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Three-Dimensional Rotordynamic Finite-Element Formulations

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Lantto, Erkki
dc.date.accessioned 2020-09-29T09:00:08Z
dc.date.available 2020-09-29T09:00:08Z
dc.date.issued 2020
dc.identifier.isbn 978-952-64-0034-1 (electronic)
dc.identifier.isbn 978-952-64-0033-4 (printed)
dc.identifier.issn 1799-490X (electronic)
dc.identifier.issn 1799-4896 (printed)
dc.identifier.issn 1799-4896 (ISSN-L)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/46754
dc.description.abstract Work presents detailed derivations of various three-dimensional rotordynamic formulations. The equation of motion is derived by two approaches; using Lagrange's equation and using Galerkin's method. It is shown that these approaches give the same equation of motion. Thorough treatment of the relevant kinematics is presented. Nonlinear strain and stress measures are adopted to create formulation, which is valid for large displacements and material rotations, but for small strain levels. Therefore, the resulting equation of motion is nonlinear. This nonlinear equation of motion is linearized yielding a model, which is valid for large equilibrium displacements and small deviations around the equilibrium. In addition, a linearized model, which assumes constant equilibrium displacements, is presented. After the form of the energy expressions and equation of motion are obtained in a generic case, the work presents the implementation details associated with solid element model, cyclic symmetric model and axisymmetric model and how different types of submodels can be combined. In addition, publication presents modal reduction utilizing the symmetry properties present in the axisymmetric model, cyclic model and combined model consisting of axisymmetric and cyclic sub-models. Work contains four simple example cases, which present comparisons to literature and explorethe model validity ranges of different approaches. en
dc.format.extent 200
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher Aalto University en
dc.publisher Aalto-yliopisto fi
dc.relation.ispartofseries Aalto University publication series SCIENCE + TECHNOLOGY en
dc.relation.ispartofseries 5/2020
dc.subject.other Mechanical engineering en
dc.title Three-Dimensional Rotordynamic Finite-Element Formulations en
dc.type D4 Julkaistu kehittämis- tai tutkimusraportti tai -selvitys fi
dc.contributor.school Sähkötekniikan korkeakoulu fi
dc.contributor.school School of Electrical Engineering en
dc.contributor.department Sähkötekniikan ja automaation laitos fi
dc.contributor.department Department of Electrical Engineering and Automation en
dc.subject.keyword Rotordynamics en
dc.subject.keyword Finite elements en
dc.identifier.urn URN:ISBN:978-952-64-0034-1
dc.type.dcmitype text en
dc.contributor.lab Computational Electromechanics en
local.aalto.formfolder 2020_09_29_klo_11_35


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