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Faculty of Civil Engineering


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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
 
DOI: 10.14415/konferencijaGFS 2016.033
UDC: 539.31
CC-BY-SA 4.0 license
Author : Novakovic, Branislava N.
 
 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.
 
 Keywords:
 stability, elastic foundation, optimal shape, post-critical behavior