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Title: Quantile-based sequential optimization and reliability assessment for shape and topology optimization of plane frames using L-moments
Authors: Shen, Wei
Ohsaki, Makoto
Yamakawa, Makoto
Author's alias: 沈, 偉
大﨑, 純
Keywords: Quantile function
Sample L-moment
Sequential optimization and reliability assessment
Shape and topology optimization
Force density method
Maximum entropy method
Issue Date: Jan-2022
Publisher: Elsevier BV
Journal title: Structural Safety
Volume: 94
Thesis number: 102153
Abstract: Uncertainty is inevitable in the real physical world, and it is necessary to take into account its effects on the structural design and optimization processes. In this study a reliability-based shape and topology optimization method is proposed for plane frames. The reliability constraint is expressed in terms of quantile which is estimated by using the maximum entropy method subject to constraints on the sample linear moments (L-moments) with small sample size. An iterative scheme of sequential optimization and reliability assessment is employed to solve a series of deterministic optimization problems with shifted boundaries on the constraints. Derivative of the quantile function is obtained by solving a convex optimization problem, instead of solving a system of nonlinear equations. Force density method is applied to an auxiliary truss model for simultaneous shape and topology optimization of plane frames to alleviate the difficulties caused by melting nodes. It is demonstrated by the benchmark and numerical examples that the quantile function can be appropriately estimated by the proposed method, and the solution satisfying the required reliability constraint can also be achieved.
Rights: © 2021. This manuscript version is made available under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International license.
The full-text file will be made open to the public on 1 January 2024 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
DOI(Published Version): 10.1016/j.strusafe.2021.102153
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