
<ns0:uwmetadata xmlns:ns0="http://phaidra.univie.ac.at/XML/metadata/V1.0" xmlns:ns1="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0" xmlns:ns10="http://phaidra.univie.ac.at/XML/metadata/provenience/V1.0" xmlns:ns11="http://phaidra.univie.ac.at/XML/metadata/provenience/V1.0/entity" xmlns:ns12="http://phaidra.univie.ac.at/XML/metadata/digitalbook/V1.0" xmlns:ns13="http://phaidra.univie.ac.at/XML/metadata/etheses/V1.0" xmlns:ns2="http://phaidra.univie.ac.at/XML/metadata/extended/V1.0" xmlns:ns3="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/entity" xmlns:ns4="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/requirement" xmlns:ns5="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/educational" xmlns:ns6="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/annotation" xmlns:ns7="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/classification" xmlns:ns8="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/organization" xmlns:ns9="http://phaidra.univie.ac.at/XML/metadata/histkult/V1.0">
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    <ns1:title language="en">On the Generalized Clausen Problem</ns1:title>
    <ns1:language>en</ns1:language>
    <ns1:description language="en">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.
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        <ns3:firstname>Enes </ns3:firstname>
        <ns3:lastname>Kačapor</ns3:lastname>
        <ns3:institution>Državni univerzitet u Novom Pazaru</ns3:institution>
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    <ns12:name_magazine language="en">Kongres mladih matematičara u Novom Sadu 2022</ns12:name_magazine>
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