CONFERENCE PROCEEDINGS
4th INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2016 , 2016.y., pp. 331-340
ON THE POST-CRITICAL BEHAVIOUR OF AN OPTIMALLY SHAPED ELASTIC COLUMN| |
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| DOI: 10.14415/konferencijaGFS 2016.033 |
| UDC: 539.31 |
| CC-BY-SA 4.0 license |
| Author : Novakovic, Branislava N. |
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| | Summary: |
| | By using Pontryagin's maximum principle we determine the optimal shape of
an elastic column. The column is loaded by a compressive force and positioned on
elastic foundation of Winkler type. We assume that column is clamped on one end and
elastically supported on the other. The optimality conditions for the case of bimodal
optimization are derived. For moderate value of foundation rigidity and support
constant we obtained different post-buckling modes. |
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| | Keywords: |
| | stability, elastic foundation, optimal shape, post-critical behavior |
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