Linear and nonlinear analyses of the porpoising dynamics of high-speed planing craft using full-scale trial data

Hamada, Satoru; Maki, Atsuo

doi:https://doi.org/10.1007/s00773-023-00972-3

Linear and nonlinear analyses of the porpoising dynamics of high-speed planing craft using full-scale trial data

Hamada, Satoru; Maki, Atsuo

Journal of Marine Science and Technology (Japan), 2023, 29, 93-104

アクセス数:252件（2025-07-26 22:07 集計）

固定URL: https://hdl.handle.net/11094/93341

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タイトル	Linear and nonlinear analyses of the porpoising dynamics of high-speed planing craft using full-scale trial data
著者	著者名 Hamada, Satoru
著者	NRID 1000050556496 1000050556496 ORCID 0000-0002-2819-1297 0000-0002-2819-1297 researchmap permalink atsuo_maki atsuo_maki Scopus Author ID 24503751100 24503751100 著者名 Maki, Atsuo
キーワード等	High-speed boat
	Hopf bifurcation
	Nonlinear analysis
	Planing hull
	Porpoising
内容	This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00773-023-00972-3
内容	Hamada S., Maki A.. Linear and nonlinear analyses of the porpoising dynamics of high-speed planing craft using full-scale trial data. Journal of Marine Science and Technology (Japan) , (2023); https://doi.org/10.1007/s00773-023-00972-3.
抄録	Although it is known from previous studies that porpoising in high-speed planing craft is a Hopf bifurcation, this study examined its occurrence and disappearance using the motion model identified from full-scale test data. Herein, we first analyzed the stability of the system linearized near the equilibrium point. From its results, we reconfirmed the knowledge that porpoising occurs when the system becomes unstable in the vicinity of the equilibrium point. We also found that the system became unstable as the thrust or trim angle of the outboard motor decreased. This finding was consistent with the results of a full-scale craft test performed in a previous study. Second, we confirmed that the limit cycle which is a result of the nonlinearity of the system was stable. The two analyses indicate that porpoising corresponds to the supercritical Hopf bifurcation. Furthermore, in the vicinity of the bifurcation point, it was found that stable equilibrium points and stable limit cycles can coexist. Finally, we confirmed this phenomenon in the full-scale test.
出版者	Springer
収録物名	Journal of Marine Science and Technology (Japan)
巻(号)	29
ページ	93-104
刊行年月	2023-11-29
言語	英語
ハンドルURL	https://hdl.handle.net/11094/93341
PISSN	09484280
関連情報 (isVersionOf)	DOI (出版社版) https://doi.org/10.1007/s00773-023-00972-3
アクセス権	open access
出版タイプ	Accepted Manuscript
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Journal of Marine Science and Technology (Japan). 2023, 29, p. 93-104
DC.title	Linear and nonlinear analyses of the porpoising dynamics of high-speed planing craft using full-scale trial data
DC.creator	Hamada, Satoru
DC.creator	Maki, Atsuo
DC.publisher	Springer
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2023-11-29
DC.identifier	https://doi.org/10.1007/s00773-023-00972-3
DC.subject	High-speed boat
	Hopf bifurcation
	Nonlinear analysis
	Planing hull
	Porpoising
DC.description	This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00773-023-00972-3
DC.description	Hamada S., Maki A.. Linear and nonlinear analyses of the porpoising dynamics of high-speed planing craft using full-scale trial data. Journal of Marine Science and Technology (Japan) , (2023); https://doi.org/10.1007/s00773-023-00972-3.
DCTERMS.abstract	Although it is known from previous studies that porpoising in high-speed planing craft is a Hopf bifurcation, this study examined its occurrence and disappearance using the motion model identified from full-scale test data. Herein, we first analyzed the stability of the system linearized near the equilibrium point. From its results, we reconfirmed the knowledge that porpoising occurs when the system becomes unstable in the vicinity of the equilibrium point. We also found that the system became unstable as the thrust or trim angle of the outboard motor decreased. This finding was consistent with the results of a full-scale craft test performed in a previous study. Second, we confirmed that the limit cycle which is a result of the nonlinearity of the system was stable. The two analyses indicate that porpoising corresponds to the supercritical Hopf bifurcation. Furthermore, in the vicinity of the bifurcation point, it was found that stable equilibrium points and stable limit cycles can coexist. Finally, we confirmed this phenomenon in the full-scale test.
DC.format	93341
citation_title	Linear and nonlinear analyses of the porpoising dynamics of high-speed planing craft using full-scale trial data
citation_author	Hamada, Satoru
citation_author	Maki, Atsuo
citation_publisher	Springer
citation_language	英語
citation_date	2023-11-29
citation_journal_title	Journal of Marine Science and Technology (Japan)
citation_volume	29
citation_firstpage	93
citation_lastpage	104
citation_doi	https://doi.org/10.1007/s00773-023-00972-3
citation_public_url	https://hdl.handle.net/11094/93341

Linear and nonlinear analyses of the porpoising dynamics of high-speed planing craft using full-scale trial data

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