000013324 001__ 13324
000013324 005__ 20161114160336.0
000013324 04107 $$aeng
000013324 046__ $$k2009-06-22
000013324 100__ $$aSchueller G., I.
000013324 24500 $$aModel reduction and uncertainties in structural dynamics

000013324 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013324 260__ $$bNational Technical University of Athens, 2009
000013324 506__ $$arestricted
000013324 520__ $$2eng$$aModel reduction procedures for the purpose of reducing computational efforts in structural analysis are already well developed and are widely used to compute the dynamic response of complex structural systems. For example the Guyan reduction might essentially reduce the size of the structural matrices, while component mode synthesis provides a means to consider first simpler substructures and to use its modal properties for deriving a reduced global structural model for computing the dynamic response. Moreover, component mode synthesis allows for an assembly of large finite element models consisting of substructures established by different working groups and hence has significant advantages in the design cycle. The above mentioned, frequently used finite element (FE) reduction procedures assume perfect, i.e. deterministic knowledge of all structural properties. However, the assumption of determinstically known structural properties is in most practical, real world cases, not realistic. Many items (e.g. stiffness, mass and damping parameters, etc.) incorpoated in the mathematical FE model of a structure are uncertain, i.e. are either not precisely known or might reveal unpredictable random behavior. This paper will give an overview of the well established deterministic reduction techniques and approaches for the efficient uncertainty propagation. Finally, the recent advances in the combination of these two fields are reviewed and two methodologies for the consideration of uncertainty when using model reduction schemes are presented. The model reduction schemes considering uncertainties, which usually involve some simplifiying assumptions, similar to their determistic counterparts, are compared with the reference solution as obtained by direct Monte Carlo simulation (MCS), where the deterministic FE reduction scheme is applied together with randomly generated structural properties.

000013324 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013324 653__ $$aComponent mode synthesis, model reduction, uncertainties, Monte Carlo simulation, random eigenvalue problem Abstract. Model reduction procedures for the purpose of reducing computational efforts in structural analysis are already well developed and are widely used to compute the dynamic response of complex structural systems. For example the Guyan reduction might essentially reduce the size of the structural matrices, while component mode synthesis provides a means to consider first simpler substructures and to use its modal properties for deriving a reduced global structural model for computing the dynamic response. Moreover, component mode synthesis allows for an assembly of large finite element models consisting of substructures established by different working groups and hence has significant advantages in the design cycle. The above mentioned, frequently used finite element (FE) reduction procedures assume perfect, i.e. deterministic knowledge of all structural properties. However, the assumption of determinstically known structural properties is in most practical, real world cases, not realistic. Many items (e.g. stiffness, mass and damping parameters, etc.) incorpoated in the mathematical FE model of a structure are uncertain, i.e. are either not precisely known or might reveal unpredictable random behavior. This paper will give an overview of the well established deterministic reduction techniques and approaches for the efficient uncertainty propagation. Finally, the recent advances in the combination of these two fields are reviewed and two methodologies for the consideration of uncertainty when using model reduction schemes are presented. The model reduction schemes considering uncertainties, which usually involve some simplifiying assumptions, similar to their determistic counterparts, are compared with the reference solution as obtained by direct Monte Carlo simulation (MCS), where the deterministic FE reduction scheme is applied together with randomly generated structural properties.

000013324 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013324 720__ $$aSchueller G., I.
000013324 8560_ $$ffischerc@itam.cas.cz
000013324 8564_ $$s555040$$uhttps://invenio.itam.cas.cz/record/13324/files/CD474.pdf$$yOriginal version of the author's contribution as presented on CD, section: Plenary lectures - i.
000013324 962__ $$r13074
000013324 980__ $$aPAPER