Control of the motion of a cylindrical body in a viscous medium for optimal energy consumption
type: Item
instance of: scholarly article
title: Control of the motion of a cylindrical body in a viscous medium for optimal energy consumption
zbMATH Open document ID: 0922.76146
DOI: 10.1016/0021-8928(95)00081-X
author: D. S. Zavalishchin
author: S. T. Zavalishchin
published in: Journal of Applied Mathematics and Mechanics
publication date: 1997-11-04T00:00:00Z
review text: Displacements of a cylindrical body in a viscous medium are considered, with a view to determining the optimal displacements, in the sense of minimum energy consumption, for a given time and distance. An Euler-Lagrange variational procedure is used to find the necessary optimum conditions, formulated as differential equations for local phases of the optimal motion of the cylinder. Using these equations, it can be shown that the problem has two extremal solutions. The first corresponds to motion of the cylinder at constant velocity, preserving its vertical orientation. The second involves an intermediate stage during which the cylinder is moving in a horizontal position.
Mathematics Subject Classification ID: 76D99
Mathematics Subject Classification ID: 76M30
zbMATH DE Number: 1077532
zbMATH Keywords: Euler-Lagrange variational procedure
zbMATH Keywords: necessary optimum conditions
zbMATH Keywords: two extremal solutions
MaRDI profile type: Publication
cites work: Q5559800
cites work: Q4387761
cites work: Q3992937
description: scientific article; zbMATH DE number 1077532