论文部分内容阅读
This work presents a generalized topology optimization approach for the design of hierarchical lattice structures with the development of an Approximation of Reduced Substructure with Penalization (ARSP) model.Lattice structure is assumed to be composed of substructures sharing one common geometrical pattern.Unlike conventional homogenization-based designs assuming scale separation,in this work we consider two different but connected hierarchical scales.Each of the substructures is condensed first into a super-element with a reduced degrees of freedom and is associated with a density design variable indicating the volume fraction of solid.The density design variable is linked to a lattice geometrical feature parameter.