A novel dynamic reliability-based topology optimization (DRBTO)framework for continuum structures via interval-process collocation and the first-passage theories

Wang, Lei, Liu, Yaru, Liu, Dongliang and Wu, Zhangming ORCID: https://orcid.org/0000-0001-7100-3282 2021. A novel dynamic reliability-based topology optimization (DRBTO)framework for continuum structures via interval-process collocation and the first-passage theories. Computer Methods in Applied Mechanics and Engineering 386 , 114107. 10.1016/j.cma.2021.114107

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Abstract

In view of the general inertia and damping features as well as the inevitable uncertainty factors in engineering structures,a novel dynamic reliability-based topology optimization (DRBTO) strategy is investigated for time-variant mechanical systemswith overall consideration of material dispersion and loading deviation effects. The static interval-set model is first utilized toquantify multi-source uncertainty inputs and the transient interval-process model is then established to characterize unknown-but-bounded response results, which can be readily solved through the proposed interval-process collocation approach combinedwith a classical Newmark difference scheme. Different from the traditional deterministic design framework, the present DRBTOscheme will directly consider new reliability constraints, for which the non-probabilistic time-variant reliability (NTR) index ismathematically deduced using the first-passage principle. In addition, the issues related to uncertainty-oriented design sensitivityand filtering method are discussed. The usage and effectiveness of DRBTO are demonstrated with three numerical examples.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Publisher:	Elsevier
ISSN:	0045-7825
Date of First Compliant Deposit:	13 September 2021
Date of Acceptance:	9 August 2021
Last Modified:	10 Nov 2024 00:15
URI:	https://orca.cardiff.ac.uk/id/eprint/143994

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