Lattice structure design optimization under localized linear buckling constraints

TL;DR

This paper presents an optimization approach for designing multi-lattice structures that meet local buckling constraints, improving overall stiffness and buckling resistance through elastic tensor distribution and local stress analysis.

Contribution

It introduces a novel optimization method combining free material optimization with lattice embedding to enhance local buckling resistance in multi-lattice structures.

Findings

Achieves structures with high stiffness and buckling resistance

Effectively embeds lattice structures within macro elements

Improves local buckling performance through stress-informed design

Abstract

An optimization method for the design of multi-lattice structures satisfying local buckling constraints is proposed in this paper. First, the concept of free material optimization is introduced to find an optimal elastic tensor distribution among all feasible elastic continua. By approximating the elastic tensor under the buckling-containing constraint, a matching lattice structure is embedded in each macro element. The stresses in local cells are especially introduced to obtain a better structure. Finally, the present method obtains a lattice structure with excellent overall stiffness and local buckling resistance, which enhances the structural mechanical properties.