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Dynamic stability of the periodic and aperiodic structures of the Bernoulli-Euler beams

dc.contributor.authorGarus, Justyna
dc.contributor.authorPetrů, Jana
dc.contributor.authorSochacki, Wojciech
dc.contributor.authorGarus, Sebastian
dc.date.accessioned2025-01-22T10:38:02Z
dc.date.available2025-01-22T10:38:02Z
dc.date.issued2024
dc.identifier.citationArchives of Metallurgy and Materials. 2024, vol. 69, issue 1, p. 275-279.cs
dc.identifier.issn1733-3490
dc.identifier.issn2300-1909
dc.identifier.urihttp://hdl.handle.net/10084/155700
dc.description.abstractThe study analyzed the influence of periodic and aperiodic stiffness distribution for the four-element Bernoulli-Euler beam on the first two eigenfrequencies and the dynamic stability of the system. The influence of increasing the ratio of cross-sections of the analyzed elements was also analyzed. significant differences were found in eigenfrequencies and dynamic stability. using the variational hamilton principle, the equation of motion was derived, on the basis of which the values of the eigenfrequencies were determined, and the transformation into the form of the Mathieu equation made it possible to determine the dynamic stability for the analyzed structures.cs
dc.language.isoencs
dc.publisherPolska Akademia Nauk, Instytut Metalurgii i Inżynierii Materiałowejcs
dc.relation.ispartofseriesArchives of Metallurgy and Materialscs
dc.relation.urihttps://doi.org/10.24425/amm.2024.147819cs
dc.rights© 2024. The author(s). This is an open-access article distributed under the terms of the creative commons attribution-noncom mercial license which permits the use, redistribution of the material in any medium or format, transforming and building upon the material, provided that the article is properly cited, the use is noncommercial, and no modifications or adaptations are made.cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/deed.encs
dc.subjectbeamcs
dc.subjectdynamic stabilitycs
dc.subjectMathieu equationcs
dc.subjectaperiodic structurecs
dc.titleDynamic stability of the periodic and aperiodic structures of the Bernoulli-Euler beamscs
dc.typearticlecs
dc.identifier.doi10.24425/amm.2024.147819
dc.rights.accessopenAccesscs
dc.type.versionpublishedVersioncs
dc.type.statusPeer-reviewedcs
dc.description.sourceWeb of Sciencecs
dc.description.volume69cs
dc.description.issue1cs
dc.description.lastpage279cs
dc.description.firstpage275cs
dc.identifier.wos001220480900020


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© 2024. The author(s). This is an open-access article distributed under the terms of the creative commons attribution-noncom mercial license which permits the use, redistribution of the material in any medium or format, transforming and building upon the material, provided that the article is properly cited, the use is noncommercial, and no modifications or adaptations are made.
Except where otherwise noted, this item's license is described as © 2024. The author(s). This is an open-access article distributed under the terms of the creative commons attribution-noncom mercial license which permits the use, redistribution of the material in any medium or format, transforming and building upon the material, provided that the article is properly cited, the use is noncommercial, and no modifications or adaptations are made.