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The Tapered Column Shape Optimisation in a Plane Perpendicular to the Buckling Plane Subjected to a Load by the Follower Force Directed to the Positive Pole

Szmidla J., Jurczyńska A.

Machine Dynamics Research

2015

Vol. 39, No. 2

33-44

The results of theoretical and numerical research on shape optimisation of cantilever column subjected to a load by the follower force directed towards the positive pole are presented in this paper. Deflection line and cross section area equations of considered column and appropriate boundary problem were derived on the basis of static criterion of stability assuming constant volume of the rod. Having regard to the column’s taper in the plane perpendicular to the buckling plane, an extra conditions due to allowable stresses of structure were taken into account. Optimal shape and the critical load value of system meeting the compressive stressrequirement were determined at various values of radius of loading head.