An efficient approach for dynamic-reliability-based topology optimization of braced frame structures with probability density evolution method

Yang, Jia-Shu, Chen, Jian-Bing, Beer, Michael ORCID: 0000-0002-0611-0345 and Jensen, Hector (2022) An efficient approach for dynamic-reliability-based topology optimization of braced frame structures with probability density evolution method. Advances in Engineering Software, 173. p. 103196.

Text
20220710-DDRBTO_SIMP_v6.0.pdf - Author Accepted Manuscript
Download (668kB) | Preview

Official URL: http://dx.doi.org/10.1016/j.advengsoft.2022.103196

Abstract

The present paper explores the feasibility of topology optimization of stochastic dynamical systems in the framework of the probability density evolution method (PDEM). A new method is proposed for solving dynamic-reliability-based topology optimization (DRBTO) problems by combining the PDEM, the ground structure approach and the solid isotropic material with penalization (SIMP) model. In the investigated optimization problems, the first-passage probability is considered as an objective or constraint function. To obtain a clear layout of the optimized structure, the topology of the structure is described by the ground structure approach together with the SIMP model. The PDEM is employed as an efficient approach to assess the first-passage probability. For improved numerical efficiency, an approximate formulation of the first-passage probability based on the important representative points (IRPs) is implemented. On the basis of the approximate formulation of the first-passage probability, a relationship between the sensitivity of the first-passage probability and the transient response is obtained. The adjoint sensitivity analysis of the transient response is introduced to avoid extra numerical efforts. Then, by incorporating the first-passage probability and its sensitivity into the method of moving asymptotes (MMA), the investigated DRBTO problems are solved in an effective manner. The DRBTO of a braced frame structure is presented to demonstrate the availability and effectiveness of the proposed method.

Item Type:	Article
Uncontrolled Keywords:	First -passage probability, Topology optimization, Probability density evolution method, Sensitivity analysis, Braced frame structure
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	23 Aug 2022 10:17
Last Modified:	05 Aug 2023 01:30
DOI:	10.1016/j.advengsoft.2022.103196
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3162076