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(PDF) Simulation of local damage in ship to ship collision | Bogdan Rozmarynowski - Academia.edu
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The struck vessel is a 105400 DWT double hull crude oil carrier, while the striking ship is" /> <title>(PDF) Simulation of local damage in ship to ship collision | Bogdan Rozmarynowski - Academia.edu</title> <link rel="canonical" href="https://www.academia.edu/91585033/Simulation_of_local_damage_in_ship_to_ship_collision" /> <script async src="https://www.googletagmanager.com/gtag/js?id=G-5VKX33P2DS"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-5VKX33P2DS', { cookie_domain: 'academia.edu', send_page_view: false, }); gtag('event', 'page_view', { 'controller': "single_work", 'action': "show", 'controller_action': 'single_work#show', 'logged_in': 'false', 'edge': 'unknown', // Send nil if there is no A/B test bucket, in case some records get logged // with missing data - that way we can distinguish between the two cases. // ab_test_bucket should be of the form <ab_test_name>:<bucket> 'ab_test_bucket': null, }) </script> <script> var $controller_name = 'single_work'; var $action_name = "show"; var $rails_env = 'production'; var $app_rev = '49879c2402910372f4abc62630a427bbe033d190'; var $domain = 'academia.edu'; var $app_host = "academia.edu"; var $asset_host = "academia-assets.com"; var $start_time = new Date().getTime(); var $recaptcha_key = "6LdxlRMTAAAAADnu_zyLhLg0YF9uACwz78shpjJB"; var $recaptcha_invisible_key = "6Lf3KHUUAAAAACggoMpmGJdQDtiyrjVlvGJ6BbAj"; var $disableClientRecordHit = false; </script> <script> window.require = { config: function() { return function() {} } } </script> <script> window.Aedu = window.Aedu || {}; window.Aedu.hit_data = null; window.Aedu.serverRenderTime = new Date(1732457423000); window.Aedu.timeDifference = new Date().getTime() - 1732457423000; </script> <script type="application/ld+json">{"@context":"https://schema.org","@type":"ScholarlyArticle","abstract":"FNET meeting in Wiesbaden 2001. The paper presents results of numerical simulations of the local behaviour of a struck ship during a collision of two vessels. The struck vessel is a 105400 DWT double hull crude oil carrier, while the striking ship is a 40000 DWT container vessel with a bulbous bow, modelled as a rigid body. The dynamic analysis has been performed using the FE code ABAQUS-Explicit, which allowed to monitor the deformation and damage progression in time, accounting for large plastic strains and including the contact between the ships. To investigate sensitivity of the damage with respect to several parameters, such as : the material model, the friction coefficient for the contact between the vessels and the initial velocity of the striking ship, a number of parametric studies has been carried out.","author":[{"@context":"https://schema.org","@type":"Person","name":"Bogdan Rozmarynowski"}],"contributor":[],"dateCreated":"2022-11-25","dateModified":null,"datePublished":null,"headline":"Simulation of local damage in ship to ship collision","inLanguage":"en","keywords":[],"locationCreated":null,"publication":null,"publisher":{"@context":"https://schema.org","@type":"Organization","name":null},"image":null,"thumbnailUrl":null,"url":"https://www.academia.edu/91585033/Simulation_of_local_damage_in_ship_to_ship_collision","sourceOrganization":[{"@context":"https://schema.org","@type":"EducationalOrganization","name":null}]}</script><link rel="stylesheet" media="all" 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"https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F91585033%2FSimulation_of_local_damage_in_ship_to_ship_collision%3Fauto%3Ddownload"; window.loswp.translateUrl = "https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F91585033%2FSimulation_of_local_damage_in_ship_to_ship_collision%3Fshow_translation%3Dtrue"; window.loswp.previewableAttachments = [{"id":94831297,"identifier":"Attachment_94831297","shouldShowBulkDownload":false}]; window.loswp.shouldDetectTimezone = true; window.loswp.shouldShowBulkDownload = true; window.loswp.showSignupCaptcha = false window.loswp.willEdgeCache = false; window.loswp.work = {"work":{"id":91585033,"created_at":"2022-11-25T07:17:40.766-08:00","from_world_paper_id":221253551,"updated_at":"2023-06-14T06:33:06.126-07:00","_data":{"abstract":"FNET meeting in Wiesbaden 2001. The paper presents results of numerical simulations of the local behaviour of a struck ship during a collision of two vessels. The struck vessel is a 105400 DWT double hull crude oil carrier, while the striking ship is a 40000 DWT container vessel with a bulbous bow, modelled as a rigid body. The dynamic analysis has been performed using the FE code ABAQUS-Explicit, which allowed to monitor the deformation and damage progression in time, accounting for large plastic strains and including the contact between the ships. To investigate sensitivity of the damage with respect to several parameters, such as : the material model, the friction coefficient for the contact between the vessels and the initial velocity of the striking ship, a number of parametric studies has been carried out."