Multi-objective topology optimisation design of lattice structures with negative Poisson's ratio considering energy absorption and load-bearing characteristics

Abstract

To make lattice structures have both load-bearing and energy absorption characteristics to protect the safety of personnel and equipment in the collision, this paper proposes a multi-objective topology optimisation method for the design of lattice structures with negative Poisson's ratio. The energy absorption and load-bearing characteristics of the lattice structure are characterised by negative Poisson's ratio and stiffness, respectively. A topology optimisation model is established to maximise the stiffness and negative Poisson's ratio of the lattice structure. The design optimisation of microscopic material is conducted by the energy homogenisation method. A modified optimality criteria method is employed to update design variables. The energy absorption and load-bearing characteristics of the optimised structure are tested and analysed by finite element simulation and compression experiment, respectively. The results show that the optimised lattice structure has both energy absorption and load-bearing characteristics. In general, the proposed method can provide a feasible reference for the topology optimisation design of anti-collision structures.