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		<identifier>oai:zbc.uz.zgora.pl:98876</identifier>
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<dc:title xml:lang="pl"><![CDATA[Shape optimization of compressed rods considering material and geometric uncertainty: an analytical - stochastic approach]]></dc:title>
<dc:creator><![CDATA[Sadowski, Mirosław]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[stochastic analysis]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Rayleigh quotient]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[material and geometric uncertainty]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[shape optimization]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Gaussian profile]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Reliability Index]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Wolfram Mathematica]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[buckling]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[The article presents a stochastic approach to the shape optimization of compressed rods, taking into account random deviations of Young`s modulus and the second moment of area. The parameters are described as stationary random fields with a specified correlation length, and their influence on the critical buckling load is determined using a first-order perturbation expansion. The obtained expressions for the expected value and variance of the critical load made it possible to assess the sensitivity of the structure to local stiffness disturbances.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[Subsequently, a probabilistic optimization problem was formulated within a family of Gaussian-type profiles, with the aim of minimizing mass while maintaining the required level of reliability. Numerical analysis shows that accounting for uncertainties makes it possible to obtain a rod approximately 12 % lighter than the reference rod, without reducing load-carrying capacity. The presented approach demonstrates that modeling]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Jurczak, Paweł - red.]]></dc:contributor>
<dc:date><![CDATA[2026]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
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<dc:identifier><![CDATA[http://zbc.uz.zgora.pl/repozytorium/Content/98876/Volume31_Issue3_paper_08.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/115128/edition/98876/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:98876]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[IJAME, volume 31, number 3 (2026)]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:115128]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[CC 4.0]]></dc:rights>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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