A coupled third order model of roll parametric resonance

M.A.S. Neves; C.A. Rodríguez

A coupled third order model of roll parametric resonance

M.A.S. Neves, C.A. Rodríguez

Naval Architecture, Ocean And Marine Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

25 Citations (Scopus)

Abstract

The present paper describes an investigation in which a complete third order coupled mathematical model is contemplated by considering the restoring modes of heave, roll and pitch. Numerical simulations employing this new model are compared to experimental results corresponding to excessive motions of a transom stern fishing vessel in head seas. It is shown that this enhanced model matches its results with the experiments more closely than a second order model. Considering that analyticity is an important tool when handling complex stability issues, the theoretical dynamic characteristics of the equations are discussed. It is shown that the new model, due to the introduction of the third order terms, entails qualitative differences when compared to the more commonly used second order model. The variational equation of the roll motion will not be in the form of a Mathieu equation. In fact, it is shown in the paper that the associated time dependent equation falls into the category of a Hill equation. Additionally, a hardening effect is analytically derived, related to the third order coupling and wave effect.

Original language	English
Title of host publication	Maritime Transportation and Exploitation of Ocean and Coastal Resources
Subtitle of host publication	Proceedings of the 11th International Congress of the International Maritime Association of the Mediterranean, Lisbon, Portugal, 26-30 September 2005
Editors	Carlos Guedes Soares, Y. Garbatov, N. Fonseca
Place of Publication	London
Pages	243-253
Number of pages	11
Volume	1
Publication status	Published - 30 Sept 2005
Event	12th International Congress of the International Maritime Association of the Mediterranean, IMAM 2005 - Maritime Transportation and Exploitation of Ocean and Coastal Resources - Lisboa, Portugal Duration: 26 Sept 2005 → 30 Sept 2005

Conference

Conference	12th International Congress of the International Maritime Association of the Mediterranean, IMAM 2005 - Maritime Transportation and Exploitation of Ocean and Coastal Resources
Country/Territory	Portugal
City	Lisboa
Period	26/09/05 → 30/09/05

Keywords

computer simulation
parametric resonance
fishing vessels

Cite this

Neves, M. A. S., & Rodríguez, C. A. (2005). A coupled third order model of roll parametric resonance. In C. G. Soares, Y. Garbatov, & N. Fonseca (Eds.), Maritime Transportation and Exploitation of Ocean and Coastal Resources: Proceedings of the 11th International Congress of the International Maritime Association of the Mediterranean, Lisbon, Portugal, 26-30 September 2005 (Vol. 1, pp. 243-253).

Neves, M.A.S. ; Rodríguez, C.A. / A coupled third order model of roll parametric resonance. Maritime Transportation and Exploitation of Ocean and Coastal Resources: Proceedings of the 11th International Congress of the International Maritime Association of the Mediterranean, Lisbon, Portugal, 26-30 September 2005. editor / Carlos Guedes Soares ; Y. Garbatov ; N. Fonseca. Vol. 1 London, 2005. pp. 243-253

@inproceedings{9574b1cb20f943b180d57b4d8bd165ee,

title = "A coupled third order model of roll parametric resonance",

abstract = "The present paper describes an investigation in which a complete third order coupled mathematical model is contemplated by considering the restoring modes of heave, roll and pitch. Numerical simulations employing this new model are compared to experimental results corresponding to excessive motions of a transom stern fishing vessel in head seas. It is shown that this enhanced model matches its results with the experiments more closely than a second order model. Considering that analyticity is an important tool when handling complex stability issues, the theoretical dynamic characteristics of the equations are discussed. It is shown that the new model, due to the introduction of the third order terms, entails qualitative differences when compared to the more commonly used second order model. The variational equation of the roll motion will not be in the form of a Mathieu equation. In fact, it is shown in the paper that the associated time dependent equation falls into the category of a Hill equation. Additionally, a hardening effect is analytically derived, related to the third order coupling and wave effect.",

keywords = "computer simulation, parametric resonance, fishing vessels",

author = "M.A.S. Neves and C.A. Rodr{\'i}guez",

year = "2005",

month = sep,

day = "30",

language = "English",

isbn = "9780415390361",

volume = "1",

pages = "243--253",

editor = "Soares, \{Carlos Guedes\} and Y. Garbatov and N. Fonseca",

booktitle = "Maritime Transportation and Exploitation of Ocean and Coastal Resources",

note = "12th International Congress of the International Maritime Association of the Mediterranean, IMAM 2005 - Maritime Transportation and Exploitation of Ocean and Coastal Resources ; Conference date: 26-09-2005 Through 30-09-2005",

