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Extending the Applicability of the Floating Frame Formulation in Global Coordinates : The Generalised Superelement Formulation and the Nonlinear Floating Frame Formulation

Wevers, Merel (2024) Extending the Applicability of the Floating Frame Formulation in Global Coordinates : The Generalised Superelement Formulation and the Nonlinear Floating Frame Formulation.

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Abstract:The superelement floating frame formulation models the motion of a flexible body by making a distinction between overall rigid-body motion and local deformations and expresses the equations of motion in terms of the global nodal degrees of freedom of the interface points. Limitations of this formulation are that it requires the use of a reduction basis that only contains boundary modes and it can only be applied to problems in which the local deformations remain small. Two generalisations are therefore proposed. The generalised superelement formulation allows for the use of an arbitrary reduction basis that is able to (1) describe rigid-body motion and (2) describe the local nodal degrees of freedom of the interface points independently. It expresses the governing equations in terms of the global nodal degrees of freedom of the interface points as well as a set of internal flexible coordinates. The nonlinear floating frame formulation models the local flexible behaviour of a body or element using a geometrically nonlinear model to allow for arbitrarily large local deformations. It expresses the governing equations in terms of all global nodal degrees of freedom and can be considered an alternative to the total and updated Lagrangian nonlinear finite element formulations.
Item Type:Essay (Master)
Faculty:ET: Engineering Technology
Subject:52 mechanical engineering
Programme:Mechanical Engineering MSc (60439)
Link to this item:https://purl.utwente.nl/essays/98796
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