PNV5204 - Aula 03A

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PNV5204 
Dinâmica Aplicada a 
Tópicos de Engenharia Oceânica I
Prof. Dr. Celso Pupo Pesce
Prof. Dr. Alexandre Nicolaos Simos
Escola Politécnica
Formulação geral da dinâmica de sistemas flutuantes amarrados
Equacionamento via Equações de Euler-Lagrange
Energia Cinética
Energia Potencial do Sistema de Amarração
Forças Generalizadas Conservativas e Não-Conservativas
	Sistema de amarração
	Ondas, Correnteza, Vento
	Amortecimento estrutural e hidrodinâmico
PNV5204 - Aula #03A
BIBLIOGRAFIA:
Faltinsen, O.M. Sea Loads on Ships and Offshore structures. Cambridge University Press, 1990.
Hamill, P. A Student’s Guide to Lagrangians and Hamiltonians. Cambridge University Press, 2014.
Korotkin, A. O. Added Masses of Ship Structures. Springer. 2010.
Newman, J.N. Marine Hydrodynamics. The M.I.T. Press, Cambridge MA/USA, 1977.
Pesce, C. P. Dinâmica dos Corpos Rígidos. Escola Politécnica da Universidade de São Paulo (EPUSP), 2001, 2009, 2019.
Teses, dissertações e artigos selecionados.
x
y
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Sistemas coordenados,
ângulos de Euler e matriz de mudança de base
Pesce, C.P., 1984.
Equações de movimento no plano 
Textos manuscritos em pdf:
https://edisciplinas.usp.br/mod/folder/view.php?id=3171211
Loyds Standards
Rigidez de Sistemas de Amarração:
https://edisciplinas.usp.br/mod/folder/view.php?id=3187782
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Spread-mooring system
FPSO
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Spread-mooring system
FOWT
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Spread-mooring system
FOWT
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Spread-mooring system
FOWT
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Turret-mooring system
FPSO
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Turret-mooring system
FPSO
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Turret-mooring system
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Spread-mooring
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Spread-mooring
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FPSO
Forças de Amarração e Matriz de Rigidez
(Pesce, Amaral, Franzini, 2018), baseado em Pesce, 1985
Forças de Amarração e Matriz de Rigidez
Forças de Amarração e Matriz de Rigidez
Forças de Amarração e Matriz de Rigidez
Forças de Amarração e Matriz de Rigidez
Forças de Amarração e Matriz de Rigidez
Caso de Estudo: FOWT – OC4 (Pesce, Amaral, Franzini, 2018)
FOWT unity	
Type										Semi-sub	
Mass									14,267 t	
Yaw moment of inertia around Gz				12.260E06 tm2	
Surge added mass (Maxx) (*)					8,270 t	
Sway added mass (Mahh) (*)					8,270 t	
Yaw added moment of inertia (Iayy) (*)			6.230E06 tm2	
Center of mass (G)							centered	
Draught									20 m	
Diameter of central column					6.5 m	
Diameter of offset columns					12 m	
Diameter of base columns					24 m	
Diameter of braces							1.6 m
	
(*) at zero frequency		
Caso de Estudo: FOWT – OC4
Mooring system
	
Number of mooring lines						3	
Type	mooring chain	
Equidistant arrangement	at 						120o	
Radius from center to anchors					837.6m	
Radius from center to fairleads					40.9m	
Mass per unit length 							113.35kg/m	
Immersed weight per unit length					1064.6N/m	
Unstretched mooring length (base case) 			835.5m	
Horizontal pre-tension (base case)					962.57kN	
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FOWT
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Spread-mooring system
FOWT
Spread-mooring system
FOWT
Spread-mooring system
FOWT
				OC4-DeepCwind mooring system analyzed conditions	
Pre-tensioning condition					Low			Design		High	
Pre-tensioning ratio to the base case		0.9			1.0			1.1	
Unstretched mooring line length (m)		837.0		835.5		833.5	
Horizontal pre-tensioning (kN)			866.3		962.6		1058.8	
Pre-tensioning (kN)						1079.1		1161.0		1266.4	
Angle at fairlead w.r.t. horizontal (o)		35.3			34.0			32.5	
Spread-mooring system OC4 – Stiffness Matrix
Design Case – y=0 
Spread-mooring system OC4 – Stiffness Matrix
High Pretension Case 
y = 0 
y = 10 o 
t = 0.9 
Períodos Naturais (s)
Spread-mooring system OC4 – Stiffness Matrix
Design Case – y=0 
t = 1.0
t = 1.1
Modos de Oscilação
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