RT Journal Article ID 300edceb4286e586 A1 Chesnais, Celine A1 Hans, S. A1 Boutin, Claude T1 DYNAMICS OF RETICULATED STRUCTURES: EVIDENCE OF ATYPICAL GYRATION MODES JF International Journal for Multiscale Computational Engineering JO JMC YR 2011 FD 2011-11-11 VO 9 IS 5 SP 515 OP 528 K1 reticulated structures K1 homogenization K1 structural dynamics K1 micromorphic media K1 gyration modes K1 generalized beam AB This paper deals with the dynamic behavior of periodic reticulated beams made of symmetric unbraced framed cells. Such archetypical cells can present a high contrast between shear and compression deformabilities that opens the possibility of enriched local kinematics. Through the homogenization method of periodic discrete media associated with a systematic use of scaling, the existence of atypical gyration modes is established theoretically. These latter modes appear when the elastic moment is balanced by the rotation inertia, conversely to "natural" modes where the elastic force is balanced by the translation inertia. A generalized beam modeling including both "natural" and gyration modes is proposed and discussed through a dimensional analysis. The results are confirmed on numerical examples. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,59ed44ee44c0572b,300edceb4286e586.html