Naslov (eng)

On the Generalized Clausen Problem

Autor

Kačapor, Enes

Opis (eng)

Abstract: We analyze the classical problem of nding the shape of the column that optimizes certain criteria. The new formulation proposed here may be stated as: given the critical buckling load F of the column and the length L, nd cross-sectional area A, such that the volume W of the column attains minimal value. This is a classical Clausen problem. However, in this work we shall use the generalized constitutive equations of the column that allows for shear deformation. We show that optimally shaped rod exhibits pitchfork super-critical bifurcation at critical buckling load.

Jezik

engleski

Datum

2022

Licenca

© All rights reserved

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