An efficient time-domain finite element model reduction method for nonlinear systems
Marcelo Henrique Belonsi1; Thales Trevilato2; Antonio Marcos Gonçalves de Lima2; Noureddine Bouhaddi3
1 Universidade Estadual de Goias; 2 Universidade Federal de Uberlandia; 3 FEMTO-ST Institute, Chaléat Applied Mechanics Laboratory, Univeristy of Franche-Comté
doi:10.20906/CPS/COB-2015-2583
Resumo
More recently a number of works have demonstrated that the mathematic models can represent with a reasonable accuracy the dynamic behavior of mechanical structures incorporating non-linearities in the time-domain. However, there is a great interest in the search for more efficient numerical procedures to solve the resulted equations of motion of non-linear systems composed by many thousands of degrees of freedom requires. Such difficulties motivate the study reported herein in which a strategy of reanalysis called Combined Approximation Method (CA) is employed in order to reduce the non-linear equations of motion of the system and its computational cost. After the discussion of the theoretical foundations, the full and reduced dynamic responses of a plate incorporating geometrical non-linearities are presented and the main aspects of the proposed methodology are highlighted.
Palavras-chave: geometrical non-linearities; plates; Combined Approximation Method