... stiffness matrix hydrostatic stiffness matrix integral equation united states government stiffness matrix radiation potential module upstream oil & gas hydrostatic stiffness vector cmb method direct coupling method natural period dmb method displacement vector sub-sea system...

... of the wave resonance on motions and sectional loads is also investigated. Several conclusions are summarized, which may provide useful guidance for the further design of the tourism platform. platform tourism platform wave elevation frequency radiation potential wave direction free surface...

... tension force along the connecting lines. sustainability sustainable development wind turbine subsea system wind-wave misalignment wind speed mooring system offshore support vessel environmental condition maximum relative distance radiation potential velocity potential social...

.... experiment submergence depth anti-motion device modal function equation submerged horizontal porous plate hydroelasticity analytic solution velocity potential radiation potential porous plate hydroelastic response cosh sinh coefficient vlf continuity deflection amplitude horizontal porous...

... oil & gas liquified natural gas lloyd gas monetization floating production system ship motion amplitude natural frequency tank flow boundary value problem beam sea condition liquid surface velocity potential model radiation potential experimental data fpso lng upstream oil...

... free surface pontoon multidisciplinary optimization optimization problem constraint artificial intelligence boundary condition iteration dimension significant wave port side equation breakwater resistance radiation problem velocity potential radiation potential sidewall...

... wave infinite sum mindlin plate watanabe benchmark solution circular vlf radiation potential superposition deflection utsunomiya subsea system circular plate Hydroelastic Analysis of Pontoon-Type Circular VLFS Eiichi Watanabe, Tomoaki Utsunomiya Department of Civil Engineering, Kyoto...

... method and the multiplescattering technique to deal with the evaluation of the exciting wave loads, added mass and damping coefficients. prediction boundary condition radiation potential kodan subsea system wave elevation incident wave heave relative motion ship unit displacement...

...) where Or(X.Z) is the radiation potential due to vibration in rth mode normalized by the complex amplitude of the vibration -icoTor. The radiation force fR(x,t) is expressed as Re[ipogd(x,O)e ]f.(x,t) = -p = zlO = Re[-po{Re(Oco:Tcolmi¢oT)}e ] -[ ] - -Z pRe[O,(x,O)] d2T dT, - ~ + pco Im (x, O)] ,-o dt...

... methods coincide well with the experimental ones, especially for the longitudinal motions. variation coefficient incident wave radiation potential frequency hydrodynamic coefficient equation amplitude engineering prediction method wetted hull surface relative motion diffraction force...

... background and some numerical results are presented here. The first-order diffraction and radiation potentials for deep-draft multiple circular cylinders are first obtained in analytic forms. The second-order potential force is then calculated by the indirect method using an assisting radiation potential...

... a strict solution method for the secondorder diffraction potential, which improved Kyozuka's method (1980). steady force submergence steady vertical force free surface vertical force miao boundary value problem frequency slender body radiation potential wave frequency wave force...