### Abstract

Among the new concepts developed for high speed marine vehicles over the last two decades [1], the 'aerodynamic alleviation' [2] approach consists in using an aerodynamic surface to 'alleviate' the weight sustained by the hydrodynamic lift. Such vehicle experiences aerodynamic and hydrodynamic forces of the same order of magnitude, therefore the dynamic models developed for airborne and waterborne vehicles are not suitable. Considering a vehicle having a high-speed prismatic planing hull and one or more aerodynamic surfaces, the authors propose two mathematical methods. The first one calculates the equilibrium attitude of the vehicle at a given speed and its numerical implementation has been used to undertake a parametric analysis of the influence of some configuration characteristics on performances. The second method analyzes the static stability of the HV. Starting from the dynamic analysis previously proposed by the authors [3], the characteristic polynomial of the HV dynamics is derived and a static stability criterion is proposed.

Original language | English |
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Title of host publication | Royal Institution of Naval Architects - 8th Symposium on High Speed Marine Vehicles, HSMV 2008 |

Pages | 148-161 |

Number of pages | 15 |

Publication status | Published - 22 Dec 2008 |

Event | 8th Symposium on High Speed Marine Vehicles, HSMV 2008 - Naples, Italy Duration: 21 May 2008 → 23 May 2008 |

### Conference

Conference | 8th Symposium on High Speed Marine Vehicles, HSMV 2008 |
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Country | Italy |

City | Naples |

Period | 21/05/08 → 23/05/08 |

### Fingerprint

### Keywords

- mathematical model
- aerodynamics
- dynamic analysis
- fluid dynamics
- gas dynamics
- stability criteria

### Cite this

*Royal Institution of Naval Architects - 8th Symposium on High Speed Marine Vehicles, HSMV 2008*(pp. 148-161)

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*Royal Institution of Naval Architects - 8th Symposium on High Speed Marine Vehicles, HSMV 2008.*pp. 148-161, 8th Symposium on High Speed Marine Vehicles, HSMV 2008, Naples, Italy, 21/05/08.

**A mathematical model to analyze the static stability of hybrid (aero-hydrodynamically supported) vehicles.** / Collu, M.; Patel, M. H.; Trarieux, F.

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

TY - GEN

T1 - A mathematical model to analyze the static stability of hybrid (aero-hydrodynamically supported) vehicles

AU - Collu, M.

AU - Patel, M. H.

AU - Trarieux, F.

PY - 2008/12/22

Y1 - 2008/12/22

N2 - Among the new concepts developed for high speed marine vehicles over the last two decades [1], the 'aerodynamic alleviation' [2] approach consists in using an aerodynamic surface to 'alleviate' the weight sustained by the hydrodynamic lift. Such vehicle experiences aerodynamic and hydrodynamic forces of the same order of magnitude, therefore the dynamic models developed for airborne and waterborne vehicles are not suitable. Considering a vehicle having a high-speed prismatic planing hull and one or more aerodynamic surfaces, the authors propose two mathematical methods. The first one calculates the equilibrium attitude of the vehicle at a given speed and its numerical implementation has been used to undertake a parametric analysis of the influence of some configuration characteristics on performances. The second method analyzes the static stability of the HV. Starting from the dynamic analysis previously proposed by the authors [3], the characteristic polynomial of the HV dynamics is derived and a static stability criterion is proposed.

AB - Among the new concepts developed for high speed marine vehicles over the last two decades [1], the 'aerodynamic alleviation' [2] approach consists in using an aerodynamic surface to 'alleviate' the weight sustained by the hydrodynamic lift. Such vehicle experiences aerodynamic and hydrodynamic forces of the same order of magnitude, therefore the dynamic models developed for airborne and waterborne vehicles are not suitable. Considering a vehicle having a high-speed prismatic planing hull and one or more aerodynamic surfaces, the authors propose two mathematical methods. The first one calculates the equilibrium attitude of the vehicle at a given speed and its numerical implementation has been used to undertake a parametric analysis of the influence of some configuration characteristics on performances. The second method analyzes the static stability of the HV. Starting from the dynamic analysis previously proposed by the authors [3], the characteristic polynomial of the HV dynamics is derived and a static stability criterion is proposed.

KW - mathematical model

KW - aerodynamics

KW - dynamic analysis

KW - fluid dynamics

KW - gas dynamics

KW - stability criteria

UR - http://www.scopus.com/inward/record.url?scp=57649183524&partnerID=8YFLogxK

M3 - Conference contribution book

SN - 9781605604602

SP - 148

EP - 161

BT - Royal Institution of Naval Architects - 8th Symposium on High Speed Marine Vehicles, HSMV 2008

ER -