Title: Optimisation design of graded lattice structures for natural frequency

Authors: Yu Wang; Tinghao Zhang; Jian Mu; Xijia Liu; Bin Tu; Huazhong Lu

Addresses: College of Engineering, South China Agricultural University, Guangzhou 510642, China ' College of Engineering, South China Agricultural University, Guangzhou 510642, China ' College of Engineering, South China Agricultural University, Guangzhou 510642, China ' College of Engineering, South China Agricultural University, Guangzhou 510642, China ' College of Engineering, South China Agricultural University, Guangzhou 510642, China ' College of Engineering, South China Agricultural University, Guangzhou 510642, China

Abstract: In this study, a design approach is presented to optimise the layout of lattice structures for natural frequency in dynamic problems. For an optimisation framework, the design domain is periodically configured by a series of predefined microstructures with variable thickness of structures. An interpolation scheme was employed to estimate the mechanical properties of the unit cells with respect to their thicknesses. To achieve an optimised design ready for additive manufacturing, the constraint of the minimum length scale is considered in the optimisation process, and a post-processing scheme is developed to smooth the mismatches between the unit cells with different thicknesses of microstructures. Two numerical examples are investigated to demonstrate the feasibility of the proposed approach for designing manufacturable lattice structures with practical significance.

Keywords: lattice structures; natural frequency; optimisation design; mismatch.

DOI: 10.1504/IJMPT.2020.113193

International Journal of Materials and Product Technology, 2020 Vol.61 No.2/3/4, pp.185 - 201

Received: 17 Mar 2020
Accepted: 05 Sep 2020
Published online: 23 Feb 2021 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article