Indexed by:期刊论文

Date of Publication:2016-08-01

Journal:COMPUTERS & STRUCTURES

Included Journals:SCIE、EI、Scopus

Volume:172

Page Number:71-80

ISSN No.:0045-7949

Key Words:Periodic beam; Topology optimization; Sensitivity analysis; Homogenization method; Commercial software

Abstract:A topology optimization method is developed for microstructure design of heterogeneous periodic beam structure aiming at its extreme or specified effective stiffness. The effective stiffness is calculated using a FEM formulation of asymptotic homogenization method for heterogeneous periodic beam. Sensitivity of stiffness to the density design variable is derived analytically based on the solution of unit cell problems under corresponding generalized strain fields. Implementation of optimization procedure is generalized to take full advantage of commercial FEM software capabilities, with several examples presented to demonstrate its effectiveness. It is shown here the proposed method is extendible to periodic truss beam design. (C) 2016 Elsevier Ltd. All rights reserved.