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Modeling of arrays of passive granular dampers

Simulation models in space industry may allocate a few mesh points for such fine details as granular dampers embedded in mechanical parts. As a result, collective dynamics of grains inside dampers cannot be adequately resolved. A hierarchical approach to modeling and design has been explored by practitioners to study this phenomenon. Available models fail to explain the observed spectral response. This article is an attempt to examine models where dampers are replaced by calibrated linear and non-linear visco-elastic units with stochastic forcing. Namely, the parameterization of a non- linear visco-elastic unit is described. Non-linearity facilitates mode-mixing and shifts of major resonances, while stochastic forcing contributes to the overall risk assessment. Limitations of the proposed reductions of granular hydrodynamics are discussed.