},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Simulation of local damage in ship to ship collision","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [216118645]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":94831297,"attachmentType":"pdf"}"><img alt="First page of “Simulation of local damage in ship to ship collision”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/94831297/mini_magick20221125-1-fdxy0u.png?1669389565" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Simulation of local damage in ship to ship collision</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="216118645" href="https://independent.academia.edu/BogdanRozmarynowski"><img alt="Profile image of Bogdan Rozmarynowski" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/216118645/74581085/63079829/s65_bogdan.rozmarynowski.png" />Bogdan Rozmarynowski</a></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">FNET meeting in Wiesbaden 2001. The paper presents results of numerical simulations of the local behaviour of a struck ship during a collision of two vessels. The struck vessel is a 105400 DWT double hull crude oil carrier, while the striking ship is a 40000 DWT container vessel with a bulbous bow, modelled as a rigid body. The dynamic analysis has been performed using the FE code ABAQUS-Explicit, which allowed to monitor the deformation and damage progression in time, accounting for large plastic strains and including the contact between the ships. To investigate sensitivity of the damage with respect to several parameters, such as : the material model, the friction coefficient for the contact between the vessels and the initial velocity of the striking ship, a number of parametric studies has been carried out.</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":94831297,"attachmentType":"pdf","workUrl":"https://www.academia.edu/91585033/Simulation_of_local_damage_in_ship_to_ship_collision"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":94831297,"attachmentType":"pdf","workUrl":"https://www.academia.edu/91585033/Simulation_of_local_damage_in_ship_to_ship_collision"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div></div><div data-auto_select="false" data-client_id="331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b" data-doc_id="94831297" data-landing_url="https://www.academia.edu/91585033/Simulation_of_local_damage_in_ship_to_ship_collision" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="2703395" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/2703395/Analytical_modelling_of_ship_collision_based_on_full_scale_experiments">Analytical modelling of ship collision based on full-scale experiments</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35480694" href="https://independent.academia.edu/PetriVarsta">Petri Varsta</a><span>, </span><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="3383799" href="https://aalto-fi.academia.edu/JerzyMatusiak">Jerzy Matusiak</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Marine Structures, 2009</p><p class="ds-related-work--abstract ds2-5-body-sm">This paper presents a theoretical model allowing us to predict the consequences of ship–ship collision where large forces arise due to the sloshing in ship ballast tanks. 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Modeling","attachmentId":42894077,"attachmentType":"pdf","work_url":"https://www.academia.edu/15778842/Ship_Impact_Study_Analytical_Approaches_and_Finite_Element_Modeling","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/15778842/Ship_Impact_Study_Analytical_Approaches_and_Finite_Element_Modeling"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="120867841" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/120867841/Dynamics_of_ship_collisions">Dynamics of ship collisions</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="5220855" href="https://ttu-ee.academia.edu/KristjanTabri">Kristjan Tabri</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2010</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Dynamics of ship collisions","attachmentId":115884334,"attachmentType":"pdf","work_url":"https://www.academia.edu/120867841/Dynamics_of_ship_collisions","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/120867841/Dynamics_of_ship_collisions"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="78889447" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/78889447/A_comparison_of_methods_for_evaluating_structure_during_ship_collisions">A comparison of methods for evaluating structure during ship collisions</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="162617415" href="https://independent.academia.edu/JDaidola">John Daidola</a></div><p class="ds-related-work--metadata ds2-5-body-xs">1996</p><p class="ds-related-work--abstract ds2-5-body-sm">A comparison is provided of the results of various methods for evaluating structure during a ship-to-ship collision. The baseline vessel utilized in the analyses is a 67.4 meter in length displacement hull struck by an identical vessel traveling at speeds ranging from 10 to 30 knots. The structural response of the struck vessel and motion of both the struck and striking vessels are assessed by finite element analysis. These same results are then compared to predictions utilizing the {open_quotes}Tanker Structural Analysis for Minor Collisions{close_quotes} (TSAMC) Method, the Minorsky Method, the Haywood Collision Process, and comparison to full-scale tests. Consideration is given to the nature of structural deformation, absorbed energy, penetration, rigid body motion, and virtual mass affecting the hydrodynamic response. Insights are provided with regard to the calibration of the finite element model which was achievable through utilizing the more empirical analyses and the extent ...