Abstract
International Journal of Computational Engineering ScienceVol. 02, No. 02, pp. 309-338 (2001) No AccessMIXED FINITE ELEMENT MODELING FOR THE DYNAMICS OF BEAM ASSEMBLAGES UNDERGOING LARGE OVERALL MOTIONS IN SPACEA. S. GENDY and A. F. SALEEBA. S. GENDYStructural Engineering Department, Faculty of Engineering, Cairo University, Giza, Egypt Search for more papers by this author and A. F. SALEEBCivil Engineering Department, The University of Akron, Akron, OH 44325, USA Search for more papers by this author https://doi.org/10.1142/S1465876301000349Cited by:1 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractThe fully nonlinear dynamic analysis of space frames constitutes a very challenging class of finite element applications. To date, experiences with such solutions have been limited mostly to the conventional displacement-based approaches, and it is the main objective here to report on the use of the alternative mixed scheme in such general dynamical treatments; i.e., for beam assemblages undergoing large overall motions in space and subjected to both conservative and non-conservative forces. In this, such factors as (i) effect of large spatial rotations on the geometric stiffness and inertia operators; (ii) the need for the accurate updating procedures for nodal rotations, and associated angular velocities/accelerations; (iii) material in-elasticity; and (iv) load correction matrices for configuration-dependent conservative and non-conservative forces/moments become important. To this end, and restricting the scope to the case of large overall motions but small strains, we utilize the simplest of low-order displacement/strain interpolations, for the hybrid-mixed form, together with a radial return algorithm (backward-Euler-intergration scheme) for plasticity effects. The semi-discrete equations of motion have been integrated with the Newmark implicit scheme. A comprehensive set of elastic as well as elasto-plastic problems, under both conservative and non-conservative loading, has been solved to demonstrate the effectiveness and practical utility of the formulation described. FiguresReferencesRelatedDetailsCited By 1Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendumJaroslav Mackerle1 Aug 2002 | Engineering Computations, Vol. 19, No. 5 Recommended Vol. 02, No. 02 Metrics History PDF download
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