Stiffness analysis and structural optimization design of an air spring for ships

Abstract An air spring (AS) for ships must have the structural strength of its bellows enhanced considerably to ensure its reliability under high internal pressure and strong impact. In this case, the stiffness of the bellows gradually dominates the overall stiffness of the AS. Nevertheless, the par...

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Main Authors: Yuqiang Cheng, Hua Gao, Jianguo Ma, Changgeng Shuai
Format: Article
Language:English
Published: Nature Portfolio 2024-06-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-62581-3
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author Yuqiang Cheng
Hua Gao
Jianguo Ma
Changgeng Shuai
author_facet Yuqiang Cheng
Hua Gao
Jianguo Ma
Changgeng Shuai
author_sort Yuqiang Cheng
collection DOAJ
description Abstract An air spring (AS) for ships must have the structural strength of its bellows enhanced considerably to ensure its reliability under high internal pressure and strong impact. In this case, the stiffness of the bellows gradually dominates the overall stiffness of the AS. Nevertheless, the parameterization calculation of stiffness for an AS mainly focuses on its pneumatic stiffness. The bellows stiffness is normally analyzed by virtue of equivalent simplification or numeric simulation. There is not an effective parameterization calculation model for the stiffness of the bellows, making it difficult to achieve the structural optimization design of the bellows. In this paper, the shell theory was borrowed to build a mechanical model for the bellows. Subsequently, the state vector of the bellows was solved by precision integration and boundary condition. Iteration was conducted to identify the complex coupling relationship between the vector of the bellows and other parameters. On this basis, the parameterization calculation method was introduced for the stiffness of the bellows to obtain the vertical and horizontal stiffness of the AS. After that, a dual-membrane low-stiffness structure was designed to analyze the dominating factors affecting the strength and stiffness of the AS, which highlighted the way to the low-stiffness optimization design of high-strength ASs. In the end, three prototypes and one optimized prototype were tested to verify the correctness of the parameterization design model for stiffness as well as the effectiveness of the structural optimization design.
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institution Kabale University
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publishDate 2024-06-01
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spelling doaj-art-730186854fad440694afd56b49132a682024-12-29T12:26:06ZengNature PortfolioScientific Reports2045-23222024-06-0114111210.1038/s41598-024-62581-3Stiffness analysis and structural optimization design of an air spring for shipsYuqiang Cheng0Hua Gao1Jianguo Ma2Changgeng Shuai3Institute of Noise and Vibration, Naval University of EngineeringInstitute of Noise and Vibration, Naval University of EngineeringInstitute of Noise and Vibration, Naval University of EngineeringInstitute of Noise and Vibration, Naval University of EngineeringAbstract An air spring (AS) for ships must have the structural strength of its bellows enhanced considerably to ensure its reliability under high internal pressure and strong impact. In this case, the stiffness of the bellows gradually dominates the overall stiffness of the AS. Nevertheless, the parameterization calculation of stiffness for an AS mainly focuses on its pneumatic stiffness. The bellows stiffness is normally analyzed by virtue of equivalent simplification or numeric simulation. There is not an effective parameterization calculation model for the stiffness of the bellows, making it difficult to achieve the structural optimization design of the bellows. In this paper, the shell theory was borrowed to build a mechanical model for the bellows. Subsequently, the state vector of the bellows was solved by precision integration and boundary condition. Iteration was conducted to identify the complex coupling relationship between the vector of the bellows and other parameters. On this basis, the parameterization calculation method was introduced for the stiffness of the bellows to obtain the vertical and horizontal stiffness of the AS. After that, a dual-membrane low-stiffness structure was designed to analyze the dominating factors affecting the strength and stiffness of the AS, which highlighted the way to the low-stiffness optimization design of high-strength ASs. In the end, three prototypes and one optimized prototype were tested to verify the correctness of the parameterization design model for stiffness as well as the effectiveness of the structural optimization design.https://doi.org/10.1038/s41598-024-62581-3Air springFiber-reinforced compositeStiffness characteristicsStrength characteristicsOptimization designPrecise transfer matrix
spellingShingle Yuqiang Cheng
Hua Gao
Jianguo Ma
Changgeng Shuai
Stiffness analysis and structural optimization design of an air spring for ships
Scientific Reports
Air spring
Fiber-reinforced composite
Stiffness characteristics
Strength characteristics
Optimization design
Precise transfer matrix
title Stiffness analysis and structural optimization design of an air spring for ships
title_full Stiffness analysis and structural optimization design of an air spring for ships
title_fullStr Stiffness analysis and structural optimization design of an air spring for ships
title_full_unstemmed Stiffness analysis and structural optimization design of an air spring for ships
title_short Stiffness analysis and structural optimization design of an air spring for ships
title_sort stiffness analysis and structural optimization design of an air spring for ships
topic Air spring
Fiber-reinforced composite
Stiffness characteristics
Strength characteristics
Optimization design
Precise transfer matrix
url https://doi.org/10.1038/s41598-024-62581-3
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AT huagao stiffnessanalysisandstructuraloptimizationdesignofanairspringforships
AT jianguoma stiffnessanalysisandstructuraloptimizationdesignofanairspringforships
AT changgengshuai stiffnessanalysisandstructuraloptimizationdesignofanairspringforships