The lumped model parameters approach for static and dynamic power-law beam problems

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dc.contributor.authorBegzhigitov, Madi
dc.contributor.editorSkrzypacz, Piotr
dc.contributor.otherTourassis, Vassilios D.
dc.date.accessioned2019-08-29T04:51:45Z
dc.date.available2019-08-29T04:51:45Z
dc.date.issued2019-04-29
dc.descriptionSubmitted to the Department of Mathematics on Apr 29, 2019, in partial fulfillment of the requirements for the degree of Master of Science in Applied Mathematicsen_US
dc.description.abstractIt is important to estimate the natural frequencies of the structural elements in the design of mechanical or electromechanical structures. There is a wide use of single lumped-parameter spring-mass models in the industry for materials . Their behaviour is linear by Hooke’s law within the geometric and loading conditions. In this work, the lumped-parameter theory is generalized for Hollomon’s power-law materials and the lumped-parameters for the corresponding nonlinear restoring force in the spring-like model for the standard geometric and loading conditions of the power-law Euler beams are provided. For each case in the given lumped-parameter model the corresponding effective mass is also calculated. Then, the resulting spring-mass system is solved to validate the solutions as approximations to the corresponding beam system. Numerical validations of the proposed lumped models for the cantilever beam with circular and rectangular cross-sections are presented.en_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/4192
dc.language.isoenen_US
dc.publisherNazarbayev University School of Science and Technologyen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectResearch Subject Categories::MATHEMATICS::Applied mathematicsen_US
dc.subjectlumped modelen_US
dc.subjectsingle lumped-parameter spring-mass modelen_US
dc.subjectHooke’s lawen_US
dc.subjectpower-law Euler beamsen_US
dc.subjectlumped-parameter modelen_US
dc.subjectbeam systemen_US
dc.titleThe lumped model parameters approach for static and dynamic power-law beam problemsen_US
dc.typeMaster's thesisen_US
workflow.import.sourcescience

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