Analysis of one-dimensional systems with spatially modulated parameters as dissemination of the concept of vibrational mechanics

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dc.contributor.author Sorokin, Vladislav en
dc.coverage.spatial St. Petersburg, Russia en
dc.date.accessioned 2017-08-01T02:29:23Z en
dc.date.issued 2012 en
dc.identifier.citation APM 2012 Advanced Problems in Mechanics, St. Petersburg, Russia, 02 Jul 2012 - 08 Jul 2012. Proceedings of Summer School-Conference “Advanced Problems in Mechanics 2012”. Institute of Problems of Mechanical Engineering. 345-349. 2012 en
dc.identifier.uri http://hdl.handle.net/2292/34654 en
dc.description.abstract The paper is devoted to the study of averaged processes, which take place in fast varying periodic structures. Particularly, oscillations of a string and bending oscillations of a beam with variable cross-sections are considered. The method of direct separation of motions and the concept of vibrational me- chanics [1,2] are used for the analysis of these systems. Thus, the applicability range of this method is broadened. The in uence of fast spatial modulations on the e ective values of systems parameters is revealed and described. Par- ticularly, it is obtained that the variability of beams cross-section, along with other e ects, leads to the emergence of the additional slow longitudinal force. It is noted that the order of equations, which describe the averaged processes in the examined periodic structures, under certain conditions may be di erent from the order of corresponding equations, which characterize systems in the absence of modulations. en
dc.description.uri http://www.ipme.ru/ipme/conf/APM2012/Proceedings-2012.htm en
dc.publisher Institute of Problems of Mechanical Engineering en
dc.relation.ispartof APM 2012 Advanced Problems in Mechanics en
dc.relation.ispartofseries Proceedings of Summer School-Conference “Advanced Problems in Mechanics 2012” en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title Analysis of one-dimensional systems with spatially modulated parameters as dissemination of the concept of vibrational mechanics en
dc.type Conference Item en
pubs.begin-page 345 en
dc.rights.holder Copyright: The author en
pubs.author-url http://www.ipme.ru/ipme/conf/APM2012/2012-PDF/2012-345.pdf en
pubs.end-page 349 en
pubs.finish-date 2012-07-08 en
pubs.start-date 2012-07-02 en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.subtype Proceedings en
pubs.elements-id 625418 en
pubs.org-id Faculty of Engineering en
pubs.org-id Mechanical Engineering en
pubs.record-created-at-source-date 2017-05-12 en


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