Embedded domain knowledge method for worst-case analysis of three-span beam under multiple patch loads

ObjectiveThis paper seeks to solve the problem in which directly invoking an optimization algorithm for the worst-case analysis of a three-span beam structure under multiple wheel patch loads raises the possibility of falling into the local optimal solution rather than the global solution. MethodAn...

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Main Authors: xiangyun LUO, jun LIU, puyu JIANG, yuansheng CHENG
Format: Article
Language:English
Published: Editorial Office of Chinese Journal of Ship Research 2024-12-01
Series:Zhongguo Jianchuan Yanjiu
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Online Access:http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.03676
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author xiangyun LUO
jun LIU
puyu JIANG
yuansheng CHENG
author_facet xiangyun LUO
jun LIU
puyu JIANG
yuansheng CHENG
author_sort xiangyun LUO
collection DOAJ
description ObjectiveThis paper seeks to solve the problem in which directly invoking an optimization algorithm for the worst-case analysis of a three-span beam structure under multiple wheel patch loads raises the possibility of falling into the local optimal solution rather than the global solution. MethodAn analysis method comprising embedded domain knowledge with the general black-box optimization algorithm is proposed for the worst-case analysis of the beam. On the one hand, the position of each wheel patch load is defined as a design variable, so there is no need to specify the relative position of the group of wheel patch loads inadvance,which is more universal; on the other, by integrating knowledge of ship structural mechanics, such as “large stress resulting from the close aggregation of loads in order of magnitude, large bending moment and shear force usually generated by the load in the mid span of the beam and near the support”, into the optimization algorithm, a strategy for generating dangerous initial populations based on the genetic algorithm (GA) and the overall translational strategy of the wheel patch load are proposed respectively, thereby reducing the possibility of falling into the local optimal solution. The theoretical bending moment and shear force distribution of a three-span beam under a single wheel patch load are derived respectively. The theoretical most dangerous positions of multiple wheel patch loads are then determined by enumerating all possible combinations to verify the correctness of the proposed algorithm. ResultsCompared with the classical method using GAs without domain knowledge and under the same computational resources, the most dangerous bending normal stress and shear stress increase by 5.98% and 8.59% respectively under six wheel patch loads, and the error between the calculation results and the theoretical solution is less than 0.5%. ConclusionThe numerical results show that the proposed method can accurately, stably, and quickly obtain the most dangerous load positions.
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institution Kabale University
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publishDate 2024-12-01
publisher Editorial Office of Chinese Journal of Ship Research
record_format Article
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spelling doaj-art-9205d56dbcea42e9a887f54b0bd774d42025-01-02T00:51:28ZengEditorial Office of Chinese Journal of Ship ResearchZhongguo Jianchuan Yanjiu1673-31852024-12-01196253410.19693/j.issn.1673-3185.03676ZG3676Embedded domain knowledge method for worst-case analysis of three-span beam under multiple patch loadsxiangyun LUO0jun LIU1puyu JIANG2yuansheng CHENG3School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaObjectiveThis paper seeks to solve the problem in which directly invoking an optimization algorithm for the worst-case analysis of a three-span beam structure under multiple wheel patch loads raises the possibility of falling into the local optimal solution rather than the global solution. MethodAn analysis method comprising embedded domain knowledge with the general black-box optimization algorithm is proposed for the worst-case analysis of the beam. On the one hand, the position of each wheel patch load is defined as a design variable, so there is no need to specify the relative position of the group of wheel patch loads inadvance,which is more universal; on the other, by integrating knowledge of ship structural mechanics, such as “large stress resulting from the close aggregation of loads in order of magnitude, large bending moment and shear force usually generated by the load in the mid span of the beam and near the support”, into the optimization algorithm, a strategy for generating dangerous initial populations based on the genetic algorithm (GA) and the overall translational strategy of the wheel patch load are proposed respectively, thereby reducing the possibility of falling into the local optimal solution. The theoretical bending moment and shear force distribution of a three-span beam under a single wheel patch load are derived respectively. The theoretical most dangerous positions of multiple wheel patch loads are then determined by enumerating all possible combinations to verify the correctness of the proposed algorithm. ResultsCompared with the classical method using GAs without domain knowledge and under the same computational resources, the most dangerous bending normal stress and shear stress increase by 5.98% and 8.59% respectively under six wheel patch loads, and the error between the calculation results and the theoretical solution is less than 0.5%. ConclusionThe numerical results show that the proposed method can accurately, stably, and quickly obtain the most dangerous load positions.http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.03676knowledge-based engineeringnaval architecturethree-span continous beamwheel patch loadsworst-case analysisdomain knowledgegenetic algorithm
spellingShingle xiangyun LUO
jun LIU
puyu JIANG
yuansheng CHENG
Embedded domain knowledge method for worst-case analysis of three-span beam under multiple patch loads
Zhongguo Jianchuan Yanjiu
knowledge-based engineering
naval architecture
three-span continous beam
wheel patch loads
worst-case analysis
domain knowledge
genetic algorithm
title Embedded domain knowledge method for worst-case analysis of three-span beam under multiple patch loads
title_full Embedded domain knowledge method for worst-case analysis of three-span beam under multiple patch loads
title_fullStr Embedded domain knowledge method for worst-case analysis of three-span beam under multiple patch loads
title_full_unstemmed Embedded domain knowledge method for worst-case analysis of three-span beam under multiple patch loads
title_short Embedded domain knowledge method for worst-case analysis of three-span beam under multiple patch loads
title_sort embedded domain knowledge method for worst case analysis of three span beam under multiple patch loads
topic knowledge-based engineering
naval architecture
three-span continous beam
wheel patch loads
worst-case analysis
domain knowledge
genetic algorithm
url http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.03676
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AT junliu embeddeddomainknowledgemethodforworstcaseanalysisofthreespanbeamundermultiplepatchloads
AT puyujiang embeddeddomainknowledgemethodforworstcaseanalysisofthreespanbeamundermultiplepatchloads
AT yuanshengcheng embeddeddomainknowledgemethodforworstcaseanalysisofthreespanbeamundermultiplepatchloads