Thermomechanical coupled topology optimization of parameterized lattice structures

This paper presents a topology optimization approach for parameterized lattice structures subjected to thermomechanical coupled loads. The proposed approach aims to minimize the compliance of lattice structures while satisfying volume fraction constraints and accurate temperature constraints. A thermomechanical coupled optimization model containing a heat transfer model and a thermoelastic model is utilized for accurate modeling, and the distribution of the temperature field is related to design variables. Numerical homogenization is employed to calculate the effective properties of parameterized lattices, and polynomial interpolation models are used to replace numerical homogenization methods during optimization iterations to reduce computational costs. The proposed method is demonstrated through examples involving battery packs, L-brackets, and machine tool headstocks. Numerical verification results show that the proposed method significantly reduces the compliance of the designed structures compared to traditional solid designs and precisely meets temperature constraints.