A Novel Design Method for Nonuniform Lattice Structures Based on Topology Optimization

[+] Author and Article Information
Yafeng Han

Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, 117975, Singapore

Wen Feng Lu

Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, 117975, Singapore

1Corresponding author.

ASME doi:10.1115/1.4040546 History: Received February 01, 2018; Revised June 06, 2018


Lattice structures are broadly used in lightweight structure designs and multi-functional applications. Especially, with the unprecedented capabilities of additive manufacturing (AM) technologies and computational optimization methods, design of nonuniform lattice structures has recently attracted great research interests. To eliminate constraints of the common "ground structure approaches" (GSAs), a novel topology optimization based method is proposed in this paper. Particularly, the structural wall-thickness in the proposed design method was set as uniform for better manufacturability. As a solution to carry out the optimized material distribution for the lattice structure, geometrical size of each unit cell was set as design variable. The relative density model, which can be obtained from the solid isotropic microstructure with penalization (SIMP) based topology optimization method, was mapped into a nonuniform lattice structure with different size cells. Finite element analysis (FEA) based homogenization method was applied to obtain the mechanical properties of these different size gradient unit cells. With similar mechanical properties, elements with different "relative density" was translated into unit cells with different size. Consequently, the common topology optimization result can be mapped into a nonuniform lattice structure. This proposed method was computationally and experimentally validated by two different load-support design cases. Taking advantage of the changeable surface-to-volume ratio through manipulating the cell size, this method was also applied to design a heat sink with optimum heat dissipation efficiency. Most importantly, this design method provides a new perspective to design nonuniform lattice structures with enhanced functionality and manufacturability.

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