The reference time for phase angles, and the reporting convention used (e.g. whether phases are reported as lags or leads). Again, OrcaFlex allows a range of options. As well as displacement RAOs, which directly specify the motion of a vessel in waves, OrcaFlex can apply wave load RAOs, which represent instead the load (force and moment) on a vessel due to waves. In this case, the amplitude represents the magnitude of the force (in the surge, sway or heave direction) or moment (in the roll, pitch or yaw direction); the meaning of the phase remains unchanged. Example:

Finding the forces on the ship when it is forced to oscillate in still water conditions. The forces are divided into: I say to my wife, 'I wish I had a Rao's to go to. I wish I had a Rao's to go hang out in, to go sit at the bar and meet wonderful people, and then sit down and have a wonderful meal," he says. I can see why. It's 10:20 p.m. We've been here since 7:45, but the hours have gone by in a flash and I have no desire to give up my bar stool and leave the center of all the action.

A surge force RAO of 300 kN/m in a wave of height 6m (and hence wave amplitude 3m) means that a vessel experiences a surge force varying harmonically between -900kN and +900kN over each wave cycle; a pitch moment RAO of 1e6 kN.m/m in the same wave means that the vessel experiences a moment about the y axis varying from -3e6 kN.m to +3e6 kN.m. In the above, "Ship" must be interpreted widely to also include other forms of floating structures. The obvious problem in the above method is the neglection of viscous forces which contribute heavily in modes of motion like surge and roll.

I am married 46 years," he says. "Same woman. She's great. I love my wife. 46 years. Does she come here? No. I don't want her here. When I come here, I work. What am I going to do? Sit with her at the bar? I have people I have to talk to, things I have to do." Can't hear you," he says, pointing to his ear. (Now I understand whom the gruff waiters at Carbone are copying.) M + A ( ω ) ] x ¨ + B ( ω ) x ˙ + C x = F ( ω ) {\displaystyle {\big [}M+A(\omega ){\big ]}{\ddot {x}}+B(\omega ){\dot {x}}+Cx=F(\omega )}The vessel has 6 degrees of freedom: 3 translations (surge, sway, heave) and 3 rotations (roll, pitch, yaw), so the RAO data consist of 6 amplitude and phase pairs for each wave period and direction. The RAO amplitude and phase vary for different types of vessel, and for a given vessel type they vary with draught, wave direction, forward speed and wave period / frequency. It is important to obtain accurate values for the RAO amplitude and phase if the dynamics of the system are to be correctly modelled. I am that old! I could be your father!" says Frank, who will celebrate his 70th birthday this year.

In the field of ship design and design of other floating structures, a response amplitude operator ( RAO) is an engineering statistic, or set of such statistics, that are used to determine the likely behavior of a ship when operating at sea. Known by the acronym of RAO, response amplitude operators are usually obtained from models of proposed ship designs tested in a model basin, or from running specialized CFD computer programs, often both. RAOs are usually calculated for all ship motions and for all wave headings. On a computer the above algorithm was first introduced by using strip theory and Boundary Element Method. Today both of the methods are still used if the need for fast calculations outweigh the need for precise results and the ship designer knows the limitations of strip theory. More advanced programs that are used today utilizes Boundary Element Method through different applications (such as WAMIT, SESAM WADAM, MOSES, NeMOH and ANSYS AQWA) some may also include the effects of viscosity. The insight into the forces that governs the seakeeping behavior of a ship gained from the above are of course still valid within considered limits of free surface linearity. Where x {\displaystyle x} is a rigid body motion such as heave, ω {\displaystyle \omega } is the oscillation frequency, M {\displaystyle M} is the structural mass and inertia A ( ω ) {\displaystyle A(\omega )} is the added mass (frequency dependent), B ( ω ) {\displaystyle B(\omega )} is the linear damping (frequency dependent), C {\displaystyle C} is the restoring force coefficient (stiffness matrix) and F ( ω ) {\displaystyle F(\omega )} is the harmonic excitation force proportional to the incoming wave ζ = ζ a e i ω t {\displaystyle \zeta =\zeta _{a}e And you would be protected," he tells her. "I am a gentleman and I only allow gentlemen. If anybody is stupid, I would be right there. I only allow ladies and gentlemen. I don't want anything else." Although OrcaFlex allows the RAO input data to use a wide range of systems, all OrcaFlex results use a right-handed system in which the positive movements are as follows: Surge

Choose My State

Frank looked around the room. "That first table there, they gave their table to this group at the bar. These guys are all executives from PepsiCo. If you have a table, you can give it to your friends, your business associates, or to a charity auction. I had Bobby Flay, Michael Romano, a whole bunch of big chefs last week and I didn' t know they're coming. I never know who's coming in. That's what makes it wonderful. It's serendipity. There's no grand design or plan. The only caveat is if you're not going to use your table and no one else is going to use that table, that's when you call me." Damping (Hydrodynamic) forces due to the oscillations creating outgoing waves which carry energy away from the ship. As it turns out, Frank sang in a group called the Holidaes in the 1960s. "I was an old doo-wop guy," he says. "I get Billy Joel, Sting, Jimmy Fallon in here. Jimmy Fallon loves to sing doo-wops! So whenever he's here, I start singing, and boom, he jumps up and starts singing. And before you know it the whole room is going nuts."

In the old days, Abbot says, Frank used to open the reservation book on a quarterly basis and when he came by to get his table assignment, Donald Trump was waiting in line outside the door with other regulars. The coordinate system used to define vessel motions and, in particular, which direction is positive. That is, whether surge is positive forward or aft, whether heave is positive up or down and whether pitch is positive bow up or bow down.The Diffraction forces, which are pressures that occur due to the disturbances in the water because of a body being present. RAOs are effectively transfer functions used to determine the effect that a sea state will have upon the motion of a ship through the water, and therefore, for example, whether or not (in the case of cargo vessels) the addition of cargo to the vessel will require measures to be taken to improve stability and prevent the cargo from shifting within the vessel. Generation of extensive RAOs at the design phase allows shipbuilders to determine the modifications to a design that may be required for safety reasons (i.e., to make the design robust and resistant to capsizing or sinking in highly adverse sea conditions) or to improve performance (e.g., improve top speed, fuel consumption, stability in rough seas). RAOs are computed in tandem with the generation of a hydrodynamic database, which is a model of the effects of water pressure upon the ship's hull under a wide variety of flow conditions. Together, the RAOs and hydrodynamic database provide (inasmuch as this is possible within modelling and engineering constraints) certain assurances about the behavior of a proposed ship design. They also allow the designer to dimension the ship or structure so it will hold up to the most extreme sea states it will likely be subjected to (based on sea state statistics).