Abstract
The dynamic in-plane behavior of two-dimensional finite lattices with periodic microskeletal truss structures, made either by bar or beam elements, is studied adopting a homogenization asymptotic technique. The resulting equations are then analyzed for deriving relationships between reference cell properties and homogenized continuum properties. Specific selection criteria are found for geometric and material parameters of the reference cell in view of getting orthotropic as well as isotropic homogenized plates. Finally, the effects of microstructural properties on the vibrating behavior of the homogenized plate are investigated in terms of modal analysis, studying their influence on natural frequencies.
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