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SESAM
Wadam
Program version 8.1
APPENDIX B
22-JAN-2010
THEORY
B1
Hydrostatic Forces
B 1.1
Hydrostatic Coefficients
Wadam calculates the non-zero coefficients Cij in the hydrostatic restoring matrix as follows:
C 33 = ρgS
C 43 = ρgS 2 = C 34
C 53 = – ρgS 1 = C 35
C 44 = ρg ( S 22 + V w z B ) – mgz G
C 54 = – ρgS 12 = C 45
C 46 = – ρgV w x B + mgx G
C 55 = ρg ( S 11 + V w z b ) – mgz G
C 56 = – ρgV w y B + mgy G
Here:
( x B, y B, z B )
is the centre of buoyancy
( x G, y G, z G )
is the centre of gravity
ρ
is the density of the fluid
B-1