Asymptotic analysis of thin space structures
Doina Cioranescu, Jeannine Saint Jean Paulin · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994
We consider the linearized elasticity system for a class of periodic structures made by very thin bars (as cranes for instance) . There are three small parameters which characterize these structures: their global width (or thickness) e, the size of the period and the thickness €6 of the bars composing the structure. More precisely, we consider a domain consisting of four vertical bars of length L and of cross section eö/2 x e6/2. These bars are linked with horizontal thin bars of length e and cross section eö/2 x 6 and periodically distributed (with period e) along the vertical direction.