<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="https://zbc.uz.zgora.pl/style/common/xsl/oai-style.xsl"?>
<OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" 
         xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
         xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/
         http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd">
	<responseDate>2026-07-31T21:40:51Z</responseDate>
	<request identifier="oai:zbc.uz.zgora.pl:97518" metadataPrefix="oai_dc" verb="GetRecord">
	https://zbc.uz.zgora.pl/oai-pmh-repository.xml</request>
	<GetRecord>
	
  <record>
	<header>
		<identifier>oai:zbc.uz.zgora.pl:97518</identifier>
	    <datestamp>2026-07-27T12:14:27Z</datestamp>
		  <setSpec>DigitalLibraryZielonaGora</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:Faculties</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:Faculties:FacultyCivilArchitectureEnvironmental</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:ListJurnals:CEER</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:TypesWork</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:TypesWork:Articles</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:ListJurnals</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:ListJurnals:CEER:CEER26</setSpec> 	    </header>
		<metadata>
	<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title xml:lang="pl"><![CDATA[Analytical Classification of Buckling Problems of Compressed Rods With Variable Bending Stiffness Using Special Functions]]></dc:title>
<dc:creator><![CDATA[Sadowski, Mirosław]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[elastic stability]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[variable bending stiffness]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[special functions]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Euler-Lagrange equation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Sturm-Li-ouville equation]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[The paper presents an analytical framework for the classification of buckling problems of compressed rods with variable bending stiffness. The governing Euler?Bernoulli stability equation with spatially varying coeffi-cients is transformed into a Sturm?Liouville form and further reduced to a Schrödinger-type equation using the Liouville transformation. This formulation establishes a direct correspondence between the bending stiffness distribution and the associated spectral problem, allowing a systematic mapping of stiffness profiles to classes of differential equations.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[Depending on the resulting Liouville potential, the eigenvalue problems can be ex-pressed in terms of classical special functions such as Airy, Bessel, Hermite, or error-function-based solutions. The proposed approach provides a unified classification of variable-stiffness buckling problems within a single operator framework and organizes known analytical results as special cases of a general spectral formulation. The study focuses on analytical structure and classification rather than on optimization procedures, and it does not assume or solve a shape optimization problem.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[tytuł dodatkowy: Prace z Inżynierii Lądowej i Środowiska]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego]]></dc:publisher>
<dc:contributor><![CDATA[Kuczyński, Tadeusz - red.]]></dc:contributor>
<dc:date><![CDATA[2026]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:format xml:lang="pl"><![CDATA[application/pdf]]></dc:format>
<dc:identifier><![CDATA[http://zbc.uz.zgora.pl/Content/97518/ceer_2026_2_8_sadowski_analytical.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/dlibra/publication/109230/edition/97518/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:97518]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[Civil and Environmental Engineering Reports (CEER), no 36, vol. 2]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:109230]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
<dc:rights xml:lang="pl"><![CDATA[CC 4.0]]></dc:rights>
</oai_dc:dc>

</metadata>
	  </record>	</GetRecord>
</OAI-PMH>
