Optimal shape of a vertical rotating column

Optimal shape of a vertical rotating column

We determine the shape of the lightest rotating column that is stable against buckling, positioned in a constant gravity field, oriented along the column axis. In deriving the optimality conditions, the Pontryagin's principle was used. Optimal cross-sectional area is obtained from the solution...

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Veröffentlicht in:International journal of non-linear mechanics 2007, Vol.42 (1), p.172-179
Hauptverfasser: Jelicic, Z.D., Atanackovic, T.M.
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Sprache:eng
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Constant gravity field
Optimal shape
Rotating column
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Atanackovic, T.M.
description We determine the shape of the lightest rotating column that is stable against buckling, positioned in a constant gravity field, oriented along the column axis. In deriving the optimality conditions, the Pontryagin's principle was used. Optimal cross-sectional area is obtained from the solution of a non-linear boundary value problem. For this problem a variational principle and a first integral are formulated. Also a priori estimates of the cross-sectional area at the lower end are presented. The procedure is illustrated by three concrete examples. The problem treated here may be considered as a step in the dynamic optimization procedure of a heavy rotating column.
doi_str_mv 10.1016/j.ijnonlinmec.2006.10.020
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subjects Constant gravity field
Optimal shape
Rotating column
title Optimal shape of a vertical rotating column
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