Modelling and analysis of ship roll oscillations interacting with stationary icebergs
Impact dynamic interaction of ships with solid ice or stationary rigid structures is a serious problem that affects the safe operation and navigation in arctic regions. The purpose of this study is to present two analytical models of impact interaction between ship roll dynamics and one-side rigid b...
Published in: | Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science |
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Language: | English |
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Online Access: | http://dx.doi.org/10.1243/09544062jmes935 http://journals.sagepub.com/doi/pdf/10.1243/09544062JMES935 |
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crsagepubl:10.1243/09544062jmes935 2023-05-15T15:05:47+02:00 Modelling and analysis of ship roll oscillations interacting with stationary icebergs Grace, I F Ibrahim, R A 2008 http://dx.doi.org/10.1243/09544062jmes935 http://journals.sagepub.com/doi/pdf/10.1243/09544062JMES935 en eng SAGE Publications http://journals.sagepub.com/page/policies/text-and-data-mining-license Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science volume 222, issue 10, page 1873-1884 ISSN 0954-4062 2041-2983 Mechanical Engineering journal-article 2008 crsagepubl https://doi.org/10.1243/09544062jmes935 2022-04-14T04:39:52Z Impact dynamic interaction of ships with solid ice or stationary rigid structures is a serious problem that affects the safe operation and navigation in arctic regions. The purpose of this study is to present two analytical models of impact interaction between ship roll dynamics and one-side rigid barrier. These models are the phenomenological modelling represented by a power law in stiffness and damping forces, and Zhuravlev non-smooth coordinate transformation. Extensive numerical simulations are carried out for all initial conditions covered by the ship grazing orbit for different values of excitation amplitude and frequencies of external wave roll moment. The basins of attraction of safe operation are obtained and reveal the coexistence of different response regimes such as non-impact periodic oscillations, modulation impact motion, period-added impact oscillations, chaotic impact motion, and unbounded rotational motion. The results are summarized in the bifurcation diagram in terms of response-excitation amplitudes plane. The stability fraction index is obtained for different values of excitation frequency based on the ratio of the area of bounded roll oscillations to the total area of the grazing orbit. Article in Journal/Newspaper Arctic Iceberg* SAGE Publications (via Crossref) Arctic Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222 10 1873 1884 |
institution |
Open Polar |
collection |
SAGE Publications (via Crossref) |
op_collection_id |
crsagepubl |
language |
English |
topic |
Mechanical Engineering |
spellingShingle |
Mechanical Engineering Grace, I F Ibrahim, R A Modelling and analysis of ship roll oscillations interacting with stationary icebergs |
topic_facet |
Mechanical Engineering |
description |
Impact dynamic interaction of ships with solid ice or stationary rigid structures is a serious problem that affects the safe operation and navigation in arctic regions. The purpose of this study is to present two analytical models of impact interaction between ship roll dynamics and one-side rigid barrier. These models are the phenomenological modelling represented by a power law in stiffness and damping forces, and Zhuravlev non-smooth coordinate transformation. Extensive numerical simulations are carried out for all initial conditions covered by the ship grazing orbit for different values of excitation amplitude and frequencies of external wave roll moment. The basins of attraction of safe operation are obtained and reveal the coexistence of different response regimes such as non-impact periodic oscillations, modulation impact motion, period-added impact oscillations, chaotic impact motion, and unbounded rotational motion. The results are summarized in the bifurcation diagram in terms of response-excitation amplitudes plane. The stability fraction index is obtained for different values of excitation frequency based on the ratio of the area of bounded roll oscillations to the total area of the grazing orbit. |
format |
Article in Journal/Newspaper |
author |
Grace, I F Ibrahim, R A |
author_facet |
Grace, I F Ibrahim, R A |
author_sort |
Grace, I F |
title |
Modelling and analysis of ship roll oscillations interacting with stationary icebergs |
title_short |
Modelling and analysis of ship roll oscillations interacting with stationary icebergs |
title_full |
Modelling and analysis of ship roll oscillations interacting with stationary icebergs |
title_fullStr |
Modelling and analysis of ship roll oscillations interacting with stationary icebergs |
title_full_unstemmed |
Modelling and analysis of ship roll oscillations interacting with stationary icebergs |
title_sort |
modelling and analysis of ship roll oscillations interacting with stationary icebergs |
publisher |
SAGE Publications |
publishDate |
2008 |
url |
http://dx.doi.org/10.1243/09544062jmes935 http://journals.sagepub.com/doi/pdf/10.1243/09544062JMES935 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Iceberg* |
genre_facet |
Arctic Iceberg* |
op_source |
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science volume 222, issue 10, page 1873-1884 ISSN 0954-4062 2041-2983 |
op_rights |
http://journals.sagepub.com/page/policies/text-and-data-mining-license |
op_doi |
https://doi.org/10.1243/09544062jmes935 |
container_title |
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science |
container_volume |
222 |
container_issue |
10 |
container_start_page |
1873 |
op_container_end_page |
1884 |
_version_ |
1766337428289748992 |