Title: Topology optimisation of truss structures under non-stationary random seismic excitations with displacement and stress constraints

Authors: Xueping Li; Yanyu Tang; Peng Wei; Cheng Su

Addresses: State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, 510640, China ' State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, 510640, China ' State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, 510640, China; State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China ' State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, 510640, China

Abstract: This paper studies topology optimisation problems of truss structures under non-stationary random seismic excitations considering displacement and stress constraints. The optimisation model of truss structures is formulated by taking volume minimisation with constraints on variances of displacements and stresses. The explicit time domain method (ETDM) is applied to analyse the stochastic responses of the structure and the sensitivities with respect to the design variables. Based on the sensitivity analysis, the nodal positions and the cross-sectional areas of the bar elements of the truss structures are optimised simultaneously by using the globally convergent method of moving asymptotes (GCMMA). Meanwhile, a scheme is proposed to delete zero bars and redundant nodes during the optimisation process. Finally, several topology optimisation examples of 2-D and 3-D truss structures illustrate the accuracy and computational efficiency of the proposed method.

Keywords: topology optimisation; truss structures; seismic excitations; explicit time domain method; ETDM.

DOI: 10.1504/IJMPT.2020.113187

International Journal of Materials and Product Technology, 2020 Vol.61 No.2/3/4, pp.131 - 159

Received: 16 Jan 2020
Accepted: 07 Jul 2020
Published online: 23 Feb 2021 *

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