Deformation modes and dual stress resultants of spatial beam elements in large deflection multibody system analyses

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Abstract

A beam finite element formulation for large deflection problems in the analysis of flexible multibody systems has been proposed. In this formulation, a set of independent deformation modes are defined for each element that do not change if the element is subjected to rigid body motions. The paper examines the applicability of this deformation mode formulation for a shear-deformable three-dimensional Timoshenkolike beam model. In particular, the influence of the second-order terms in the expressions for the deformation modes on the results is shown. Some numerical examples including large deflections are presented and discussed in order to illustrate their effect on the accuracy and rate of convergence. Comparisons are made with analytical solutions of the large deflection of a cantilever beam and with numerical results obtained with the absolute nodal coordinate and geometrically exact beam formulations of a 45 degree cantilever bend. Finally, the vibration mode frequencies and buckling loads of a simple parallel leaf spring guidance subject to misalignment are analysed.
Original languageEnglish
Title of host publicationProceedings of the 2nd Joint International Conference on Multibody System Dynamics 2012
EditorsP. Eberhard, P. Ziegler
Place of PublicationStuttgart, Germany
PublisherITM University of Stuttgart
Number of pages10
ISBN (Print)978-3-927618-32-9
Publication statusPublished - 29 May 2012
Event2nd Joint International Conference on Multibody System Dynamics, IMSD 2012 - Stuttgart, Germany
Duration: 29 May 20121 Jun 2012
Conference number: 2

Conference

Conference2nd Joint International Conference on Multibody System Dynamics, IMSD 2012
Abbreviated title IMSD
Country/TerritoryGermany
CityStuttgart
Period29/05/121/06/12

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