Two-parameter bifurcation of equilibria in continuous-time of naval dynamical systems

Marco Altosole, Andrea Coraddu, Massimo Figari

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

The objective of the article is to classify the asymptotical dynamics behaviour of a marine propulsion plant by using two parameters bifurcation. The marine propulsion plant is mathematically represented by a three-dimensional system of non-linear ordinary differential equations (ODE). The presented mathematical methodology is referred to a generic twin-screw ship, with a Combined Gas and Gas propulsion configuration (COGAG). The non-linear ODE system proposed by the authors in a previous paper [1] represents the hull dynamics, the machinery dynamics, and the action of the propulsion control device. In the previous paper, the mathematical structure of the model, some simulations and a validation on the base of full scale sea trials data, were presented. The present paper is more focused on the stability analysis of the system, in order to assess the numerical values of some important control parameters. The analysis may be useful in the preliminary design phase of the propulsion control device in order to evaluate the best control parameters and to avoid some unwanted dynamical behaviour such as chaos or periodicity.
LanguageEnglish
Title of host publicationComputational methods in marine engineering 2009
Subtitle of host publication[extended abstracts presented at MARINE 2009, the Third International Conference on Computational Methods in Marine Engineering, held at the Norwegian University of Science and Technology (NTNU) in Tronheim, Norway, 15-17 June 2009]
Place of PublicationBarcelona
Pages356-359
Number of pages4
Publication statusPublished - 19 Jun 2009
Event3rd International Conference on Computational Methods in Marine Engineering - Norwegian University of Science and Technology, Trondheim, Norway
Duration: 15 Jun 200917 Jun 2009
http://congress.cimne.upc.es/marine09

Conference

Conference3rd International Conference on Computational Methods in Marine Engineering
CountryNorway
CityTrondheim
Period15/06/0917/06/09
Internet address

Fingerprint

Bifurcation (mathematics)
Dynamical systems
Propulsion
Ship propulsion
Ordinary differential equations
Gases
Chaos theory
Machinery
Ships

Keywords

  • non linear differential equations
  • phase portrait
  • numberical simulations
  • marine gas turbine
  • ship propulsion

Cite this

Altosole, M., Coraddu, A., & Figari, M. (2009). Two-parameter bifurcation of equilibria in continuous-time of naval dynamical systems. In Computational methods in marine engineering 2009: [extended abstracts presented at MARINE 2009, the Third International Conference on Computational Methods in Marine Engineering, held at the Norwegian University of Science and Technology (NTNU) in Tronheim, Norway, 15-17 June 2009] (pp. 356-359). Barcelona.
Altosole, Marco ; Coraddu, Andrea ; Figari, Massimo. / Two-parameter bifurcation of equilibria in continuous-time of naval dynamical systems. Computational methods in marine engineering 2009: [extended abstracts presented at MARINE 2009, the Third International Conference on Computational Methods in Marine Engineering, held at the Norwegian University of Science and Technology (NTNU) in Tronheim, Norway, 15-17 June 2009]. Barcelona, 2009. pp. 356-359
@inproceedings{fc89e07cf2604f3e8e7ec49cc634cd56,
title = "Two-parameter bifurcation of equilibria in continuous-time of naval dynamical systems",
abstract = "The objective of the article is to classify the asymptotical dynamics behaviour of a marine propulsion plant by using two parameters bifurcation. The marine propulsion plant is mathematically represented by a three-dimensional system of non-linear ordinary differential equations (ODE). The presented mathematical methodology is referred to a generic twin-screw ship, with a Combined Gas and Gas propulsion configuration (COGAG). The non-linear ODE system proposed by the authors in a previous paper [1] represents the hull dynamics, the machinery dynamics, and the action of the propulsion control device. In the previous paper, the mathematical structure of the model, some simulations and a validation on the base of full scale sea trials data, were presented. The present paper is more focused on the stability analysis of the system, in order to assess the numerical values of some important control parameters. The analysis may be useful in the preliminary design phase of the propulsion control device in order to evaluate the best control parameters and to avoid some unwanted dynamical behaviour such as chaos or periodicity.",
keywords = "non linear differential equations, phase portrait, numberical simulations, marine gas turbine, ship propulsion",
author = "Marco Altosole and Andrea Coraddu and Massimo Figari",
year = "2009",
month = "6",
day = "19",
language = "English",
isbn = "9788496736665",
pages = "356--359",
booktitle = "Computational methods in marine engineering 2009",

