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Closed-form solution for the free axial-bending vibration problem of structures composed of rigid bodies and elastic beam segments
dc.creator | Tomović, Aleksandar | |
dc.creator | Šalinić, Slaviša | |
dc.creator | Obradović, Aleksandar | |
dc.creator | Grbović, Aleksandar | |
dc.creator | Milovančević, Milorad | |
dc.date.accessioned | 2023-02-11T17:59:50Z | |
dc.date.available | 2021-11-06 | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0307-904X | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/4326 | |
dc.description.abstract | In this paper, the coupled axial-bending vibration of planar serial frame structures composed of rigid bodies and Euler-Bernoulli beam segments is considered. The corresponding mode orthogonality conditions for this kind of structures are derived. It is assumed that the mass centers of rigid bodies have both the transverse and the axial eccentricity with respect to beam neutral axes and that the mass centers are located in the plane in which the rigid bodies perform planar motion. The system responses to initial excitation in the case of distinct as well as repeated natural frequencies are considered. Theoretical considerations are accompanied by four numerical examples. | en |
dc.publisher | Elsevier Science Inc, New York | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/35006/RS// | |
dc.relation.isversionof | https://doi.org/10.1016/j.apm.2019.09.008 | |
dc.relation.isversionof | https://machinery.mas.bg.ac.rs/handle/123456789/3269 | |
dc.rights | embargoedAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Applied Mathematical Modelling | |
dc.subject | Planar frames | en |
dc.subject | Mode orthogonality condition | en |
dc.subject | Initial excitation | en |
dc.subject | Crossing phenomenon | en |
dc.subject | Axial-bending vibration | en |
dc.title | Closed-form solution for the free axial-bending vibration problem of structures composed of rigid bodies and elastic beam segments | en |
dc.type | article | |
dc.rights.license | BY-NC-ND | |
dc.citation.epage | 1167 | |
dc.citation.other | 77: 1148-1167 | |
dc.citation.rank | aM21 | |
dc.citation.spage | 1148 | |
dc.citation.volume | 77 | |
dc.description.other | This is the peer reviewed version of the article: Tomović, A.; Šalinić, S.; Obradović, A.; Grbović, A.; Milovančević, M. Closed-Form Solution for the Free Axial-Bending Vibration Problem of Structures Composed of Rigid Bodies and Elastic Beam Segments. Applied Mathematical Modelling 2020, 77, 1148–1167.[https://doi.org/10.1016/j.apm.2019.09.008] | |
dc.identifier.doi | 10.1016/j.apm.2019.09.008 | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/10289/Closedform.pdf | |
dc.identifier.scopus | 2-s2.0-85074387831 | |
dc.identifier.wos | 000503323500011 | |
dc.type.version | acceptedVersion |