Wrinkling of Toroidal Shells in Free Hydroforming

In this study, we investigated toroidal shell wrinkling in free hydroforming. We specifically focused on toroidal shells with a regular hexagonal cross-section. Membrane theory was used to examine the distribution of stress and yield load in both preform and toroidal shells. The wrinkling moment was...

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Main Authors: Xiaobin Liu, Jian Zhang, Ming Zhan, Xilu Zhao, Wenwei Wu, Kaiwei Xu
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/12/1/89
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author Xiaobin Liu
Jian Zhang
Ming Zhan
Xilu Zhao
Wenwei Wu
Kaiwei Xu
author_facet Xiaobin Liu
Jian Zhang
Ming Zhan
Xilu Zhao
Wenwei Wu
Kaiwei Xu
author_sort Xiaobin Liu
collection DOAJ
description In this study, we investigated toroidal shell wrinkling in free hydroforming. We specifically focused on toroidal shells with a regular hexagonal cross-section. Membrane theory was used to examine the distribution of stress and yield load in both preform and toroidal shells. The wrinkling moment was then predicted using an empirical formula of shell buckling. In addition, the wrinkling state was investigated using a general statics method, and the free hydroforming of toroidal shells was simulated using the Riks method. Subsequently, nonlinear buckling and equilibrium paths were analyzed. A toroidal preform was manufactured, and free hydroforming experiments were conducted. Overall, the experimental results confirmed the accuracy of the theoretical predictions and numerical simulations. This indicates that the prediction method used in the study was effective. We also found that wrinkling occurs during hydroforming in the inner region of toroidal shells due to compressive stress. Consequently, we improved the structure of the toroidal shells and performed analytical calculations and numerical simulations for the analysis. Our results indicate that wrinkling can be eliminated by increasing the number of segments on the inner side of toroidal preforms, thereby improving the quality of toroidal shells.
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spelling doaj.art-bb671469bb0f4cdca49840e8f70d844d2024-01-26T17:15:40ZengMDPI AGJournal of Marine Science and Engineering2077-13122024-01-011218910.3390/jmse12010089Wrinkling of Toroidal Shells in Free HydroformingXiaobin Liu0Jian Zhang1Ming Zhan2Xilu Zhao3Wenwei Wu4Kaiwei Xu5School of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaCollege of Mechanical Engineering, Saitama Institute of Technology, Saitama 3690293, JapanChina Ship Scientific Research Center, Wuxi 214082, ChinaChina Ship Scientific Research Center, Wuxi 214082, ChinaIn this study, we investigated toroidal shell wrinkling in free hydroforming. We specifically focused on toroidal shells with a regular hexagonal cross-section. Membrane theory was used to examine the distribution of stress and yield load in both preform and toroidal shells. The wrinkling moment was then predicted using an empirical formula of shell buckling. In addition, the wrinkling state was investigated using a general statics method, and the free hydroforming of toroidal shells was simulated using the Riks method. Subsequently, nonlinear buckling and equilibrium paths were analyzed. A toroidal preform was manufactured, and free hydroforming experiments were conducted. Overall, the experimental results confirmed the accuracy of the theoretical predictions and numerical simulations. This indicates that the prediction method used in the study was effective. We also found that wrinkling occurs during hydroforming in the inner region of toroidal shells due to compressive stress. Consequently, we improved the structure of the toroidal shells and performed analytical calculations and numerical simulations for the analysis. Our results indicate that wrinkling can be eliminated by increasing the number of segments on the inner side of toroidal preforms, thereby improving the quality of toroidal shells.https://www.mdpi.com/2077-1312/12/1/89wrinklingtoroidal shellfree hydroformingbuckling
spellingShingle Xiaobin Liu
Jian Zhang
Ming Zhan
Xilu Zhao
Wenwei Wu
Kaiwei Xu
Wrinkling of Toroidal Shells in Free Hydroforming
Journal of Marine Science and Engineering
wrinkling
toroidal shell
free hydroforming
buckling
title Wrinkling of Toroidal Shells in Free Hydroforming
title_full Wrinkling of Toroidal Shells in Free Hydroforming
title_fullStr Wrinkling of Toroidal Shells in Free Hydroforming
title_full_unstemmed Wrinkling of Toroidal Shells in Free Hydroforming
title_short Wrinkling of Toroidal Shells in Free Hydroforming
title_sort wrinkling of toroidal shells in free hydroforming
topic wrinkling
toroidal shell
free hydroforming
buckling
url https://www.mdpi.com/2077-1312/12/1/89
work_keys_str_mv AT xiaobinliu wrinklingoftoroidalshellsinfreehydroforming
AT jianzhang wrinklingoftoroidalshellsinfreehydroforming
AT mingzhan wrinklingoftoroidalshellsinfreehydroforming
AT xiluzhao wrinklingoftoroidalshellsinfreehydroforming
AT wenweiwu wrinklingoftoroidalshellsinfreehydroforming
AT kaiweixu wrinklingoftoroidalshellsinfreehydroforming