Generalized Beams and Continua. Dynamics of Reticulated Structures

Claude Boutin (1) , Stéphane Hans (1) , Céline Chesnais (1)

1 DGCB-LGM - Laboratoire Géomatériaux

This paper deals with the dynamic behavior of periodic reticulated beams and materials. Through the homogenization method of periodic discrete media the macro-behavior is derived at the leading order. With a systematic use of scaling, the analysis is performed on the archetypical case of symmetric unbraced framed cells. Such cells can present a high contrast between shear and compression deformability, conversely to "massive" media. This opens the possibility of enriched local kinematics involving phenomena of global rotation, inner deformation or inner resonance, according to studied configuration and frequency range.

Domaines: Mécanique [physics.med-ph]

Claude Boutin, Stéphane Hans, Céline Chesnais. Generalized Beams and Continua. Dynamics of Reticulated Structures. Mechanics of Generalized Continua, Springer New York, pp.131-141, 2010, Advances in Mechanics and Mathematics Volume 21. ⟨hal-00941153⟩