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Title: Sequential sampling approach to energy‐based multi‐objective design optimization of steel frames with correlated random parameters
Authors: Do, Bach
Ohsaki, Makoto
Author's alias: 大﨑, 純
Keywords: sequential optimization
energy dissipation
correlated random parameters
multi-objective optimization
probabilistic constraints
steel frames
Issue Date: Mar-2022
Publisher: Wiley
Journal title: Earthquake Engineering & Structural Dynamics
Volume: 51
Issue: 3
Start page: 588
End page: 611
Abstract: This work presents a novel sequential sampling approach to the multi-objective reliability-based design optimization of moment-resisting steel frames subjected to earthquake excitation. The optimization problem is formulated with two objective functions, namely, the total mass and the energy dissipated by beam members of the frame, and subject to uncorrelated probabilistic constraints on dynamic responses under the effects of correlated random parameters of floor masses, external loads, and material properties. The dynamic responses for a small number of designs are found by nonlinear response history analysis and further approximated by Gaussian process (GP) models to mitigate the computational burden during the optimization process. Approximate solutions sorted among existing candidate solutions are updated after each optimization iteration using discrete random local and global searches. The GP models are also refined after each optimization iteration by specifying new sampling points that lie on the Pareto front of a bi-objective deterministic maximization problem formulated for the improvement in the current approximate solutions and the feasibility of the new sampling points. As demonstrated in a test problem, the new sampling points tend to distribute in the neighborhood of the exact solutions, thereby underpinning a quick termination as well as the robustness of the proposed method. Optimization results from the test problem and a design example show that good approximate solutions are always obtained as the solution quality converges.
Rights: This is the peer reviewed version of the following article: [Do, B, Ohsaki, M. Sequential sampling approach to energy-based multi-objective design optimization of steel frames with correlated random parameters. Earthquake Engng Struct Dyn. 2022; 51: 588– 611], which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.
The full-text file will be made open to the public on 23 November 2022 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): 10.1002/eqe.3581
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