We studied the viscoelasticity of two lyotropic lamellar systems prepa
red in the so-called ''onion phase''. This state consists of monodispe
rse multilamellar vesicles filling up space. The elastic (G') modulus
is measured as a function of the frequency in the linear regime (small
amplitude of the oscillations) for different onion sizes and characte
ristic distances between membranes. The results are interpreted in ter
ms of the elastic deformation of smectic beads.