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Dynamics of flexible beams: Finite-element formulation based on interpolation of strain measuresČešarek, Peter ; Saje, Miran ; Zupan, Dejan, mehanikThis paper presents a new finite-element formulation for the dynamic analysis of three-dimensional beams. The formulation is based on the geometrically exact three-dimensional beam theory in which ... the strain vectors are the only unknown functions of the arc-length parameter. The classical Newmark time integration scheme extended to the multiplicative group of spatial rotations is used and properly adapted for the strain-based formulation. The Generalized-ŽŽ method is used to enforce a numerical dissipation of higher modes. The update procedure needed in the iteration process is discussed in detail. The exact linearization of the governing equations is also presented. The performance of the formulation is demonstrated with numerical examples.Source: Finite elements in analysis and design. - ISSN 0168-874X (Letn. 72, sept. 2013, str. 47-63)Type of material - article, component part ; adult, seriousPublish date - 2013Language - englishCOBISS.SI-ID - 6252129
Author
Češarek, Peter |
Saje, Miran |
Zupan, Dejan, mehanik
Topics
deformacije |
nelinearna teorija nosilcev |
dinamična analiza |
prostorski nosilci |
prostorske rotacije |
finite strain |
non-linear beam theory |
dynamics a |
finite element method |
three-dimensional beams |
three-dimensional rotations
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Češarek, Peter | 30809 |
Saje, Miran | 02189 |
Zupan, Dejan, mehanik | 19121 |
Source: Personal bibliographies
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