Structural Dynamics and Generalized Continua. In : Mechanics of Generalized Continua

Céline Chesnais (1) , Claude Boutin (2) , Stéphane Hans (2)

1 IFSTTAR/GER - Département Géotechnique, Eau et Risques
2 DGCB - Département génie civil et batiment (ENTPE)

This paper deals with the dynamic behavior of reticulated beams made of the periodic repetition of symmetric unbraced frames. Such archetypical cells can present a high contrast between shear and compression deformabilities, conversely to massive media. This opens the possibility of enriched local kinematics involvingphenomena of global rotation, inner deformation or inner resonance, accordingto studied configuration and frequency range. Firstly, the existence of these atypical behaviors is established theoretically through the homogenization method of periodic discrete media. Then, the results are adapted to buildings and confirmed with a numerical example.

Mots clés: DYNAMIQUE DES STRUCTURES; HOMOGENEISATION; MICROSTRUCTURE; POUTRE; RESONANCE; MILIEU CONTINU

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Céline Chesnais, Claude Boutin, Stéphane Hans. Structural Dynamics and Generalized Continua. In : Mechanics of Generalized Continua. Structural Dynamics and Generalized Continua. In : Mechanics of Generalized Continua, SPRINGER, pp. 57-76, 2011, Advanced Structured Materials, ⟨10.1007/978-3-642-19219-7_3⟩. ⟨hal-00877882⟩