Bi-axial hollow slab is a technology that reduces the amount of concrete by replacing it with plastic spheres with voids on their inside. This technique leads to material economy and self-weight saving, without considerable inertial loss. One of the main loads that a structure is subjected to is dynamic excitation caused by human interaction, which are characterized by being periodic and low frequency.In this context, this work aims to develop a mathematical model that describes the structural dynamic behavior of the hollow slab. To that, four finite element models were created, and their dynamic properties of vibration modes and natural frequencies were compared to an experimentally tested hollow slab specimen. The models 1, 2, 3 and 4 were elaborated with frame, shell-thin, shell-layered and solid element, respectively. The results presented in this paper show that the lowest variation was obtained by the model 3, with a 0,60% difference for a 6,7 Hz frequency relative to the first mode of the experimental hollow slab. It can be concluded that, among the numerical models analyzed in this work, the one that best describes the modal behavior of a bi-axial hollow slab it's the model 3, although models 2 presents good precision too.
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