Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm

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  • State Key Laboratory for Disaster Reduction of Civil Engineering
  • University of Liverpool
  • Tongji University
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Original languageEnglish
Article number103494
JournalProbabilistic Engineering Mechanics
Volume74
Early online date22 Jul 2023
Publication statusPublished - Oct 2023

Abstract

Dynamic-reliability-based design optimization (DRBDO) has been a promising approach for designing structures under dynamic excitations in the presence of uncertainties. This paper proposes an effective scheme for solving a class of DRBDO problems. The proposed scheme is based on the quantum particle swarm optimization (QPSO) algorithm, a quantum-inspired algorithm that utilizes quantum mechanisms to achieve better exploration and exploitation. During the optimization process, the probability density evolution method (PDEM) combined with the extreme value distribution strategy is employed to evaluate the structural dynamic reliability. Due to the high efficiency of the PDEM, the computational cost associated with reliability assessments can be considerably reduced. Numerical examples involving linear and nonlinear structures with different types of design variables are presented to demonstrate the effectiveness and efficiency of the proposed scheme.

Keywords

    Dynamic reliability, Dynamic-reliability-based design optimization, Probability density evolution method, Quantum particle swarm optimization

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Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm. / Weng, Li Li; Yang, Jia Shu; Chen, Jian Bing et al.
In: Probabilistic Engineering Mechanics, Vol. 74, 103494, 10.2023.

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title = "Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm",
abstract = "Dynamic-reliability-based design optimization (DRBDO) has been a promising approach for designing structures under dynamic excitations in the presence of uncertainties. This paper proposes an effective scheme for solving a class of DRBDO problems. The proposed scheme is based on the quantum particle swarm optimization (QPSO) algorithm, a quantum-inspired algorithm that utilizes quantum mechanisms to achieve better exploration and exploitation. During the optimization process, the probability density evolution method (PDEM) combined with the extreme value distribution strategy is employed to evaluate the structural dynamic reliability. Due to the high efficiency of the PDEM, the computational cost associated with reliability assessments can be considerably reduced. Numerical examples involving linear and nonlinear structures with different types of design variables are presented to demonstrate the effectiveness and efficiency of the proposed scheme.",
keywords = "Dynamic reliability, Dynamic-reliability-based design optimization, Probability density evolution method, Quantum particle swarm optimization",
author = "Weng, {Li Li} and Yang, {Jia Shu} and Chen, {Jian Bing} and Michael Beer",
note = "Funding Information: The financial support from the National Natural Science Foundation of China (the National Distinguished Youth Fund of NSFC with Grant No. 51725804 and the NSFC-Guangdong Province Joint Project, China Grant No. U1711264 ) is highly appreciated. ",
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AU - Weng, Li Li

AU - Yang, Jia Shu

AU - Chen, Jian Bing

AU - Beer, Michael

N1 - Funding Information: The financial support from the National Natural Science Foundation of China (the National Distinguished Youth Fund of NSFC with Grant No. 51725804 and the NSFC-Guangdong Province Joint Project, China Grant No. U1711264 ) is highly appreciated.

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AB - Dynamic-reliability-based design optimization (DRBDO) has been a promising approach for designing structures under dynamic excitations in the presence of uncertainties. This paper proposes an effective scheme for solving a class of DRBDO problems. The proposed scheme is based on the quantum particle swarm optimization (QPSO) algorithm, a quantum-inspired algorithm that utilizes quantum mechanisms to achieve better exploration and exploitation. During the optimization process, the probability density evolution method (PDEM) combined with the extreme value distribution strategy is employed to evaluate the structural dynamic reliability. Due to the high efficiency of the PDEM, the computational cost associated with reliability assessments can be considerably reduced. Numerical examples involving linear and nonlinear structures with different types of design variables are presented to demonstrate the effectiveness and efficiency of the proposed scheme.

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KW - Dynamic-reliability-based design optimization

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