}

Neves, MAS & Rodríguez, CA 2005, A coupled third order model of roll parametric resonance. in CG Soares, Y Garbatov & N Fonseca (eds), Maritime Transportation and Exploitation of Ocean and Coastal Resources: Proceedings of the 11th International Congress of the International Maritime Association of the Mediterranean, Lisbon, Portugal, 26-30 September 2005. vol. 1, London, pp. 243-253, 12th International Congress of the International Maritime Association of the Mediterranean, IMAM 2005 - Maritime Transportation and Exploitation of Ocean and Coastal Resources, Lisboa, Portugal, 26/09/05.

A coupled third order model of roll parametric resonance. / Neves, M.A.S.; Rodríguez, C.A.
Maritime Transportation and Exploitation of Ocean and Coastal Resources: Proceedings of the 11th International Congress of the International Maritime Association of the Mediterranean, Lisbon, Portugal, 26-30 September 2005. ed. / Carlos Guedes Soares; Y. Garbatov; N. Fonseca. Vol. 1 London, 2005. p. 243-253.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

TY - GEN

T1 - A coupled third order model of roll parametric resonance

AU - Neves, M.A.S.

AU - Rodríguez, C.A.

PY - 2005/9/30

Y1 - 2005/9/30

N2 - The present paper describes an investigation in which a complete third order coupled mathematical model is contemplated by considering the restoring modes of heave, roll and pitch. Numerical simulations employing this new model are compared to experimental results corresponding to excessive motions of a transom stern fishing vessel in head seas. It is shown that this enhanced model matches its results with the experiments more closely than a second order model. Considering that analyticity is an important tool when handling complex stability issues, the theoretical dynamic characteristics of the equations are discussed. It is shown that the new model, due to the introduction of the third order terms, entails qualitative differences when compared to the more commonly used second order model. The variational equation of the roll motion will not be in the form of a Mathieu equation. In fact, it is shown in the paper that the associated time dependent equation falls into the category of a Hill equation. Additionally, a hardening effect is analytically derived, related to the third order coupling and wave effect.

AB - The present paper describes an investigation in which a complete third order coupled mathematical model is contemplated by considering the restoring modes of heave, roll and pitch. Numerical simulations employing this new model are compared to experimental results corresponding to excessive motions of a transom stern fishing vessel in head seas. It is shown that this enhanced model matches its results with the experiments more closely than a second order model. Considering that analyticity is an important tool when handling complex stability issues, the theoretical dynamic characteristics of the equations are discussed. It is shown that the new model, due to the introduction of the third order terms, entails qualitative differences when compared to the more commonly used second order model. The variational equation of the roll motion will not be in the form of a Mathieu equation. In fact, it is shown in the paper that the associated time dependent equation falls into the category of a Hill equation. Additionally, a hardening effect is analytically derived, related to the third order coupling and wave effect.

KW - computer simulation

KW - parametric resonance

KW - fishing vessels

UR - https://www.routledge.com/Maritime-Transportation-and-Exploitation-of-Ocean-and-Coastal-Resources/Soares-Garbatov-Fonseca/p/book/9780415390361

M3 - Conference contribution book

AN - SCOPUS:36448995967

SN - 9780415390361

VL - 1

SP - 243

EP - 253

BT - Maritime Transportation and Exploitation of Ocean and Coastal Resources

A2 - Soares, Carlos Guedes

A2 - Garbatov, Y.

A2 - Fonseca, N.

CY - London

T2 - 12th International Congress of the International Maritime Association of the Mediterranean, IMAM 2005 - Maritime Transportation and Exploitation of Ocean and Coastal Resources

Y2 - 26 September 2005 through 30 September 2005

ER -

Neves MAS, Rodríguez CA. A coupled third order model of roll parametric resonance. In Soares CG, Garbatov Y, Fonseca N, editors, Maritime Transportation and Exploitation of Ocean and Coastal Resources: Proceedings of the 11th International Congress of the International Maritime Association of the Mediterranean, Lisbon, Portugal, 26-30 September 2005. Vol. 1. London. 2005. p. 243-253

A coupled third order model of roll parametric resonance

Abstract

Conference

Keywords

Other files and links

Fingerprint

Cite this