}

Altosole, M, Coraddu, A & Figari, M 2009, Two-parameter bifurcation of equilibria in continuous-time of naval dynamical systems. in Computational methods in marine engineering 2009: [extended abstracts presented at MARINE 2009, the Third International Conference on Computational Methods in Marine Engineering, held at the Norwegian University of Science and Technology (NTNU) in Tronheim, Norway, 15-17 June 2009]. Barcelona, pp. 356-359, 3rd International Conference on Computational Methods in Marine Engineering, Trondheim, Norway, 15/06/09.

Two-parameter bifurcation of equilibria in continuous-time of naval dynamical systems. / Altosole, Marco; Coraddu, Andrea; Figari, Massimo.

Computational methods in marine engineering 2009: [extended abstracts presented at MARINE 2009, the Third International Conference on Computational Methods in Marine Engineering, held at the Norwegian University of Science and Technology (NTNU) in Tronheim, Norway, 15-17 June 2009]. Barcelona, 2009. p. 356-359.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

TY - GEN

T1 - Two-parameter bifurcation of equilibria in continuous-time of naval dynamical systems

AU - Altosole, Marco

AU - Coraddu, Andrea

AU - Figari, Massimo

PY - 2009/6/19

Y1 - 2009/6/19

N2 - The objective of the article is to classify the asymptotical dynamics behaviour of a marine propulsion plant by using two parameters bifurcation. The marine propulsion plant is mathematically represented by a three-dimensional system of non-linear ordinary differential equations (ODE). The presented mathematical methodology is referred to a generic twin-screw ship, with a Combined Gas and Gas propulsion configuration (COGAG). The non-linear ODE system proposed by the authors in a previous paper [1] represents the hull dynamics, the machinery dynamics, and the action of the propulsion control device. In the previous paper, the mathematical structure of the model, some simulations and a validation on the base of full scale sea trials data, were presented. The present paper is more focused on the stability analysis of the system, in order to assess the numerical values of some important control parameters. The analysis may be useful in the preliminary design phase of the propulsion control device in order to evaluate the best control parameters and to avoid some unwanted dynamical behaviour such as chaos or periodicity.

AB - The objective of the article is to classify the asymptotical dynamics behaviour of a marine propulsion plant by using two parameters bifurcation. The marine propulsion plant is mathematically represented by a three-dimensional system of non-linear ordinary differential equations (ODE). The presented mathematical methodology is referred to a generic twin-screw ship, with a Combined Gas and Gas propulsion configuration (COGAG). The non-linear ODE system proposed by the authors in a previous paper [1] represents the hull dynamics, the machinery dynamics, and the action of the propulsion control device. In the previous paper, the mathematical structure of the model, some simulations and a validation on the base of full scale sea trials data, were presented. The present paper is more focused on the stability analysis of the system, in order to assess the numerical values of some important control parameters. The analysis may be useful in the preliminary design phase of the propulsion control device in order to evaluate the best control parameters and to avoid some unwanted dynamical behaviour such as chaos or periodicity.

KW - non linear differential equations

KW - phase portrait

KW - numberical simulations

KW - marine gas turbine

KW - ship propulsion

M3 - Conference contribution book

SN - 9788496736665

SP - 356

EP - 359

BT - Computational methods in marine engineering 2009

CY - Barcelona

ER -

Altosole M, Coraddu A, Figari M. Two-parameter bifurcation of equilibria in continuous-time of naval dynamical systems. In Computational methods in marine engineering 2009: [extended abstracts presented at MARINE 2009, the Third International Conference on Computational Methods in Marine Engineering, held at the Norwegian University of Science and Technology (NTNU) in Tronheim, Norway, 15-17 June 2009]. Barcelona. 2009. p. 356-359