback ⋮ Modeling of controlled motions of an elastic rod by the method of integro-differential relations ⋮ The optimization of the motion of an elastic rod by the method of integro-differential relations ⋮ The construction of optimal control for the motion of elastic bodies by using the method of integro-differential relations ⋮ The control of an elastic manipulator taking into account the useful load and the force of gravity ⋮ On the controlled rotation of a system of two rigid bodies with elastic elements

Cites Work

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• On the control of systems with elastic elements
• Analysis of Massless Elastic Chains With Servo Controlled Joints
• Certain Estimates for Solutions of Nonlinear Elliptic Differential Equations Applicable to the Theory of Thin Plates

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