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"A comparison of methods for evaluating structure during ship collisions","attachmentId":85774352,"attachmentType":"pdf","work_url":"https://www.academia.edu/78889447/A_comparison_of_methods_for_evaluating_structure_during_ship_collisions","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/78889447/A_comparison_of_methods_for_evaluating_structure_during_ship_collisions"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="90986940" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/90986940/Simulating_the_collision_response_of_ship_side_structures_A_failure_criteria_benchmark_study">Simulating the collision response of ship side structures: A failure criteria benchmark study</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="245862088" href="https://independent.academia.edu/JoepBroekhuijsen">Joep Broekhuijsen</a></div><p class="ds-related-work--metadata ds2-5-body-xs">International shipbuilding progress, 2008</p><p class="ds-related-work--abstract ds2-5-body-sm">Simulations of the collision response of three different ship side structures are performed using the finite element method. The aim is to obtain a force-penetration curve based on the inner mechanics without considering outer dynamics. Respective structures were previously tested in large scale under the right angle ship-ship collision with a bulbous bow and these experiments were used to validate the simulations. The analysis focus is to determine the influence on the collision results from different failure criteria including the mesh size sensitivity. This paper applies the Germanischer Lloyd (GL) criterion based on thru thickness plastic strain, the criterion based on studies of Peschmann and the Rice-Tracey and Crockcroft-Latham (RTCL) criterion. The comparison of results attained here with the experimental results brings an insight into the sensitivity of the failure criteria. The final conclusion of this work is the performance of the studied failure criteria and further gui...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Simulating the collision response of ship side structures: A failure criteria benchmark study","attachmentId":94399553,"attachmentType":"pdf","work_url":"https://www.academia.edu/90986940/Simulating_the_collision_response_of_ship_side_structures_A_failure_criteria_benchmark_study","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/90986940/Simulating_the_collision_response_of_ship_side_structures_A_failure_criteria_benchmark_study"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="43983088" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/43983088/On_multi_planar_impact_mechanics_in_ship_collisions">On multi-planar impact mechanics in ship collisions</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="44894483" href="https://akersolutions.academia.edu/ZhenhuiLiu">Zhenhui Liu</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Marine Structures, 2018</p><p class="ds-related-work--abstract ds2-5-body-sm">This paper presents a new solution to ship impact dynamics in multi-planar space. A collision matrix is presented. It is derived on the basis of impact dynamics for rigid bodies. The effective mass factors are introduced accordingly. An impulse based solution to ship collisions in multi-planar space is obtained. The hydrody-namic effects are included by means of constant added mass factors. The friction effects are considered, thus "stick" and "slide" mechanics are both captured. The present method is compared with other models for ship collisions. It is shown that the method unifies existing methods on normal direction (Popov et.al, 1967) [1], planar space (Pedersen and Zhang, 1998) [2] and multi-planar space (Liu and Am-dahl, 2010) [3]. Application examples are shown to demonstrate the benefits of the method. Discussions and clarifications of some important concepts of the theory are included.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On multi-planar impact mechanics in ship collisions","attachmentId":64313010,"attachmentType":"pdf","work_url":"https://www.academia.edu/43983088/On_multi_planar_impact_mechanics_in_ship_collisions","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/43983088/On_multi_planar_impact_mechanics_in_ship_collisions"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="16356766" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/16356766/Material_relation_to_assess_the_crashworthiness_of_ship_structures">Material relation to assess the crashworthiness of ship structures</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35481000" href="https://tu-harburg.academia.edu/SorenEhlers">Soren Ehlers</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2009</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Material relation to assess the crashworthiness of ship structures","attachmentId":42513199,"attachmentType":"pdf","work_url":"https://www.academia.edu/16356766/Material_relation_to_assess_the_crashworthiness_of_ship_structures","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/16356766/Material_relation_to_assess_the_crashworthiness_of_ship_structures"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":94831297,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":94831297,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_94831297" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="44894483" href="https://akersolutions.academia.edu/ZhenhuiLiu">Zhenhui Liu</a><span>, </span><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35539477" href="https://independent.academia.edu/J%C3%B8rgenAmdahl">Jørgen Amdahl</a></div><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"A new formulation of the impact mechanics of ship collisions and its application to a ship–iceberg collision","attachmentId":43614757,"attachmentType":"pdf","work_url":"https://www.academia.edu/23119665/A_new_formulation_of_the_impact_mechanics_of_ship_collisions_and_its_application_to_a_ship_iceberg_collision","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span 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translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="7" data-entity-id="47846461" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/47846461/External_dynamics_of_ship_submarine_collision">External dynamics of ship-submarine collision</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="36259755" href="https://independent.academia.edu/FBesnier">F. 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