A fuzzy optimization method for octet-truss lattices
ISSN: 1355-2546
Article publication date: 13 March 2019
Issue publication date: 17 October 2019
Abstract
Purpose
This paper aims to present a multiscale fuzzy optimization (FO) method to optimize both the density distribution and macrotopology of a uniform octet-truss lattice structure.
Design/methodology/approach
The design formulae for the strut radii are presented based on the effective mechanical properties obtained from the representative volume element. The proposed basic lattice material is applied in a normalization process to determine the material model with penalization. The solid isotropic material with penalization (SIMP) method is extended to solve the minimum compliance problem using the optimality criteria. The evolutionary deletion process is proposed to delete elements corresponding to thin-strut unit cells and to obtain the optimal macrotopology.
Findings
Both numerical cases indicate that the FO results significantly improved in structural performance compared with the results of the conventional SIMP. The deleting threshold controls the macrotopology of the graded-density lattice structures with negligible effects on the mechanical properties.
Originality/value
This paper presents one of the first multiscale optimization methods to optimize both the relative density and macrotopology of uniform octet-truss lattices. The material model and corresponding optimality criteria of octet-truss lattices are proposed and implemented in the optimization.
Keywords
Citation
Yang, Y., Zhao, L., Qi, D., Shan, M. and Zhang, J. (2019), "A fuzzy optimization method for octet-truss lattices", Rapid Prototyping Journal, Vol. 25 No. 9, pp. 1525-1535. https://doi.org/10.1108/RPJ-10-2017-0212
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited