Reduced modeling and analysis of large repetitive space structures via continuum/discrete concepts

The paper describes reduced modeling/analysis approaches for repetitive lattice configurations with emphasis on tetrahedral-type space structures although the basic concepts can be extended to general repetitive lattice structures as well. The approach is based on transforming the actual configuration to a significantly reduced discrete configuration using scaling transformations and constitutive properties derived via the concept of equivalent continuum. The approach seeks to model/analyze the much simpler and reduced configurations, and transformations and extrapolation/interpolation procedures are utilized to relate back the response to that of the significantly complex actual configurations. The effectiveness and accuracy of the approach is demonstrated via comparisons with detailed analysis of the actual models. Response due to geometric non-linear effects are also evaluated. The overall results obtained are in good agreement and the approach offers potential for further extension.