TLP, Semi, Spar, FPSO
TLP is tendon-restrained, Semi is column-stabilized, Spar has deep draft for low heave, FPSO/FLNG are ship-shaped storage and production units
TLP, Semi, Spar, FPSO
TLP is tendon-restrained, Semi is column-stabilized, Spar has deep draft for low heave, FPSO/FLNG are ship-shaped storage and production units
Swell
swells travel long distances and often dominates design loads
capillary waves
Tiny ripples act as starting point for wave growth. Shows importance of microscale processes.
Kelvin Instability
Early attempt to explain ripples, but limited since it ignored turbulence. Shows how theories evolve
Group Velocity
Represents the transport speed of wave energy
Bernoulli equation
Shows energy conservation in wave motion, but linearization removes nonlinear terms. Useful in practice, but limited for steep or breaking waves
Laplace equation
cannot capture viscous or rotational effects present in real seas
Hp3
allows potential flow theory to be applied
Hp2
Valid for surface gravity waves since water density changes are negligible
Hp1
This simplifies equations by neglecting viscosity, making analysis easier, ignores turbulence and boundary friction which is important in coastal engineering
98032.6805 J/m2
shouldn't it be 627.84 J/m2
3
fdmax is given per unit length, so we multiply by the length of each segment i.e 3m
steady flow
non oscillating motion
mass loads
Morrison equation applicable area
≈ 10
Viscous effects not important below this point
Iteration needed
I Think we can multiply both side by d and set x=kd This gives x*tanh(x) = constant , which is easier to solve iteratively . once x is found, k can be calculated since d is given
( got k as 0.112 and wavelength as 56.071 using this — might not be highly accurate. )
dispersion equation
It means the speed of wave depends on wavelength / frequency
−
If the term is (𝑘𝑥 − 𝜔𝑡), then as time increases x must also increase to keep the phase constant , meaning the wave moves forward in the +x direction
If the term is (𝑘𝑥 + 𝜔𝑡), then as time increase x must decrease to keep the phase constant , meaning the wave moves backward in the -x direction
𝑇𝑣
calculated solving 1/fv
𝑆𝑡
Strouhal number usually taken the value of 0.2 as it is nearly constant for a wide range Re
𝑘
stiffness
Vortex-Induced Vibration (VIV)
animation helped understand the process better
Lift force
vortex shed at trough and crest , 2 time more for drag
https://svs.gsfc.nasa.gov/3827
The animation on this slide was really engaging and helped in understanding the concept better
The house size is assumed to bea cube L×W×H = 5m×5m×5m
It would have been more interesting if the house dimensions were different (not just a cube) and if the wind direction relative to the house was specified. This would allow for more realistic calculation of projected area and wind load effects at various angles.