Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts

Abstract The similarity test of ship stiffened plate structures under underwater explosions is a cost-effective and efficient method to evaluate the vitality of ships and guide the design of their shock resistance. This study focuses on the nonlinear impact response model tests of ship stiffened pla...

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Main Authors: Dongyan Shi, Jiuqiang Wang, Zhikai Wang, M. K. Helal Wasim
Format: Article
Language:English
Published: Nature Portfolio 2024-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-66366-6
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author Dongyan Shi
Jiuqiang Wang
Zhikai Wang
M. K. Helal Wasim
author_facet Dongyan Shi
Jiuqiang Wang
Zhikai Wang
M. K. Helal Wasim
author_sort Dongyan Shi
collection DOAJ
description Abstract The similarity test of ship stiffened plate structures under underwater explosions is a cost-effective and efficient method to evaluate the vitality of ships and guide the design of their shock resistance. This study focuses on the nonlinear impact response model tests of ship stiffened plate structures and their similarity laws with actual ships. The vertical motion of the ship stiffened plate structure is characterized by the Hurst index, and an equivalent relationship between the Hurst index of the model and the prototype is derived from classical similarity law. Based on the Hurst index, a similarity transformation relationship between the strain signals of the model and prototype is established. To verify the conclusions, similarity experiments of underwater explosions were conducted on both the model and the prototype. The original signals were grouped by the natural vibration period to determine the variation of the Hurst index over time. The model experiment strain signals for each natural vibration period were converted and compared with the prototype experiment results to verify the method's effectiveness. Simultaneously, the Hurst index of the stiffened plate structure under explosive shock load and its similarity transformation relationship with the prototype were simulated and analyzed. This provides theoretical and technical support for conducting analogous nonlinear response experiments for ship underwater explosions.
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spelling doaj-art-0eaed6778ffe4dea8dbd3fe75261503a2025-08-20T01:59:43ZengNature PortfolioScientific Reports2045-23222024-07-0114111510.1038/s41598-024-66366-6Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impactsDongyan Shi0Jiuqiang Wang1Zhikai Wang2M. K. Helal Wasim3College of Mechanical and Electrical Engineering, Harbin Engineering UniversityCollege of Mechanical and Electrical Engineering, Harbin Engineering UniversityCollege of Ship Engineering, Harbin Engineering UniversityMechanical Engineering Department, Kafr El-Sheikh UniversityAbstract The similarity test of ship stiffened plate structures under underwater explosions is a cost-effective and efficient method to evaluate the vitality of ships and guide the design of their shock resistance. This study focuses on the nonlinear impact response model tests of ship stiffened plate structures and their similarity laws with actual ships. The vertical motion of the ship stiffened plate structure is characterized by the Hurst index, and an equivalent relationship between the Hurst index of the model and the prototype is derived from classical similarity law. Based on the Hurst index, a similarity transformation relationship between the strain signals of the model and prototype is established. To verify the conclusions, similarity experiments of underwater explosions were conducted on both the model and the prototype. The original signals were grouped by the natural vibration period to determine the variation of the Hurst index over time. The model experiment strain signals for each natural vibration period were converted and compared with the prototype experiment results to verify the method's effectiveness. Simultaneously, the Hurst index of the stiffened plate structure under explosive shock load and its similarity transformation relationship with the prototype were simulated and analyzed. This provides theoretical and technical support for conducting analogous nonlinear response experiments for ship underwater explosions.https://doi.org/10.1038/s41598-024-66366-6Underwater explosionPlate frame structureImpact nonlinearityHurst indexSimilarity law
spellingShingle Dongyan Shi
Jiuqiang Wang
Zhikai Wang
M. K. Helal Wasim
Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts
Scientific Reports
Underwater explosion
Plate frame structure
Impact nonlinearity
Hurst index
Similarity law
title Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts
title_full Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts
title_fullStr Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts
title_full_unstemmed Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts
title_short Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts
title_sort nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts
topic Underwater explosion
Plate frame structure
Impact nonlinearity
Hurst index
Similarity law
url https://doi.org/10.1038/s41598-024-66366-6
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AT jiuqiangwang nonlinearsimilaritycharacterisationandvalidationofdynamicresponseofshipstiffenedplatestructureunderexplosionloadimpacts
AT zhikaiwang nonlinearsimilaritycharacterisationandvalidationofdynamicresponseofshipstiffenedplatestructureunderexplosionloadimpacts
AT mkhelalwasim nonlinearsimilaritycharacterisationandvalidationofdynamicresponseofshipstiffenedplatestructureunderexplosionloadimpacts